Quadratic forms on rings and the homotopy limit problem

Abstract: Hermitian K-theory is an invariant of rings (or, more generally, schemes) constructed using the behaviour of quadratic forms. In recent years significant progress has been made in the study of it for rings where 2 is not invertible. In this talk I will give an introduction to the subject from a modern perspective, using as a guide work in progress on the homotopy limit problem, which essentially is asking how much information we can recover from just knowing the algebraic K-theory of the ring.

algebraic geometry

Audience: researchers in the topic

( slides | video )

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