2:00 pm, Wednesday, 29th May


It is a folklore conjecture that the sup norm of a Laplace eigenfunction on a compact hyperbolic surface grows more slowly than any positive power of the eigenvalue. In dimensions three and higher, this was shown to be false by Iwaniec-Sarnak and Donnelly, using methods from the theory of automorphic forms. I will present joint work with Farrell Brumley that strengthens these results and extends them to locally symmetric spaces associated to SO(p,q). Almost all of this talk will be accessible to analysts as well as number theorists.


Simon Marshall 

Research area

Number Theory


University of Wisconsin Madison


Wednesday 29th May 2024, 2.00 pm


Room 4082 (Anita B. Lawrence Center)