\'Etale K-theory and motivic cohomology
Akhil Mathew (University of Chicago)
Abstract: Two key features of algebraic K-theory are its failure to satisfy \'etale descent, and its motivic filtration in terms of higher Chow groups in the case of smooth schemes over a field (but expected more generally). I will explain a description of \'etale K-theory, which is the universal approximation to K-theory that satisfies \'etale descent; this is joint work with Dustin Clausen. Moreover, following the recent work of Bhatt--Morrow--Scholze on topological cyclic homology, I will also explain a construction of (an analog of) the motivic filtration on \'etale K-theory (and \'etale motivic cohomology) for arbitrary schemes (work in progress with Bhargav Bhatt and Dustin Clausen).
algebraic geometry
Audience: researchers in the topic
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 for the seminar, and can join any future talk using the link you receive by email. If you lose the link, feel free to reregister. This might work too: stanford.zoom.us/j/95272114542
More seminar information (including slides and videos, when available): agstanford.com
| Organizer: | Ravi Vakil* |
| *contact for this listing |