##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Nitu Kitchloo

#### Johns Hopkins University

## Symmetries of Symplectic category and a conjecture of Kontsevich

##### Abstract:

Motivated by perturbative computations of Feynman integrals, Kontsevich has conjectured that a certain group known as the Grothendieck-Teichmuller group acts on the moduli space of Field theories. Moreover he has explicitly described this action in certain examples. We first describe a stable context for this question, which can be interpreted as inverting free Bosonic field theories. We then show that a quotient of the GT group acts on the stable object in agreement with computations made by Kontsevich. We will try to make this talk as self contained as possible.

Hosts: Cristian Popescu and Justin Roberts

### March 19, 2015

### 4:00 PM

### AP&M 6402

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