Seminar series
Date
Fri, 02 May 2025
Time
12:00 -
13:00
Location
Quillen Room
Speaker
Tim Gehrunger
Organisation
ETH Zurich
The stable reduction of a hyperelliptic curve encodes many of its arithmetic invariants, such as the curve's conductor, minimal discriminant and Galois representation.
In the case of odd residue characteristic, these models may be classified via their cluster pictures, which provides an explicit way to compute the invariants.
In the talk, we will explain recent progress towards a similar result in residue characteristic 2. In particular, we use marked models of the projective line to classify all genus 2 curves in residue characteristic 2.