Events Calendar
Canada Life Day (DSAS)
October 1, 2020
DSAS Department Meeting
October 15, 2020

Geometry & Topology 2020-21 - Elden Elmanto (Math)

Wednesday, September 30, 2020
3:30 pm
Virtual - via Zoom

Speaker: Elden Elmanto (Harvard University)

Title: A Dundas-Goodwillie-McCarthy Theorem for Algebraic Stacks

Abstract: The Dundas-Goodwillie-McCarthy (DGM) theorem asserts that the difference between the K-theory of a ring and its thickening is the same as the difference in topological cyclic homology (TC). This has had spectacular applications in computations for K-theory as well as inspiring recent developments in p-adic Hodge theory. According to Bondal and van den Bergh, the category of perfect complexes on a qcqs scheme is equivalent to the category of perfect complexes on a A∞-ring. Therefore, the DGM theorem is applicable in this geometric context.

However, the category of perfect complexes on algebraic stacks do not enjoy this "monogenic generation" property. In joint work with Vova Sosnilo. we proved a version of the DGM theorem where this is applicable in many cases. I will explain how the proof works, whose new input comes from Bondarko's theory of weights (aka co-t-structures), and also some applications.

Chris Kapulkim

Powered by Blackbaud
nonprofit software