Dept Banner
Dept Banner

Calendar

Download as iCal file

Number Theory Seminar

Spectral reciprocity and nonvanishing of central L-values for GL(4) x GL(2)

Stephen D. Miller

Location:  Hill 425
Date & time: Tuesday, 14 November 2017 at 2:00PM - 3:00PM

Abstract: The combination of the Kuznetsov and Voronoi formulas has played a powerful role in analytic estimates of automorphic L-functions for GL(2), for example in the subconvexity problem.  The talk will discuss applications of a new combination of formulas for GL(4), which yields an identity equating sums of GL(4) x GL(2) L-values with other sums of the same type.  As an application, we show that for each self-dual cusp form F on GL(4,Z)GL(4,R) there exists infinitely many Maass forms f such that L(1/2,F x f) is nonzero.  Time permitting, I will explain why techniques used in the proof suggest that the GL(n) x GL(n-2) Converse Theorem of Cogdell & Piatetski-Shapiro is sharp.

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.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530