Derived equivalences of gerbey curves

Abstract: The question of whether derived equivalences determine a variety has been studied widely. Antieau, Krashen and Ward (AKW) studied the question of when two genus 1 curves are derived equivalent. A gerbey curve is a G_m gerbe over a usual curve. In joint work with Libby Taylor, we explore the question of when two gerbey genus 1 curves are derived equivalent. In this talk, I will give some background on derived equivalences of varieties, how they relate to derived equivalences of stacks and then talk about some extensions of the results of AKW.

The discussion for Soumya Sankar’s talk is taking place not in zoom-chat, but at tinyurl.com/2021-01-29-ss (and will be deleted after ~3-7 days).

algebraic geometry

Audience: researchers in the topic

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com