RUTGERS ALGEBRA SEMINAR - Spring 2004

26 Jan: Diane Maclagan   Stanford  "Toric Hilbert schemes" (talk at 4:30 PM)
28 Jan: Greg Smith       Columbia  "Orbifold Cohomology of Toric Stacks" (talk at 11:30 AM)
30 Jan: Anna Lachowska   MIT       "TBA" (talk at 1:10 PM)
 6 Feb: Chuck Weibel     Rutgers   "A survey of non-Desarguesian planes"
13 Feb: Kia Dalili       Rutgers   "The HomAB Problem"
20 Feb: Vladimir Retakh  Rutgers   "An Introduction to A-infinity Algebras"
27 Feb: Vladimir Retakh  Rutgers   "An Introduction to A-infinity Algebras II"
 5 Mar: Remi Kuku        IAS    "A complete formulation of the Baum-Connes Conjecture for the 
                                 action of discrete quantum groups"
12 Mar: Amnon Yekutieli  Ben Gurion Univ. "On Deformation Quantization in Algebraic Geometry"
19 Mar: no seminar	------------- Spring Break ------------- 
26 Mar: Alexander Retakh     MIT   "Conformal algebras and their representations"
 2 Apr: Aaron Lauve      Rutgers    "Capture the flag: towards a universal noncommutative flag variety"
 9 Apr* Stefano Capparelli Univ. Rome  "The affine algebra A22 and combinatorial identities"
16 Apr: Uwe Nagel       U.Kentucky  "Extremal simplicial polytopes"
16 Apr(C) Dale Cutkosky U. Missouri Colloquium Talk at 4:30 PM

23 Apr* Paul Rabinowitz Wisconsin    *** D'Atri Lecture at 1:10 PM ***
23 Apr: Li Guo          Rutgers-Newark "Dendriform algebras and linear operators"
30 Apr: Earl Taft         Rutgers   "There exists a one-sided quantum group"
 7 May Student Body Left  Rutgers   ---- Final Exam Grading Marathon --------

Classes begin January 20, 2004
Spring Break is March 13-21, 2004
Regular classes end Monday May 3. Final Exams are May 6-12, 2004.
Math Group Final Exam time is Thursday May 6 (4-7PM)

RUTGERS ALGEBRA SEMINAR - Fall 2003 (in room H425)
 5 Sept George Willis   U. South Wales "scale functions on totally disconnected groups" 
 5 Sept Colonel Henry Rutgers -------- Department Reception ----------------
 8 Sept	Various people        -------- Gelfand 90th Birthday Celebration --------------
12 Sept Edwin Beggs     U.Wales-Swansea, UK  "Constructing tensor categories from from finite groups"
19 Sept Charlie Sims    Rutgers         "Algorithmic Questions in Rings of Rational Matrices?"
26 Sept David Radnell   Michigan       Thesis Defense:
       "Schiffer Variation in Teichmüller space, determinant line bundles and modular functors"
 3 Oct* Liang Kong	Rutgers        "Open-string vertex algebras"
10 Oct  C. Musili    U.Hyderabad, India "The Development of Standard Monomial Theory" 
17 Oct Roy Joshua       Inst. Adv. Study "The Motivic DGA"
24 Oct Bodo Pareigis	Univ. Munich   "Modules, Comodules, Entwinings and Braidings"
31 Oct*	Benjamin Doyon  Rutgers		"From vertex operator algebras to the Bernoulli numbers"
 7 Nov* Geoffrey Buhl	Rutgers		"Complete reducibility and C_n-cofiniteness of vertex operator algebras"
14 Nov 	no RU seminar	------ Borel Memorial at IAS -----------
21 Nov* Lin Zhang       Rutgers		"A vertex operator algebra approach to the construction of a tensor category of Kazhdan-Lusztig"
28 Nov: Tom Turkey	----------Thanksgiving Break------------
 5 Dec* Victor Ostrik   IAS		"Finite extensions of vertex algebras"
12 Dec* Matt Szczesny   U. Penn.  	"Orbifolding the chiral de Rham complex"

Semester begins Tuesday September 2, 2003.
Lewis Lectures are the week of October 3rd.
Regular classes end Wednesday, December 10. Final Exams are Dec. 15-22.
Math Group Exam time is Monday Dec.15 (4-7PM)


RUTGERS ALGEBRA SEMINAR - Spring 2003 

28 Jan* Masahiko Miyamoto  Japan    "Interlocked modules and pseudo-trace functions"  
31 Jan:	no seminar	------------- Jean Taylor Symposium ------------- 
 5 Feb: Angela Gibney	Michigan "Some open questions about the geometry of the moduli space of curves"

