Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Chen Wan, Institute for Advanced Study, Princeton
Inviter:
Title:
The local and global problems for the Ginzburg-Rallis model
Time & Venue:
2018.7.13 14:00-16:00 N109
Abstract:
I will discuss the local multiplicity and the global period integral for the Ginzburg-Rallis model. Locally, by proving a local trace formula for the model, I prove a multiplicity formula for all the tempered representations, which implies that the summation of the multiplicities for the Ginzburg-Rallis model is always equal to 1 over every tempered local Vogan L-packet. Globally, by studying a G_2-period of a Fourier coefficient of an Eisenstein series of E_6, we can show that if the period integral of the Ginzburg-Rallis model is nonzero, then the exterior cube automorphic L-function is nonzero at 1/2. The global result is a joint work with Aaron Pollack and Michal Zydor.