June 20th, 2023

Johannes Ebert (Universität Münster)

Title

On the homology of diffeomorphism groups of odd-dimensional manifolds.

Abstract

The last 20 years have seen tremendous progress in our understanding of the homology of diffeomorphism groups of even-dimensional manifolds after a suitable stabilization (adding many copies of Sⁿ x Sⁿ), due to work by Madsen--Weiss and Galatius--Randal-Williams. The odd-dimensional case is a mystery until now; the naive generalization of the aforementioned results is certainly false. I will report on some progress that has been made in this direction, in particular about the evaluation of the homology in an important special case, namely the connected sum of many copies of Sⁿ x Sⁿ⁺¹. This is joint work with Jens Reinhold.

Schedule

10:00 - 11:30 RTG Lecture 1 (Zachary Greenberg), SR 2.058

11:30 - 12:00 Get-Together with speaker, SR 2.058

12:00 - 13:00 Common lunch

13:00 - 13:30 Informal meeting of PhD students, room 1.062

13:45 - 14:45 RTG colloquium: Johannes Ebert, SR. 1067

14:45 - 15:30 Common tea, Faculty meeting room 1.058

15:30 - 17:00 RTG Lecture 2 (self learning session from Julia Heller), SR 1.067

KA