The seminar on mathematical physics will be held on select Mondays and Wednesdays from 12 – 1pm in CMSA Building, 20 Garden Street, Room G10. This year’s Seminar will be organized by Artan Sheshmani and Yang Zhou.
The list of speakers for the upcoming academic year will be posted below and updated as details are confirmed. Titles and abstracts for the talks will be added as they are received.
Date  Speaker……………  Title/Abstract 
9/10/2018  Xiaomeng Xu, MIT  Title: Stokes phenomenon, YangBaxter equations and GromovWitten theory.
Abstract: This talk will include a general introduction to a linear differential system with singularities, and its relation with symplectic geometry, YangBaxter equations, quantum groups and 2d topological field theories. 
9/17/2018  Gaetan Borot, Max Planck Institute  Title: A generalization of Mirzakhani’s identity, and geometric recursion
Abstract: McShane obtained in 1991 an identity expressing the function 1 on the Teichmueller space of the oncepunctured torus as a sum over simple closed curves. It was generalized to bordered surfaces of all topologies by Mirzakhani in 2005, from which she deduced a topological recursion for the WeilPetersson volumes. I will present new identities which represent linear statistics of the simple length spectrum as a sum over homotopy class of pairs of pants in a hyperbolic surface, from which one can deduce a topological recursion for their average over the moduli space. This is an example of application of a geometric recursion developed with Andersen and Orantin. 
9/24/2018  Yi Xie, Simons Center 
Abstract: In this talk we will show that Khovanov’s sl(3) link homology together with its module structure can be generalized for spatial webs (bipartite trivalent graphs).We will also introduce a variant called pointed sl(3) Khovanov homology. Those two combinatorial invariants are related to KronheimerMrowka’s instanton invariants $J^\sharp$ and $I^\sharp$ for spatial webs by two spectral sequences. As an application, we will prove that sl(3) Khovanov module and pointed sl(3) Khovanov homology both detect the planar theta graph. 
10/01/2018  Don Bejleri, Harvard  TBA 
10/08/2018  PeiKen Hung, MIT  
10/15/2018  Chris Gerig, Harvard  Title: A geometric interpretation of the SeibergWitten invariants
Abstract: Whenever the SeibergWitten (SW) invariants of a 4manifold X are defined, there exist certain 2forms on X which are symplectic away from some circles. When there are no circles, i.e. X is symplectic, Taubes’ “SW=Gr” theorem asserts that the SW invariants are equal to welldefined counts of Jholomorphic curves (Taubes’ Gromov invariants). In this talk I will describe an extension of Taubes’ theorem to nonsymplectic X: there are welldefined counts of Jholomorphic curves in the complement of these circles, which recover the SW invariants. This “Gromov invariant” interpretation was originally conjectured by Taubes in 1995. This talk will involve contact forms and spinc structures. 
10/29/2018  Francois Greer, Simons Center 
TBA 
11/05/2018  Siqi He, Simons Center  TBA 
11/12/2018  Yoosik Kim, Boston University  TBA 
11/19/2018  Yusuf Barış Kartal, MIT 
TBA

12/10/2018  Fenglong You, University of Alberta 
Title: Relative and orbifold GromovWitten theory
Abstract: Given a smooth projective variety X and a smooth divisor D \subset X, one can study the enumerative geometry of counting curves in X with tangency conditions along D. There are two theories associated to it: relative GromovWitten invariants of (X,D) and orbifold GromovWitten invariants of the rth root stack X_{D,r}. For sufficiently large r, AbramovichCadmanWise proved that genus zero relative invariants are equal to the genus zero orbifold invariants of root stacks (with a counterexample in genus 1). We prove that higher genus orbifold GromovWitten invariants of X_{D,r} are polynomials in r and the constant terms are exactly higher genus relative GromovWitten invariants of (X,D). If time permits, I will also talk about further results in genus zero which allows us to study structures of genus zero relative GromovWitten theory. This is based on joint work with HisanHua Tseng, Honglu Fan and Longting Wu.

For a listing of previous Mathematical Physics Seminars, please click here.