Event Type:

Number Theory Seminar

Date/Time:

Tuesday, May 14, 2019 - 16:00 to 16:45

Location:

Weniger 201

Guest Speaker:

Institution:

Portland State University

Abstract:

We apply a Minkowski-type theorem for function fields to compute the

proportion of certain families of hyperellptic curves over finite

fields of characteristic three that have any particular a-number. In

particular, we compute the number of hyperellptic curves of any genus

with maximal a-number over any such field. This work is joint with

Jeffrey Lin Thunder and Colin Weir.

Host: