Wild ramification and geometry of valuations (joint algebraic geometry and number theory seminar)

Abstract: Wild ramification is known to be a major obstacle to solving various questions in positive characteristic, including resolution of singularities, compactifying Hurwitz spaces, etc., and the very terminology suggests that we are dealing with something not so controllable. Nevertheless, in valuative geometries, such as Berkovich or adic, some wild ramification phenomena that originally look chaotic do get very conceptual explanations. In my talk I will give a few examples with the different function of a ramified covering being the main player.

(At 2 pm in advance, there will be an informal pre-talk giving an introduction to non-archimedean geometry.)

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