Coherent completeness and the local structure of algebraic stacks

Abstract: Formal GAGA is an important theorem in formal geometry which categorizes coherent sheaves on a scheme proper over a complete local noetherian ring in terms of compatible families of coherent sheaves on the thickenings of its central fiber. We will discuss generalizations of this result to algebraic stacks and explain how such results can be used to prove local structure theorems for algebraic stacks. After reviewing joint work with Hall and Rydh which establishes a satisfactory result in characteristic 0, we will discuss partial progress in joint work with Hall and Lim on extending this result to positive characteristic.

algebraic geometry

Audience: researchers in the topic

Comments: The discussion for Jarod Alper’s talk is taking place not in zoom-chat, but at tinyurl.com/2020-10-23-ja (and will be deleted after ~3-7 days).

---

Stanford algebraic geometry seminar

Series comments: This seminar requires both advance registration, and a password. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880

If you have registered once, you are always registered, and can just join the talk. Link for talk once registered: in your email, or else probably: stanford.zoom.us/j/95272114542

More seminar information (including slides and videos, when available): agstanford.com

---