Microlocal packets for G_2

Abstract: The first half of the talk will focus on the [ABV] microlocal packets for G2(R) when the infinitesimal character is either regular dominant or [1, 0]. I will give a brief review of definitions and techniques used to explicitly find those packets. In the second half of the talk I will relate our computations to the work of others. In particular, I will compare the G2(R) microlocal packets at [1, 0] to the Arthur packets of Cunningham-Fiori-Zhang. I will also relate our work to computations done by Andr´as Lorincz.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Canadian Rockies Representation Theory

Series comments: Topics include, but are not limited to, geometric and categorical aspects of the Langlands Programme. Please write to Jose Cruz for zoom instructions.