Event time:

Thursday, March 26, 2015 - 12:30pm to Wednesday, March 25, 2015 - 8:00pm

Location:

DL 431

Speaker:

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