Modul:   MAT770  Oberseminar: Algebraische Geometrie

The motivic spectral sequence for twisted K-theory

Talk by Dr. Denis Nardin

Date: 04.04.22  Time: 13.15 - 14.45  Room: Y27H25

Twisted K-theory is a variant of algebraic K-theory built out of modules over an Azumaya algebra. It is therefore natural to ask how many properties it shares with algebraic K-theory. In this talk I will show that the situation is as good as can be expected (at least over a field of characteristic 0), extending results by M. Levine and B. Kahn. In particular we will construct a spectral sequence converging to twisted K-theory whose E_2-page are certain "twisted" Chow groups. This is joint work with E. Elmanto and M. Yakerson.