Midwest Topology Seminar, Fall 2020

The Midwest Topology Seminar in Fall 2020 will be held in an online format.  Three 45-minute talks will be separated by two 30-minute coffee breaks.  The breaks will be structured to provide an opportunity for small group conversation in breakout rooms.  Participants will be able to move themselves between rooms, and will be able to see who is in other rooms. (Note: Breakout room functionality works imperfectly with a smartphone or tablet.  It’s best to use a computer for this.)

Schedule

Thursday October 8 (all times eastern)

  • 12:45-1:30pm, Maria Yakerson, ETH Zürich
  • 1:30-2:00pm: Coffee break
  • 2:00-2:45pm: J. D. Quigley, Cornell University
  • 2:45-3:15pm: Coffee break
  • 3:15-4:00pm: Inbar Klang, Columbia University

Registration

Registration is not required to participate.

Abstracts

Speaker: Maria Yakerson
Title: Universality of cohomology theories in algebraic geometry

Abstract: Motivic homotopy theory provides a framework for studying various cohomology theories of algebraic varieties. In this talk, we will discuss how many interesting examples of these cohomology theories, such as algebraic K-theory or algebraic cobordism, acquire universality properties, which are based on certain covariance structures of these cohomology theories. This is a summary of joint projects with Tom Bachmann, Elden Elmanto, Marc Hoyois, Joachim Jelisiejew, Adeel Khan, Denis Nardin, Vladimir Sosnilo and Burt Totaro.

Speaker: J.D. Quigley
Title: Algebraic slice spectral sequences

Abstract: (Joint work with Dominic Culver and Hana Jia Kong.) The slice spectral sequence and the motivic Adams spectral sequence are central computational tools in motivic stable homotopy theory. In this talk, I will construct a square of spectral sequences containing both of them, along with a new spectral sequence, the algebraic slice spectral sequence. I will then apply the square to make some computations in motivic and equivariant stable homotopy theory.

Speaker: Inbar Klang
Title: Isovariant fixed point theory

Abstract: This talk will begin with a survey of the homotopical approach to eliminating fixed points of equivariant maps between manifolds, as developed by Klein and Williams. I will then discuss joint work in progress with Sarah Yeakel, in which we study obstructions to eliminating fixed points of isovariant maps (equivariant maps which preserve isotropy groups).

Organizers

Mark Behrens, Robert Bruner, Paul Goerss, Dan Isaksen, and Vesna Stojanoska

Previous seminars

Spring 2020 Midwest Topology Seminar