21 Feb* Kiyokazu Nagatomo Japan  "Conformal field theory over the projective line"
28 Feb: Jooyoun Hong     Rutgers  "Normality of Rees algebras for conormal modules"
 7 Mar*: Yucai Su   Shanghai/Harvard    "Lie algebras associated with derivation-simple algebras"
14 Mar* Chengming Bai  Nankai&Rutgers "Novikov algebras and vertex (operator) algebras"
21 Mar: no seminar	------------- Spring Break ------------- 
28 Mar*: David Radnell   Rutgers   "Schiffer Variation in Teichmüller Space and Determinant Line Bundles"
 3 Apr: Claudio Pedrini U.Genova   "Finite dimensional motives"  Thursday 3PM - Note change in day!
 4 Apr# Hy Bass & Deborah Ball Michigan "Preparing teachers for the mathematical work of teaching"
11 Apr*: Lin Zhang       Rutgers   "Tensor category theory for modules for a vertex operator algebra -- introduction and generalization"
18 Apr: Constantin Teleman Cambridge U.  "Twisted K theory from the Dirac spectral flow"
25 Apr* Michael Roitman  Michigan    "Affinization of commutative algebras"
 2 May: Frederick Gardiner CUNY "The pure mapping class group of a Cantor set"  At 1:30 PM - Note change in time!
 9 May: Carlo Mazza      Rutgers   "Schur's Finiteness conditions in tensor categories" At 3:30 PM in H425 - Note change in time and room!

Regular classes end Monday May 5. Final Exams are May 8-14, 2003.
Math Group Final Exam time is Thursday May 8 (4-7PM)

RUTGERS ALGEBRA SEMINAR - Fall 2002 
 6 Sep: no seminar	Rosh Hoshanah
13 Sep: no seminar	Department Reception
20 Sep* YZ Huang        Rutgers  "Differential equations, duality and modular invariance"
27 Sep* Matthias Gaberdiel Kings College "Conformal field theory and vertex operator algebras"
 4 Oct: no seminar
11 Oct: Ravi Rao	TATA  "Raga Bhimpalasi: The Vaserstein-Suslin Jugalbandhi"
11 Oct(C) Igor Kriz	Michigan Colloquium Talk "Conformal field theory and elliptic cohomology" at 4:30 PM
18 Oct: Richard Stanley MIT 	Jacqueline Lewis Lecture at 4:30PM
18 Oct*: Earl Taft      Rutgers "Is there a one-sided quantum group?"
25 Oct:Christian Kassel CNRS-Univ. Louis Pasteur, Strasbourg "Explicit norm one elements for ring actions of finite abelian groups"
25 Oct(C) C. Kassel	""(Strasbourg) Colloquium Talk "Recent developments on Artin's braid groups" at 4:30PM
 1 Nov* Benjamin Doyon  RU Physics  "Twisted vertex operator algebra modules and Bernoulli polynomials"
 8 Nov: Charles Weibel  RU          "The work of Vladimir Voevodsky"
15 Nov* Takashi Kimura  IAS/Boston U. "Integrable systems and topology"
22 Nov: Julia Pevtsova  IAS   "Support Varieties for Finite Group Schemes"
29 Nov: Tom Turkey	----------Thanksgiving Break------------
 6 Dec: Anya Lachowska MIT "Modular group action in the center of the small quantum group"

RUTGERS ALGEBRA SEMINAR - Spring 2002 

25 Jan: no seminar     Job Interview Talks
 1 Feb:	no seminar     Job Interview Talks
 8 Feb* Liz Jurisich  College of Charleston "The monster Lie algebra, Moonshine and generalized Kac-Moody algebras"
15 Feb:j Will Toler     RU Physics "Low dimensional topology and gauge theory"
22 Feb#  Laura Alcock   RU Math/Ed "The first course in real analysis in England: figuring out the conceptions students form"
 1 Mar:  -----		--		CANCELLED
 8 Mar*j Benjamin Doyon RU Physics "Vertex Operator Algebras and the Zeta function"
15 Mar*j Gordon Ritter  Harvard   "Montonen-Olive Duality in Yang-Mills Theory"
22 Mar: no seminar	------------- Spring Break ------------- 
29 Mar* Sergei Lukyanov RU Physics "Once again about Bethe Ansatz"
 5 Apr:j Benjamin Doyon RU Physics "Fractional Derivatives"
12 Apr: Lisa Carbone    RU "Lattice subgroups of Kac-Moody groups over finite fields"
19 Apr: Agata Smoktunowicz Yale/Warsaw(PAS) "A simple nil ring exists"
26 Apr: Earl Taft	RU  "Recursive Sequences and Combinatorial Identities"
 3 May* Yi-Zhi Huang	RU  "Differential equations and intertwining operators"
10 May: Calculus Profs	Rutgers	"Grading of Final Exams"

Regular classes end Monday, May 6. Final Exams end Wednesday, May 15.
Math Group Exam time is Thursday May 9th (4-7PM).

	RUTGERS ALGEBRA SEMINAR - Fall 2001

07 Sep:			Rutgers	Math Department Reception (4PM)
14 Sep* Sasha Kirillov	SUNY Stony Brook "On a q-analog of the McKay correspondence"
21 Sep: Ngo Viet Trung  Inst.Math.Hanoi "Hilbert functions of non-standard bigraded algebras"

 5 Oct: Ed Letzter	Temple  "Effective Representation Theory of Finitely Presented Algebras"
12 Oct* Yi-Zhi Huang	Rutgers  "Vertex operator algebras and conformal field theories"
19 Oct: V. Retakh	Rutgers  "Algebra and combinatorics of pseudo-roots of 
		             noncommutative polynomials and noncommutative differential polynomials" 
26 Oct*: Yan Soibelman	Kansas State U. "Elliptic curves and quantum tori"
 2 Nov* Yi-Zhi Huang	Rutgers  "Vertex operator algebras and conformal field theories II"
 9 Nov* Deepak Parashar MPI Leipzig "Some biparametric examples of Quantum Groups"
16 Nov* Yi-Zhi Huang	Rutgers  "Vertex operator algebras and conformal field theories III"
23 Nov: Tom Turkey	----------Thanksgiving Break------------
30 Nov* Hai-Sheng Li	Rutgers Camden "Certain noncommutative analogues of vertex algebras"
 7 Dec: Chuck Weibel	Rutgers	"Congruence subgroups of SL2(Z[1/n]), after Serre"
14 Dec:

regular classes end Wednesday, December 12. Final Exams are Dec. 15-22.
Math Group Exam time is Monday Dec.17 (4-7PM)

	RUTGERS ALGEBRA SEMINAR - Spring 2001

26 Jan: Alexei Borodin	U.Penn ------- Job Candidate Interview -------
 2 Feb: Chuck Weibel	Rutgers	"POSTPONED TO March 30"
 9 Feb:	Dave Bayer	Columbia U. "Toric Syzygies and Graph Colorings"
16 Feb: Igor Kriz	U.Michigan  "A geometric approach to elliptic cohomology"
23 Feb* Yi-Zhi Huang	Rutgers	"Conformal-field-theoretic analogues of codes and lattices"
 2 Mar: Carl Futia	Southgate Capital Advisors "Bialgebras of Recursive Sequences and Combinatorial Identities"
 9 Mar* Haisheng Li	Rutgers Camden "Regular representations for vertex operator algebras"
16 Mar: no seminar	------------- Spring Break ------------- 
23 Mar* Yvan Saint-Aubin U.Montreal+IAS "Boundary behavior of the critical 2d Ising model"
30 Mar:	Chuck Weibel	Rutgers "Functors with transfer (on rings)"
 6 Apr*: Richard Ng	Towson U "The twisted quantum doubles of finite groups"
13 Apr*  Charles Doran	Columbia "Variation of the mirror map and algebra-geometric isomonodromic deformations"
20 Apr*: Lev Borisov	Columbia "Elliptic genera of singular algebraic varieties"
27 Apr: Diane Maclagan	IAS	"Supernormal vector configurations, Groebner fans, and the toric Hilbert scheme
 4 May: Calculus Profs	Rutgers	"Grading of Final Exams"

Regular classes end Monday, April 30. Final Exams end Wednesday, May 9.
Math Group Exam time is Thursday May 3rd (4-7PM)

