Automorphism groups of Riemann surfaces

Abstract: Classification questions about automorphisms of compact Riemann surfaces date back to the 1800s. There has been renewed interest in these questions over the last 30 years as advances in computation have provided new ways to explore the area. We will talk about some of those advancements focusing on groups which are automorphisms in just about every genus they should be (particularly simple groups and the alternating groups $A_n$). We also make a connection to non-normal subvarieties in the singular locus $\mathcal{M}_g$.

number theory

Audience: researchers in the topic

Five College Number Theory Seminar