4:10pm - 5:00pm PST January 31
Peter Sarnak, Professor, Princeton University and Institute for Advanced Study
We review recent developments (conformal bootstrap and random covers) concerning the bass-note of the spectrum of Laplacians on hyperbolic manifolds and on large cubic graphs. We highlight rigidity to creating spectral gaps when restricting the geometries. Lecture 1 will focus on locally symmetric Riemannian spaces, while Lecture 2. on cubic-graphs and the eigenvalues of Frobenius for curves and abelian varieties. Joint work with Alicia Kollar and Fan Wei.
If you require an accommodation for effective communication (ASL interpreting/CART captioning, alternative media formats, etc.) or information about campus mobility access features for on campus events in order to fully participate in this event, please contact the Access Coordinator, event_accommodation@math.berkeley.edu, (510) 642-6550, with as much advance notice as possible and, time permitting, at least 7-10 days in advance of the event. Bechtel Sibley Auditorium - Bechtel Engineering Center