The Number Theory and Algebraic Geometry seminar meets on Mondays at 14:00 at room 70 in the Ross Building.

2019
Dec
30

# NT Seminar - Shai Evra

2:30pm to 3:30pm

## Location:

Ross 70

Title: Ramanujan Conjectures, Density Hypotheses and Applications for Arithmetic Groups.

Abstract: The Generalized Ramanujan Conjecture (GRC) for GL(n) is a central open problem in modern number theory. Its resolution is known to yield applications in many fields, such as: Diophantine approximation and arithmetic groups. For instance, Deligne's proof of the Ramanujan-Petersson conjecture for GL(2) was a key ingredient in the work of Lubotzky, Phillips and Sarnak on Ramanujan graphs.