	RUTGERS ALGEBRA SEMINAR - Fall 2000 

 8 Sep: Amelia Taylor	Rutgers	"The inverse Gröbner basis problem in codimension two"
15 Sep* Mike Douglas	RU Physics "D-branes"
22 Sep: Chuck Weibel	Rutgers	"Topological vs. algebraic $K$-theory for complex varieties"
29 Sep: no seminar	------------- Rosh Hoshanna ------------
 6 Oct: Daya-Nand Verma	TATA Inst. "Progress Report on the Jacobian Conjecture"
13 Oct: no seminar
20 Oct* Constantin Teleman U.Texas "The Verlinde algebra and twisted K-theory"
27 Oct: Chuck Weibel	Rutgers	"Homotopy Ends and Thomason Model Categories"
 3 Nov* Mirko Primc	U.Zagreb  "Annihilating fields of standard modules of sl_2~ and combinatorial identities"
10 Nov: Suemi Rodriguez-Romo UNAM Mexico "Quantum Group Actions on Clifford Algebras"
17 Nov: Craig Huneke	U.of Kansas "Growth of Symbolic Powers in Regular Local Rings"
24 Nov: Tom Turkey	----------Thanksgiving Break------------
 1 Dec# Nina Fefferman and Matt Young  Rutgers  VIGRE presentations on p-adic numbers 
 8 Dec* Mike Douglas?	RU Physics  "D-branes, instantons and orbifolds"

	RUTGERS ALGEBRA SEMINAR - Winter 2000 

 4 Feb: Martin Sombra	IAS+LaPlata "Division formulas and the arithmetic Nullstellensatz"
11 Feb: no seminar
18 Feb: Claudio Pedrini IAS+Genoa "K-theory of algebraic varieties: a Survey"
25 Feb: M.R.Kantorovitz IAS	"Andre-Quillen homology from a calculus viewpoint"
				(with Hochschild homology and algebraic K-theory for dessert)
 3 Mar: S. Hildebrandt	Bonn	*** D'Atri Lecture *** (2-dim. Variational Problems)
10 Mar: D. Christensen  IAS	"Brown representability in derived categories"
17 Mar:		---	----	-------	Spring Break -----------
24 Mar* Haisheng Li	RU-Camden "Certain extended vertex operator algebras"
31 Mar* Christoph Schweigert Paris "Conformal boundary conditions and three-dimensional topological field theory"
 7 Apr: no seminar
14 Apr* Christian Schubert LAPTH France "Multiple Zeta Value Identities from Feynman Diagrams"
21 Apr: no seminar
28 Apr* Tony Milas	Rutgers	"Structure of fusion rings associated to Virasoro vertex operator algebras"
 3 May* (Wednesday) Tony Milas Rutgers	"Differential operators and correlation functions"

	RUTGERS ALGEBRA SEMINAR - Fall 1999 

24 Sep: V. Retakh	Rutgers "Noncommutative rational functions+Farber's invariants of boundary links"
 1 Oct: Antun Milas*	Rutgers	"Intertwining operator superalgebras for N=1 minimal models"
 8 Oct: Fedor Bogomolov	NY Univ	"Fundamental Groups of Projective Varieties"
15 Oct: Earl Taft	Rutgers	"Sequences satisfying a polynomial recurrence"
22 Oct: Yuji Shimizu*	Kyoto U "Momentum mappings and conformal fields"
29 Oct: Leon Seitelman  U.Conn.  SPECIAL VIGRE LECTURE
		"What's a mathematician like you doing in a place like that"
 5 Nov:	Keith Pardue	IDA/Princeton  "Generic Polynomials"
12 Nov: *Haisheng Li  Rutgers (Camden) "The Diamond lemma for algebras (following Bergman)"
19 Nov: Yuri Tschinkel	U.Illinois "Equivariant compactifications of G_a^n"
26 Nov: Tom Turkey	------Thanksgiving Break--------
 3 Dec: Borisov*	Columbia "Vertex algebras and mirror symmetry"
10 Dec: Chongying Dong	UC Santa Cruz "Holomorphic orbifold theory, quantum doubles and dual pairs"

	RUTGERS ALGEBRA SEMINAR - Spring 1999 

22 Jan:	P. Balmer	Rutgers	"The derived Witt group of a ring"
29 Jan: W. Vasconcelos	Rutgers	"The intertwining algebra"
 5 Feb: Thomas Geisser	U.Tokyo	"TBA"
12 Feb:Dennis Gaitsgory Harvard/IAS "On a VOA of differential operators on a loop group"
19 Feb: Mark Walker	Nebraska "The total Chern class map"
26 Feb: Michael Roitman Yale	"Universal constructions in conformal and vertex algebras"
 5 March: E. Friedlander Northwestern "Re-interpreting the Bloch-Lictenbaum spectral sequence"
12 March: R. Schoen		D'Atri Lecture instead of seminar
19 March: Vernal Equinox	------Spring Break March 14-21----
26 March: Yuji Shimizu	Kyoto and Rutgers "Conformal blocks and KZB equations"
 2 April: Roger Rabbit	Toontown	no seminar (Passover/Easter)
 9 April: 
16 April: Marco Schlichting RU and U. Paris "The negative K-theory of an exact category"
23 April: Chuck Weibel	Rutgers	"Projective modules over normal surfaces"
30 April: Percy Deift	Courant Institute (Colloquium talk)
 7 May:  Yuji Shimizu	Kyoto and Rutgers "Geometric structures underlying some conformal field theories"

