July 18th, 2023

Urs Lang (ETH Zürich)

Title

Generalized non-positive curvature and higher-rank hyperbolicity

Abstract

In this talk I will first survey several classes of metric spaces that are non-positively curved in a (very) weak global sense and explain how they are interrelated. A focus will be on coarsely injective spaces, which have recently proven to play an unexpectedly universal role in generalizations of Gromov hyperbolicity. In a second part I will discuss some joint work with Tommaso Goldhirsch which complements results of Stefan Wenger and of Bruce Kleiner and myself on hyperbolicity phenomena in spaces of higher asymptotic rank.

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: Urs Lang, SR. 1067

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

15:30 - 17:00 RTG Lecture 2 (Zachary Greenberg), SR 1.067

KA