Hyperbolic Laplacian and Number Theory

Date: 
Thursday, November 14, 2013 - 3:30pm
Location: 
MSB111
Speaker: 
Freydoon Shahidi (Purdue University)

We discuss some consequences of bounds obtained on eigenvalues of hyperbolic Laplacian on hyperbolic Riemann surfaces to number theory. These bounds are obtained through transfers of Maass forms to higher symmetric spaces using the theory of L-functions. Time permitting, we may discuss some cases of global reciprocity between Galois representations and automorphic forms.

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