Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

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- Talk [1]

Speaker:

Jie Zhou
Affiliation:

Universität Köln
Date:

Mon, 2017-11-27 11:30 - 12:30 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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/YRSM2017