K-theory and motivic cohomology of singularities
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date:
Thursday, February 24, 2022 13:00 - 15:00
Speaker:
Elden Elmanto (Harvard University)
Location:
Heinzel Seminar Room (I21.EG.101), Office Building West
Series:
Mathematics and CS Seminar
Host:
Tamas Hausel
Contact:
Birgit Oosthuizen-Noczil
The cdh topology, introduced by Suslin and Voevodsky in the 90's, is a Grothendieck topology on schemes, finite type over an arbitrary field k. Assuming resolution of singularities on k, every such scheme is "locally smooth." I will report on joint with Tom Bachmann and Matthew Morrow on how to make efficient use of the cdh topology, without assuming resolution of singularities, to analyze algebraic K-theory and algebraic cycles of non-smooth schemes (even in mixed characteristic situations). No knowledge of (higher) K-theory and motivic cohomology will be assumed.