Organizer(s) | Alejandro Ginory | Archive | |
Website | http://math.rutgers.edu/~ag930/VOASeminar |
Upcoming Talks
Thursday, April 27th |
Joel Clingempeel, Rutgers University |
"TBA" |
Time: 5:10 PM |
Location: Hill 525 |
Past Talks
Thursday, April 20th |
Alejandro Ginory, Rutgers University |
"Generalized Theta Functions and VOA's" |
Time: 5:10 PM |
Location: Hill 525 |
Thursday, March 23rd |
Fei Qi, Rutgers University |
"Rationality of iterates of vertex operators in a MOSVA" |
Time: 5:10 PM |
Location: Hill 525 |
Abstract: I'll use complex analysis I talked about before to give a proof to the rationality of iterates. |
Thursday, March 2nd |
Johannes Flake , Rutgers University |
"Deligne's category Rep(S_t)" |
Time: 5:10 PM |
Location: Hill 525 |
Abstract: The representations of S_n form a semisimple tensor category Rep(S_n) for any natural number n. Deligne constructed interesting tensor categories Rep(S_t) for, say, all complex numbers t which interpolate / extrapolate from these in a certain precise way. Understanding the construction will be a very original and hands-on exercise in representation theory, combinatorics and tensor categories for us. |
Thursday, February 23rd |
Robert Laugwitz, Rutgers University |
"Dijkgraaf--Witten theory for finite groups and the Drinfeld double" |
Time: 5:10 PM |
Location: Hill 525 |
Abstract: In this expository talk, I will attempt to explain how the Drinfeld double of a finite group (with a 3-cocycle) naturally appears in the work of Dijkgraaf--Witten to construct a topological gauge field theory via Chern--Simons theory. This way, one obtains a 3,2,1-extended topological field theory associating to the 1-sphere the modular tensor category of finite-dimensional representations over this Drinfeld double.
References: Dijkgraaf, Robbert; Witten, Edward. Topological gauge theories and group cohomology. Comm. Math. Phys. 129 (1990), no. 2, 393--429 Fuchs, Jürgen; Schweigert, Christoph. Symmetries and defects in three-dimensional topological field theory. String-Math 2014, 21--40, Proc. Sympos. Pure Math., 93, Amer. Math. Soc., Providence, RI, 2016 Witten, Edward. Quantum field theory and the Jones polynomial. Comm. Math. Phys. 121 (1989), no. 3, 351--399. |
Thursday, February 16th |
Fei Qi, Rutgers University |
"Complex analysis in the study of MOSVA" |
Time: 5:10 PM |
Location: Hill 525 |
Abstract: In order to prove the rationality of iterates of any numbers of vertex operators, we need some theorems in several complex variable functions as preparation. We shall discuss them in great detail. |
Thursday, February 9th |
Fei Qi, Rutgers University |
"Complex analysis in the study of MOSVA" |
Time: 5:10 PM |
Location: Hill 525 |
Abstract: In order to prove the rationality of iterates of any numbers of vertex operators, we need some theorems in several complex variable functions as preparation. We shall discuss them in great detail. |
Thursday, February 2nd |
Fei Qi, Rutgers University |
" Vertex operators in Meromorphic Open String Vertex Algebras" |
Time: 5:10 PM |
Location: Hill 525 |
Abstract: I'll recall the definition of MOSVA. Then I'll talk about how to interpret the vertex operator as overline{V}-valued maps and how to deal with the subtle issues arising in the interpretation. |
Thursday, January 26th |
Alejandro Ginory, Rutgers University |
"Kazhdan-Lusztig Tensor Products of Affine Lie Algebra Modules" |
Time: 5:10 PM |
Location: Hill 525 |
Abstract: In this talk, I will present the so-called "double dual" construction of the Kazhdan- Lusztig tensor product of affine Lie algebra modules of level (or central charge) k-h where k is NOT a non-negative rational (and h is the Coxeter number). This construction is analogous to the tensor product structure of modules of certain classes of VOA's. |