Events for 12/07/2022 from all calendars

Noncommutative Geometry Seminar

Time: 2:00PM - 3:00PM

Location: BLOC 302

Speaker: Sven Hirsch

Title: On a generalized Geroch Conjecture

Abstract: The Theorem of Bonnet-Myers implies that manifolds with topology M^{n-1} x S^1 do not admit a metric of positive Ricci curvature, while the resolution of Geroch's conjecture implies that the torus T^n does not admit a metric of positive scalar curvature. In this work we introduce a new notion of curvature interpolating between Ricci and scalar curvature (so called m-intermediate curvature), and use stable weighted slicings to show that for n <= 7 the manifolds N^n = M^{n-m} x T^m do not admit a metric of positive m-intermediate curvature. This is joint work with Simon Brendle and Florian Johne.

Tenure Track Hiring Meeting

Time: 4:00PM - 5:00PM

Location: Bloc 117