	RUTGERS ALGEBRA SEMINAR - Fall 1998 

18 Sep: Lowell Abrams	Rutgers		"Modules, comudules and cotensor products over Frobenius algebras"
25 Sep: Bogdan Ion	Princeton	"Maschke's theorem revisited"
 2 Oct: Haisheng Li(*)	Rutgers Camden	"An infinite-dimensional analogue of Burnside's theorem"
 9 Oct: Aron Simis	Univ.F.Pernambuco (Recife, Brazil) "Geometric Aspects of Rees Algebras"
16 Oct: A. Beilinson	Univ. Chicago	Colloquium in honor of Gelfand
23 Oct: Michael Finkelberg(*) IAS/Independent Moscow Univ. "An integrable system on the space of based maps from P^1 to a flag variety"
30 Oct: Yi-Zhi Huang(*)	Rutgers		"Semi-infinite forms and topological vertex operator algebras"
 6 Nov:	Alfons Ooms	Limburgs Univ, Belgium	"On the Gelfand-Kirillov conjecture"
13 Nov: A. Kirillov, Jr.(*) IAS		"On the Lego-Teichmuller game"
20 Nov:	M.F. Yousif	Ohio State-Lima	"On three conjectures on quasi-Frobenius Rings"
27 Nov:	Tom Turkey	------Thanksgiving Break--------
 4 Dec: C. Lenart	Max Planck (Bonn)	""
11 Dec: S. Majid	Cambridge Univ.	"braided groups and the inductive construction of U_q(g)"

	 Spring 1998 ALGEBRA SEMINAR  

30 Jan: C. Weibel	Rutgers		"local homology vs. cohomology (after Greenlees-May)"
 6 Feb: Brian Parshall	U. of Virginia	"The cohomology and representation theory of reductive groups in non-describing characteristics"
13 Feb: M. Khovanov(*)	Yale and IAS	"Lifting the Jones polynomial of knots to invariants of surfaces in 4-space"
20 Feb: Ming-Sun Li	Rowan Univ.	"Spectral matrices associated to an algebra"
27 Feb: Yi-Zhi Huang(*)	Rutgers		"Analytic aspects of Intertwining Operators"
 6 Mar:	Boris Khesin(*)	IAS+U.Toronto   "Geometric complexification of affine algebras and flat connections on surfaces"
13 Mar: no algebra seminar
20 Mar:	Vernal	Equinox		------Spring Break--------
27 Mar: N. Inassaridze	Razmadze Inst.	"Non-abelian homology of groups"
 3 Apr: Jim Stasheff	UNCarolina	"Physically inspired homological algebra"
10 Apr: Movshev(*)	...	QUANTUM MATH SEMINAR
17 Apr: S. Sahi		Rutgers		"A new character formula for compact Lie groups"
24 Apr: Stefan Schmidt	Berkeley	"Projective Geometry of Modules"
 1 May: Toma Albu	U.Wisc.-Milwaukee "GLOBAL KRULL DIMENSION AND GLOBAL DUAL KRULL DIMENSION OF RINGS"

	Fall 1997 ALGEBRA SEMINAR 

19 Sep: Bill Kantor	U. Oregon  Colloquium: "Black box classical groups"
26 Sep: Lowell Abrams	Rutgers	  "2-dimensional TQFT's and Frobenius Algebras"
 3 Oct:	---		------ Rosh Hoshanna -----
10 Oct: Tor Gunston	Rutgers		"Degree functions and linear resolutions"
31 Oct: Chuck Weibel	Rutgers		"introducing Motives"
 7 Nov: ---		Columbia Univ.	Bass Conference
14 Nov: Stefan Catoiu	Temple Univ.	"IDEALS OF THE ENVELOPING ALGEBRA U(sl_2)"
21 Nov: M. Kontsevich	IHES		"Deformation, Quantization and Beyond"
28 Nov:	Tom Turkey	------Thanksgiving Break--------
 5 Dec: M. Kontsevich	IHES		"Deformation, Quantization and Beyond"
12 Dec: C. Pedrini	U. Genova	"K-Theory and Bloch's Conjecture for complex surfaces"

