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 Bmodel for elliptic curves.
I will first formulate the Feynman amplitudes in the higher genus Bmodel (KodairaSpencer theory) in terms of cohomological parings. Then I will discuss properties of the Feynman amplitudes, including the origin of their quasimodularity, 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 twodimensional conformal field theories and can hopefully find application in EynardOrantin topological recursion as well.
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Speaker: Jie Zhou
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