Home /  NGM Research Seminar: The standard L-function for G_2: a "new way" integral.

Seminar

NGM Research Seminar: The standard L-function for G_2: a "new way" integral. September 18, 2014 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Nadezhda Gurevich (Ben Gurion University of the Negev)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

We consider a Rankin-Selberg integral representation of a cuspidal (not necessarily generic) representation of the exceptional group G2. Although the integral unfolds with a non-unique model, it turns out to be Eulerian and represents the standard L-function of degree 7. We discuss a general approach to the integrals with non-unique models. The integral can be used to describe the representations of G2 for which the (twisted)  L-function has a pole as functorial lifts. This is a joint work with Avner Segal.

No Notes/Supplements Uploaded No Video Files Uploaded