	RUTGERS ALGEBRA SEMINAR - Spring 1997 

31 Jan: Luisa Doering  	Rutgers      "Generalized Hilbert functions"
 7 Feb: 	postponed
14 Feb:	Miguel Ferrero	Porto Alegre,Brazil "Closed and prime submodules of centered bimodules and applications to ring extensions"
21 Feb: Richard Ng	Rutgers	     "Freeness of Hopf algebras over subalgebras"
28 Feb: Siddartha Sahi	Rutgers	     "Introduction to Macdonald polynomials"
 7 Mar: Barbara Osofsky	Rutgers	     "Projective dimension for commutative von Neumann regular rings and a new lattice invariant"
14 Mar: Chuck Weibel	Rutgers	     "K-theory and zeta functions on number fields"
21 Mar:	------------	Spring Break  ------------
28 Mar: Carl Faith	Rutgers      "Rings with ACCs on annihilators"
 4 Apr: Joe Brennan	N.Dakota     "The Ends of Ideals"
11 Apr: Jan Soibelman	Kansas State "Meromorphic tensor categories and quantum affine algebras"
18 Apr: Chuck Weibel	Rutgers	     "Tor without identity (after Quillen)"
25 Apr: Wolmer Vasconcelos Rutgers   "Integral closure"
 2 May: Luca Mauri	Rutgers	     "2 torsors, TBA"

	RUTGERS ALGEBRA SEMINAR - Fall 1996 

20 Sep: C. Weibel    	Rutgers	"the 2-torsion in the K-theory of Z"
27 Sep: Tor Gunston	Rutgers "Cohomological dimension of graded modules"
 4 Oct:	B. Ulrich     MichState "Divisor class groups and Linkage"
11 Oct:  --		IAS	Langlands Fest
18 Oct:	Bob Guralnick	USC	"Finite Orbit Modules and Double Cosets for Algebraic Groups"
25 Oct: Richard Weiss	Tufts	"Moufang polygons"
 1 Nov: Georgia Benkart Wisconsin "Lie Algebras Graded by Finite Root Systems"
 8 Nov: Richard Ng	Rutgers "On the projectivity of module coalgebras"
15 Nov:  --			no seminar
22 Nov: Bill Keigher	RU-Newark "The ring of Hurwitz series"
29 Nov: Tom Turkey 	Thanksgiving		(no seminar)
 6 Dec: Leon Pritchard	RU-Newark "Hurwitz series Formal Functions"
13 Dec: Reading Period after classes

	ALGEBRA SEMINAR - Spring 1996 

26 Jan: A.Corso    Rutgers	"generic gaussian ideals"
 2 Feb: no seminar
 9 Feb: E. Taft	   Rutgers	"Quantum Convolution"
16 Feb: Frosty S.  Weather	"Snow storm--talks rescheduled"
23 Feb: B. Leasher Rutgers	"Geometric Aspects of Steinberg Groups for Jordan Pairs"
 1 Mar: L. Mauri   Rutgers	"Low-dimensional Descent theory"
 8 Mar: K.Consani  IAS		"Double complexes and local Euler factors on algebraic degeneration"
15 Mar: ------------	Spring Break  ------------
22 Mar: YZ Huang   Rutgers	"On algebraic D-modules and vertex algebras"
29 Mar: Doering&Gunston Rutgers "Algebras Arising from Bipartite Planar Graphs"
 5 Apr: Consuelo Martinez  Yale "Power subgroups of profinite groups"
12 Apr: M. Singer  NC State	"Galois theory for difference equations"
19 Apr: C. Weibel  Rutgers	"Popescu Desingularization (after Swan)"
26 Apr: R. Hoobler CCNY		"Merkuriev-Suslin Theorem for arbitrary semi-local rings"
14 May: K. Mimachi Kyushu U.	"Quantum Knizhink-Zamolodchikov equation and eigenvalue problem of Macdonald equations"

