Random Matrices and L-functions

Random Matrices and L-functions - Alex Kontorovich

Alex Kontorovich
Yale University; Member, School of Mathematics
October 28, 2013

We will review some interactions between random matrix theory and distributions of zeroes of L-functions in families (the Katz-Sarnak philosophy) before presenting some recent results (joint with Dorian Goldfeld) in the higher rank setting. We will assume no background on either subject.