Algebraic Topology Seminar

Monday, July 12, 2021 at 10:00am

Virtual Event

SpeakerMarkus Land (University of Copenhagen)

Title : Grothendieck—Witt theory of Dedekind rings and the stable cohomology of orthogonal and symplectic groups over Z

Abstract : I will first give a brief overview of how one can understand classical Grothendieck—Witt theories of rings in terms of K-theoretic and L-theoretic pieces. Using this, I will explain how to determine various Grothendieck—Witt theories, in particular of Dedekind rings. As further application of these results, I will then give a calculation of the stable cohomology of orthogonal and symplectic groups over the integers focussing on the mod 2 cohomology.

This is all based on joint work with Calmès, Dotto, Harpaz, Hebestreit, Moi, Nardin, Nikolaus, and Steimle, and Hebestreit and Nikolaus.

 

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

MIT Community, Public

Events By School

School of Science

Tags

aldixon, algtop_sem

Website

http://math.mit.edu/topology/

Department
Department of Mathematics
Hashtag

#mathematics

Contact Email

aldixon@mit.edu

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