	Algebra Seminar, Winter 1995 

27 Jan	Alberto Corso	Rutgers	"Links of irreducible varieties"
 3 Feb	Chuck Weibel	Rutgers "Operads for the Working Mathematician"
10 Feb	Maria Vaz Pinto Rutgers "Hilbert Functions and Sally Modules"
17 Feb	Yi-Zhi Huang	Rutgers	"Vertex Operator Algebras for Lay Algebraists"
24 Feb	O. Matthieu	"On the modular representations of the symmetric group"
 3 Mar	Claudio Pedrini Genova	"The Chow group of singular complex surfaces"
10 Mar	B.Sturmfels-Berkly A normal form algorithm for modules over k[x,y]/(xy)
18 Mar	------------	Spring Break  ------------
24 Mar	Francesco Brenti IAS "Twisted incidence algebras and 
					Kazhdan-Lusztig-Stanley functions"
31 Mar	Myles Tierney Rutgers 	"Simplicial sheaves"
 7 April Wolmer Vasconcelos	"A Lemma of Gauss"
14 April Peter Cottontail	"Easter's on its way!  (Passover too!)"
21 April Susan Morey  "Symbolic Powers, Serre Conditions and CM Rees algebras"
28 April K.P. Shum Hong Kong/Maryland "Regular semigroups and generalizations"
 5 May	-----------	Spring Exam period  -----------------

	ALGEBRA SEMINAR - Fall 1995   

First meeting was on a Thursday, at 4:30 PM:
28 Sep: M.Gerstenhaber Univ. Pennsylvania "Symplectic structures on max. 
				parabolic subgps. of SL_n and boundary 
				solutions of the classical Yang-Baxter eqn."

All other seminar meetings were on Fridays, at 2:50-4PM in H705.

29 Sept:W. Vasconcelos Rutgers	"Gauss Lemma"
 6 Oct: I. Gelfand     Rutgers	"Noncommutative symmetric functions"
13 Oct: Joan Elias     Barcelona"On the classification of curve singularities"
20 Oct: B. Osofsky     Rutgers  "Connections between foundations and Algebra"
27 Oct: O. Stoyanov    Rutgers	"Quantum Unipotent Groups"
 3 Nov: I. Gelfand     Rutgers  "Noncommutative Grassmannians"
10 Nov: M. Tretkoff    Stevens  "Rohrlich's formula for hypersurface periods"
17 Nov: C. Weibel      Rutgers  "Tinker Toys and graded modules"
24 Nov: Tom Turkey		Thanksgiving Break
 1 Dec: Siu-Hung Ng    Rutgers  "Lie bialgebra structures on the Witt algebra"
 8 Dec: E. Zelmanov    Yale	"On narrow groups and Lie algebras"
15 Dec	--	Classes ended on Wed. 13 December

Abstracts of seminar talks

Orbifold Cohomology of Toric Stacks (Greg Smith, Jan 28, 2004):
Quotients of a smooth variety by a group play an important role in algebraic geometry. In this talk, I will describe an interesting collection of quotient spaces (called toric stacks) defined by combinatorial data. As an application, I will relate the orbifold cohomology of a toric stack with a resolution of the underlying singular variety.

On Deformation Quantization in Algebraic Geometry (Amnon Yekutieli, March 12, 2004):
We study deformation quantization of Poisson algebraic varieties. Using the universal deformation formulas of Kontsevich, and an algebro-geometric approach to the bundle of formal coordinate systems over a smooth variety X, we prove existence of deformation quantization of the sheaf of functions O_X (assuming the vanishing of certain cohomologies). Under slightly stronger assumptions we can classify all such deformations.

Conformal algebras and their representations (Alexander Retakh, March 26, 2004):
Conformal algebras first appeared as an attempt to provide algebraic formalism for conformal field theory (as part of the theory of vertex algebras). They are also closely related to Hamiltonians in the formal calculus of variations.

In this talk, however, I will present conformal algebras as a self-contained theory and will mostly concentrate on their representations, in particular, on the conformal analogs of matrix algebras. These objects are related to certain subalgebras of the Weyl algebra and the algebra gl_{\infty}.

Capture the flag: towards a universal noncommutative flag variety (Aaron Lauve, April 2, 2004):
The standard way to build flag algebras from a set of flags is to use the determinant to coordinatize the latter (then the former is just the polynomial algebra in the coordinate functions for these coordinates). There is a perfectly reasonable notion of noncommutative flags, but what are we to do about the lack of a determinant in noncommutative settings? In this talk I will: (1) use the Gelfand-Retakh quasideterminant to build a generic noncommutative Grassmannian algebra, (2) specialize this generic Grassmannian to recover the well-known Taft-Towber quantum Grassmannian, (3) explain what steps are left before we can build a generic flag algebra. This talk should be accessible to first and second year graduate students.

