- Sponsor
- Department of Mathematics
- Speaker
- Debmalya Basak and Cruz Castillo (UIUC)
- Contact
- Jesse Thorner and Yuan Liu
- jat9@illinois.edu and yyyliu@illinois.edu
- Views
- 41
- Originating Calendar
- Mathematics Seminar Series: Number Theory
Title : Surfaces Associated to Zeros of Automorphic $L$-functions
Abstract : Assuming the Riemann Hypothesis, Montgomery established results concerning pair correlation of zeros of the Riemann zeta function. Rudnick and Sarnak extended these results to automorphic \( L \)-functions and all level correlations. We show that automorphic \( L \)-functions exhibit additional geometric structures related to the correlation of their zeros. This is joint work with Alexandru Zaharescu.