Derived equivalences of gerbey curves
Location
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 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 https://tinyurl.com/2021-01-29-ss (and will be deleted after ~3-7 days).