Workshop on Vertex Operator Algebras in Mathematics and Physics
Overview
The workshop Vertex Operator Algebras in Mathematics and Physics will be devoted to a variety of topics, but one special theme will be relations between the theory of D-branes and the algebraic and geometric theory of vertex operator algebras. The theory of vertex operator algebras has been developing rapidly as a mathematical theory, and an increased level of understanding of the structures of conformal field theory has been achieved through extensive study of the geometry and representation theory of vertex operator algebras, the motivation being both mathematical and physical. Recent developments in string theory, in particular, the study of mirror symmetry via Gepner models and the world-sheet approach to D-branes, are expected to provide a rich source of problems for mathematicians, and these developments also suggest that the theory of vertex operator algebras might provide a mathematical foundation for a number of constructions in the theory of D-branes through the mathematical study of boundary conformal field theory. Since vertex operator algebra theory is formulated without classical geometry, it might also shed light on the problem of the meaning of space-time in string theory or M theory. It is hoped that the workshop will promote mutually beneficial interaction between mathematicians and physicists.
Invited Speakers
Peter Bantay, Eotvos University, Budapest | Robert L. Griess, University of Michigan |
Katrina Barron, University of California - Santa Cruz | Haisheng Li, Rutgers University |
Chongying Dong, University of California - Santa Cruz | Fyodor Malikov, University of Southern California |
Michael Douglas, Rutgers University | Geoffrey Mason, University of California - Santa Cruz |
Boris Feigin, Landau Institute of Theoretical Physics | Antun Milas, Rutgers University |
Edward Frenkel, University of California at Berkeley | Andreas Recknagel, AEI Potsdam |
Igor Frenkel*, Yale University | Graeme Segal, University of Cambridge |
Juergen Fuchs, ETH Zurich | Volker Schomerus, DESY Hamburg |
Doron Gepner, Weizmann Institute of Science | Christoph Schweigert, Paris VI |
Brian R. Greene, Columbia University | Wenhua Zhao, University of Chicago |
* These speakers are not yet confirmed.
Schedule
09:00 to 09:30 |
Registration
|
09:30 to 10:30 |
Riemann surfaces with boundaries and vertex operator algebra theory
Yi-Zhi Huang, Rutgers University |
10:30 to 11:00 |
Coffee break
|
11:00 to 12:00 |
Automorphic and combinatorial properties of free field theories at higher genus
G. Mason, University of California, Santa Cruz |
12:00 to 14:00 |
Lunch
|
14:00 to 15:00 |
D-branes in Curved Space
M. Douglas, Rutgers University |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:30 |
Regular representations and Zhu's $A(V)$-theory
H. Li, Rutgers University |
09:30 to 10:30 |
Vertex operator algebras and dual pairs
C. Dong, University of California, Santa Cruz |
10:30 to 11:00 |
Coffee break
|
11:00 to 12:00 |
Solitonic representations and boundary categories
J. Fuchs, Karlstad University |
12:00 to 14:00 |
Lunch
|
14:00 to 15:00 |
The minimal model on the projective line
K. Nagatomo, Osaka University |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:30 |
Seiberg - Witten differential as a period of rational elliptic surface
A. Tsuchiya, Nagoya University |
09:30 to 10:30 |
From Branes to Boundary Conformal Field Theory
A. Recknagel, King's College, University of London |
10:30 to 11:00 |
Coffee break
|
11:00 to 12:00 |
Brane Dynamics and Non-Commutative Geometry
V. Schomerus, Max Planck Institute |
12:00 to 14:00 |
Lunch
|
14:00 to 15:00 |
Recent results on automorphism groups of VOAs
R. Griess, University of Michigan |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:30 |
Aspects of the construction of conformal field theories
James Lepowsky, Rutgers University |
16:30 to 18:30 |
Cocktail Reception
|
09:30 to 10:30 |
Integrable highest weight modules and vertex operator algebras
A. Meurman, Lund University |
10:30 to 11:00 |
Coffee break
|
11:00 to 12:00 |
Basic representations for classical affine Lie algebras
M. Primc, University of Zagreb |
12:00 to 14:00 |
Lunch
|
14:00 to 15:00 |
TBA
F. Malikov, University of Southern California |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:30 |
Vertex operator algebras and $\zeta$--functions
A. Milas, Rutgers University |
09:30 to 10:30 |
Change of variables formulas for N=1 Neveu-Schwarz vertex operator superalgebras and alternate notions of superconformality
K. Barron, University of California, Santa Cruz |
10:30 to 11:00 |
Coffee break
|
11:00 to 12:00 |
Genera of Vertex Operator Algebras and $3$-dimensional Topological Quantum Field Theories
G. Hoehn, University of Freiburg |
12:00 to 14:00 |
Lunch
|
14:00 to 15:00 |
Permutation orbifolds
P. Bantay, Rolland Eotvos University Location:Fields Institute, Room 230 |
15:00 to 15:30 |
Coffee break
|
15:30 to 16:30 |
TBA
B. Feigin, Landau Institute of Theoretical Physics Location:Fields Institute, Room 230 |