##### Department of Mathematics,

University of California San Diego

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### Math 211B - Group Actions Seminar

## Dami Lee

#### University of Washington

## Computation of the Kontsevich--Zorich cocycle over the Teichmüller flow

##### Abstract:

In this talk, we will discuss the dynamics on Teichmüller space and moduli space of square-tiled surfaces. For square-tiled surfaces, one can explicitly write down the $SL(2,\mathbb{R})$-orbit on the moduli space. To study the dynamics of Teichmüller flow of the $SL(2,\mathbb{R})$-action, we study its derivative, namely the Kontsevich--Zorich cocycle (KZ cocycle). In this talk, we will define what a KZ cocycle is, and by following explicit examples, we will show how one can compute the KZ monodromy. This is part of an ongoing work with Anthony Sanchez.

Host: Brandon Seward

### May 26, 2022

### 10:00 AM

AP&M 6402

Zoom ID 967 4109 3409

Email an organizer for the password

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