Events

UBC Number Theory Seminar

http://www.pims.math.ca/scientific-event/170209-ntsgkft

Speaker: Kam-Fai Tam

Location: University of British Columbia, Room ESB 4127

Part I: Representations of reductive groups over local fields
In this talk, we describe the representations of certain reductive groups over local fields and the representations of Weil groups. Then we review the class field theory for local fields and the Langlands correspondence for these reductive groups. The talk will be a brief overview of the representation theory of reductive groups over local fields, largely based on examples of low-rank groups.

Part II: Endoscopic classification of essentially tame supercuspidal representations for quasi-split classical groups
Continue from the last talk, we specify our reductive group \mathbf{G} to be a quasi-split classical group (special orthogonal, symplectic, unitary) over a p-adic field of odd residual characteristic. We describe the endoscopic classification, proved by Arthur and Mok, of certain supercuspidal representations and their L-packets of \mathbf{G}, under some regularity and tameness conditions. These representations can be described by inducing types constructed by Bushnell-Kutzko, Stevens, or Yu, and they correspond to Langlands parameters related to characters of elliptic maximal tori of \mathbf{G}.
(This work is partly joint with Corinne Blondel.)

Event Date: 
Thursday, February 9, 2017 - 15:30 to 16:30
Event Type: 

Abelian Varieties Seminar

https://www.pims.math.ca/scientific-event/170209-avmsssja

Speaker: Jeffrey Achter

Title: Distinguished models of intermediate Jacobians

Abstract: Consider a smooth projective variety over a number field. The image of the associated (complex) Abel-Jacobi map inside the (transcendental) intermediate Jacobian is a complex abelian variety. We show that this abelian variety admits a distinguished model over the original number field, and use it to address a problem of Mazur on modeling the cohomology of an arbitrary smooth projective variety by that of an abelian variety. (This is joint work with Sebastian Casalaina-Martin and Charles Vial.)

A video of this event is available on mathtube.org (http://www.mathtube.org/lecture/video/distinguished-models-intermediate-...).

Location: Video from Colorado State University

Event Date: 
Thursday, February 9, 2017 - 12:00 to 13:00
Event Type: 

Pages