Bay Area Microlocal Analysis Seminar: The inverse spectral problem for strictly convex domains

Seminar | April 12 | 4:10-5 p.m. | 740 Evans Hall

 Hamid Hezari, UC Irvine

 Department of Mathematics

We discuss the recent developments in the inverse length spectral theory of smooth strictly convex domains, including the works of Avila–De Simoi–Kaloshin and Kaloshin–Sorrentino on the Birkhoff conjecture, and De Simoi–Kaloshin–Wei on the length spectral rigidity of nearly circular domains with a reflectional symmetry. In a joint work with Zelditch we explore the inverse Laplace spectral problem for nearly circular ellipses, among all smooth domains without any symmetry or convexity assumption.