Lowest zeros of twisted GL(2) L-functions arithmetic matrix ensembles

Algebra and Number Theory Seminar
Event time: 
Thursday, March 26, 2015 - 12:30pm to Wednesday, March 25, 2015 - 8:00pm
DL 431
Owen Barrett
Speaker affiliation: 
Yale University
Event description: 

Random matrix ensembles have been very successful in predicting local spacing statistics of critical zeros of L-functions in the appropriate limit. In 2006, however, S.J. Miller numerically observed a repulsion of the lowest-lying critical zeros of elliptic curve L-functions away from the center of the critical strip that disagreed with the limiting random matrix distribution. In this talk, we will discuss the arithmetic of the lowest-lying zeros of twisted holomorphic GL(2) cusp form L-functions of finite level, and report on the development, joint with S.J. Miller and P. Ryan, of an arithmetic matrix ensemble tuned to more accurately model these L-functions.

Special note: 
Special time and day