Seminars & Colloquia Calendar

Download as iCal file

Number Theory Seminar

Eisenstein Series and the Cubic Moment for PGL(2)

Paul Nelson (ETH Zurich/IAS)

Location:  Hill 425
Date & time: Tuesday, 04 February 2020 at 2:00PM - 3:00PM

Abstract: We will discuss how to study the cubic moment of any family of automorphic L-functions on PGL(2) using regularized diagonal periods of Eisenstein series, following a strategy suggested by Michel--Venkatesh. Applications include generalizations to the setting of number fields of some results of Conrey--Iwaniec and Petrow--Young, improved estimates for representation numbers of ternary quadratic forms over number fields, and improvements to the prime geodesic theorem on arithmetic hyperbolic 3-folds.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.