|Date: Friday, October 06, 2017
Location: 3088 East Hall (4:00 PM to 6:00 PM)
Title: From classical Weierstrass elliptic functions to quantum invariants
Abstract: I will talk about a joint work with Si Li on the computation of higher genus B-model for elliptic curves.
I will first formulate the Feynman amplitudes in the higher genus B-model (Kodaira-Spencer theory) in terms of cohomological parings. Then I will discuss properties of the Feynman amplitudes, including the origin of their quasi-modularity, the geometric Interpretation of their modular completions, etc. Finally I explain the implication of the cohomological reformation in renormalization.
Our method mainly uses the basic theory of algebraic curves. It applies to a large class of two-dimensional conformal field theories and can hopefully find application in Eynard-Orantin topological recursion as well.
Speaker: Jie Zhou