## Geometry Seminar - Abstracts

### Talk

Tuesday 20 November 2018, 16:00-17:00 in HG00.068

**Frans Oort** (Utrecht)

*Automorphisms of algebraic curves*

### Abstract

We discuss algebraic curves with many automorphisms. A geometric argument, the Hurwitz stratification of the moduli space of algebraic curves, will be explained. Maximal and minimal strata will be described. In particular we will show: there exist minimal strata of arbitrarily high dimension. Several classical examples will be described in detail. Questions and open problems will be discussed.

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