Mathematics Department - Graduate Student Vertex Operator Algebra Seminar - Spring 2017

Graduate Student Vertex Operator Algebra Seminar - Spring 2017



Organizer(s)

Alejandro Ginory

Archive

Website

http://math.rutgers.edu/~ag930/VOASeminar



Upcoming Talks


Thursday, March 2nd

Johannes Flake , Rutgers University

"TBA"

Time: 5:10 PM
Location: Hill 525





Past Talks


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.


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