The affine algebra A₂² and combinatorial identities (Stefano Capparelli, April 9, 2004):
I will give a brief outline of the Lepowsky-Wilson Z-algebra approach to classical combinatorial identities and the Meurman-Primc proof of the generalized Rogers-Ramanujan identities. I will next outline the application of this theory to the construction of the level 3 standard modules for the affine algebra A₂² and the corresponding combinatorial identities as well as Andrews' combinatorial proof of these identities. I will discuss some current ideas for a possible approach to these identities and their generalizations using intertwining operators. Finally, I will mention the apparent link between level 5 and 7 standard modules for the affine algebra A₂² and some other Rogers-Ramanujan-type identities of Hirschhorn.

Extremal simplicial polytopes (Uwe Nagel, April 16, 2004):
In 1980 Billera-Lee and Stanley characterized the possible numbers of i-dimensional faces of a simplicial polytope. Its graded Betti numbers are finer invariants though little is known about them. However, among the simplicial polytopes with fixed numbers of faces in every dimension there is always one with maximal graded Betti numbers. In the talk, this result will be related to the more general problem of characterizing the possible Hilbert functions and graded Betti numbers of graded Gorenstein algebras and key ideas of its proof will be discussed.

Dendriform algebras and linear operators (Li Guo, April 23, 2004):
Dendriform algebras refer to a class of algebra structures introduced by Loday in 1996 with motivation from algebraic K-theory. The field has expanded quite much during the last couple of years, with connections to operad theory, math physics, Hopf algebras and combinatorics. A recent observation is that some basic dendriform algebras are induced by linear operators, such as Baxter and Nijenhuis operators, and more complicated such algebras can be decomposed as products in operad theory. We will discuss these developments.

There exists a one-sided quantum group (Earl Taft, April 30, 2004):
Bialgebras with a left antipode but no right antipode were constructed in the 1980's by J.A.Green, W.D.Nichols and E.J.Taft. Recently, S.Rodriguez-Romo and E.J.Taft tried to construct such a one-sided Hopf algebra within the framework of quantum groups, starting with roughly half the defining relations for quantum GL(2). Asking that the left antipode constructed be an algebra antimorphism led to some additional relations, but the result was a new(two-sided) Hopf algebra. Now we start with roughly half the relations for quantum SL(2) but ask that our left antipode constructed reverse order only on irreducible monomials in the generators. The result is a quantum group with a left antipode but no right antipode.

Open-string vertex algebras (Liang Kong, Oct. 3, 2003):
This is joint work with Y.-Z. Huang.
We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are "open-string-theoretic," "noncommutative" generalizations of the notions of vertex algebra and of conformal vertex algebra. Given an open-string vertex algebra, we show that there exists a vertex algebra, which we call the "meromorphic center" inside the original algebra such that the original algebra yields a module and also an intertwining operator for the meromorphic center. This result gives us a general method for constructing open-string vertex algebras. Besides obvious examples obtained from associative algebras and vertex (super)algebras, we give a nontrivial example constructed from the minimal model of central charge c = 1/2 . We also discuss the relationship between the gradingrestricted conformal open-string vertex algebras and the associative algebras in braided tensor categories. We also discuss a geometric and operadic formulation of the notion of such algebra and the relationship between such algebras and a so-called "Swiss-cheese partial operad.

The Development of Standard Monomial Theory (C. Musili, Oct. 10, 2003):
The main phases of the development of Standard Monomial Theory (SMT) and some of its applications to Geometry and Commutative Algebra will be surveyed without assuming anything and, more importantly, without becoming technical.

Let G be a semi-simple, connected and simply connected algebraic group, defined over an algebraically closed field of characteristic 0. Fix a maximal torus T, a Borel subgroup B containing T, and a maximal parabolic subgroup P containing B. Fix also the root system of G relative to T, the positive/simple roots relative to B, etc. Let W = W(G) be the Weyl group of G.

Let V be a fundamental representation of G corresponding to P. The first main aim of SMT is to construct a "nice" basis for each of the T-weight subspaces in V, having some "compatibility" properties with that of the extremal weight spaces and satisfying some "geometric" properties, etc.

Let M be an irreducible representation of G and express it as a subquotient of the appropriate tensor product of suitable fundamental representations of G. The second main aim of SMT is to construct bases for the weight spaces of M in terms of those constructed for the fundamental representations.

The Motivic DGA (Roy Joshua, Oct. 17, 2003):
We will outline the structure of an E_{\infinity} algebra on the motivic complex drawing the parallel with the singular complex where such a structure was provided by Hinich and Schechtman. We will also consider some applications like the construction of a category of relative Tate motives for a large class of varieties and the construction of cohomology operations in motivic cohomology with finite coefficients. (This is joint work with Peter May.)

Modules, Comodules, Entwinings and Braidings (Bodo Pareigis, Oct. 24, 2003):