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Bordism of commuting involutions

November 16, 2023 at 14:1515:15 CET

Markus Hausmann (Bonn)

Abstract: The bordism ring of manifolds equipped with an involution was computed additively by Conner-Floyd (1965) and multiplicatively by Alexander (1972). Alexander’s description is explicit but complicated and doesn’t seem to enjoy a simple algebraic interpretation.
In this talk I will discuss that if one extends the problem and
1) considers the collection of bordism rings of manifolds with n commuting involutions for all n, and
2) takes into account the representation sphere-grading,
then there is a simple algebraic universal property.

This is joint work with Stefan Schwede.

Zoom Meeting-ID: 967 5163 9626

Passcode: last name of famous mathematician born in Königsberg (small letters)

Details

Date:
November 16, 2023
Time:
14:15 – 15:15 CET

Venue

Mainz, Hilbertraum 05-432