AMS
2003 Spring Central Sectional Meeting #985
April 4-6, Bloomington, IN
Special Session on Representations of Infinite Dimensional Lie Algebras and Mathematical Physics
General Information:
List of Participants, Titles of Talks, and Reference Links:
Iana Anguelova - University of Illinois at Urbana-Champaign
Title: Quantum vertex algebrasLev Borisov - University of Wisconsin
Title: Chiral rings of vertex algebras of mirror symmetryMichael Gekhtman - University of Notre Dame
Title: Sklyanin Poisson brackets and refined Bruhat cells in real GrassmanniansRobert Griess, Jr. - University of Michigan
Title: Framed VOAs and frame stabilizersYi-Zhi Huang - Rutgers University
Title: Differential equations and conformal field theories -- Link to the pdf version of the paper; and link to the postscript version of the paper.
Further references: Vertex Operator Algebras in Mathematics and Physics, to appear in: Fields Institute Communications, ed. S. Berman, Y. Billig, Y.-Z. Huang and J. Lepowsky, Amer. Math. Soc., Providence, 24 pages; link to pdf version; and link to postcript version.
Differential equations, duality and modular invariance, 69 pages, to appear; link to pdf version; and link to postscript version.
Differential equations and conformal field theories,10 pages, to appear; link to pdf version; and link to postcript version.
Kate Hurley - University of South Carolina
Title: Virasoro highest-weight vectors in vertex operator algebras-- Link to information provided by C. Schweigert on the interesting collection of exceptional Lie algebras appearing in Kate Hurley's talk.James Lepowsky - Rutgers University
Title: Intertwining operators for vertex operator algebras and recursions for q-series -- Link to first version of paper.Tony Milas - University of Arizona
Title: Logarithmic operators and vertex operator algebrasKailash Misra - North Carolina State University
Title: Bosonic realizations of higher level toroidal Lie algebrasDavid Radnell - Rutgers University
Title: Schiffer variation in Teichm\"uller space and determinant line bundlesMichael Roitman - University of Michigan
Title: Affinization of commutative algebrasAlistair Savage - Yale University
Title: Bases of representations of type A affine Lie algebras via quiver varieties and statistical mechanics -- Link to paper.Christoph Schweigert - RWTH Aachen
Title: Algebras in Tensor categories and conformal field theory -- Link to postscript copy of transparancies.Gaywalee Yamskulna - SUNY-Binghamton
Title: C_2 cofiniteness of the vertex operator algebra V_L^+ when L is arank one latticeWenhua Zhao - Washington University in St. Louis
Title: D-Log's and formal flows of analytic maps and rooted trees
Katrina D. Barron
Department of Mathematics
255 Hurley Hall
University of Notre Dame
Notre Dame, IN 46556
Phone: (574)631-3981
email: kbarron@nd.eduRinat Kedem
Department of Mathematics
University of Illinois at Urbana-Champaign
273 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Phone: (217)244-1350
email: rinat@math.uiuc.edu
Friday, April 4th
3:00 - 3:20 Iana Anguelova, Quantum vertex algebras
3:30 - 3:50 Alistair Savage, Bases of representations
of type A affine Lie algebras via quiver varieties and statistical mechanics
4:00 - 4:20 David Radnell, Schiffer variation
in Teichm\"uller space and determinant line bundles
4:30 - 5:20 Lev Borisov, Chiral rings of vertex algebras
of mirror symmetry
5:40 - 6:30 AMS Invited Address
Saturday, April 5th
8:30 - 9:20 Kailash Misra, Bosonic realizations of higher level toroidal Lie algebras
9:30 - 9:50 Tony Milas, Logarithmic operators and vertex operator algebras
10:00 - 10:20 Wenhua Zhao, D-Log's and formal flows of analytic maps and rooted trees
10:30 - 11:20 James Lepowsky, Intertwining operators for vertex operator algebras and recursions for q-series
11:40 - 12:30 AMS Invited Address
LUNCH
2:00 - 2:50 AMS Invited Address
3:00 - 3:20 Gaywalee Yamskulna, C_2 cofiniteness of the vertex operator algebra V_L^+ when L is a rank one lattice
3:30 - 3:50 Michael Roitman, Affinization of commutative algebras
4:00 - 4:50 Robert Griess, Framed VOAs and frame stabilizers
5:10 - 6:00 AMS Invited Address
RECEPTION HOSTED BY THE MATH DEPT OF INDIANA UNIVERSITYSunday, April 6th:
9:30 - 10:20 Michael Gekhtman, Sklyanin Poisson brackets and refined Bruhat cells in real Grassmannians
10:30 - 11:20 Christoph Schweigert, Algebras in tensor categories and conformal field theory
11:30 - 11:50 Kate Hurley, Virasoro highest-weight vectors in vertex operator algebras
12:00 - 12:50 Yi-Zhi Huang, Differential equations and conformal field theories
Information provided by C. Schweigert on the interesting collection of exceptional Lie algebras appearing in Kate Hurley's talk:
The work of Deligne (in French):
P. Deligne, La s\'erie exceptionelle de groupes de Lie.
C.R.Acad.Sci. Paris (S\'erie I -- Math\'ematique) 322 (1996) 321
P. Deligne and R. de Man, La s\'erie exceptionelle de groupes de Lie
II
C.R.Acad.Sci. Paris (S\'erie I -- Math\'ematique) 323 (1996) 577
Important checks on the conjectures (computer, using LiE):
A.M. Cohen and R. de Man, Computational evidence for Deligne's conjecture
regarding exceptional Lie groups.
C.R.Acad.Sci. Paris (S\'erie I -- Math\'ematique) 322 (1996) 427
Intrigingly, the same series of exceptional Lie algebras appears in
Patrick Dorey, Andrew Pocklington, Roberto Tateo:
Integrable aspects of the scaling q-state Potts models I: bound states
and bootstrap closure. Preprint available at http://arxiv.org/abs/hep-th/0208111
(contains also some references to highly unorthodox work of Cvitanovic
about exceptional Lie groups).
Last updated April 15, 2003.