Curvature and Betti Numbers via the Bochner Technique
Time: 2022-09-01
Published By: Wenqiong Li
Speaker(s): Peter Petersen (University of California, Los Angeles)
Time: 09:00-10:00 September 7, 2022
Venue: Online
Abstract:
Speaker:
Zoom:
Link: https://us06web.zoom.us/j/84973939213?pwd=Wk94VmNNK3lVaXJUWkJRcDczbFJMUT09
ID: 849 7393 9213
Passcode: 081038
I will give a brief survey of the most recent results that relate to the classical Bochner Technique. The focus will be on restrictions on Betti numbers and holonomy coming from curvature conditions that are based on (weighted) averages of eigenvalues. Both the standard curvature operator and the curvature operator of the second kind will be used.
Speaker:
Peter Petersen is currently Distinguished Professor at UCLA. He obtained his PhD at the University of Maryland in 1987 under the tutelage of Karsten Grove and worked at Penn and Princeton before accepting a job at UCLA in 1989. He was elected as Fellow of the American Mathematical Association in 2020. His research has been in metric and Riemannian geometry as well as geometry analysis.
Zoom:
Link: https://us06web.zoom.us/j/84973939213?pwd=Wk94VmNNK3lVaXJUWkJRcDczbFJMUT09
ID: 849 7393 9213
Passcode: 081038
