## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Self maps of varieties over finite fields

#### Abstract :

Esnault and Srinivas proved that as in de Rham cohomology over the complex numbers, the value of the entropy of an automorphism of a smooth proper surface over a finite field $\mathbb{F}_q$ is taken in the span of the Neron-Severi group inside of $\ell$-adic cohomology. In this talk we will discuss some analogous questions in higher dimensions motivated by their results and techniques.

Key Speaker K.V.Shuddhodan, Freie Universitat, Berlin
Place NAC 522
Start Time 11:00 AM
Finish Time 12:00 PM