Events

University of Maryland, Lie Groups and Representation Theory Seminar

Speaker: Clifton Cunningham

Title: Arthur packets packets for p-adic groups and vanishing cycles of perverse sheaves

Abstract: This talk will explain how to adapt the approach developed by Adams-Barbasch-Vogan to Arthur packets from Real groups to p-adic groups, and will illustrate this adaptation with several examples. We will also sketch a proof showing that Arthur packets are p-adic ABV packets for unipotent representations of p-adic special orthogonal groups.

Joint with: Bin Xu, Ahmed Moussaoui, Andrew Fiori, James Mracek

https://www-math.umd.edu/research/seminars/lie-groups-and-rep-theory-sem...

Event Date: 
Wednesday, March 29, 2017 -
14:00 to 15:00
Event Type: 

Lifts of Hilbert modular forms and application to a conjecture of Gross

Speaker: Lassina Dembélé, Max Planck Institut für Mathematik

Abstract: In this talk, we discuss the existence of certain lifts of Hilbert modular forms. We then use those lifts to provide theoretical evidence for a conjecture of Dick Gross on the modularity of abelian varieties not of GL_type.
(This is joint work with Clifton Cunningham.)

Location: MS 337 and https://zoom.us/j/344804314

Event Date: 
Thursday, March 9, 2017 -
10:00 to 11:00
Event Type: 
Project: 
Lifts of Hilbert modular forms and application to a conjecture of Gross

PIMS Focus Group on Representations in Arithmetic: Perfectoid spaces

Speaker: Kiran Kedlaya, University of California, San Diego (http://www.kskedlaya.org/)

Topic: Perfectoid spaces

Location: from UBC and on https://bluejeans.com/211681494/browser

More details on joining the lecture: http://www.pims.math.ca/scientific-event/170220-rakk

Notes from Prof. Kedlaya (and also part of the 2017 Arizona Winter School):

- https://cloud.sagemath.com/projects/7da27120-4e06-4340-bbcb-70054d89ac67...
- Supplemented with background from Jared Weinstein's lecture notes: http://swc.math.arizona.edu/aws/2017/2017WeinsteinNotes.pdf

This lecture series is part of the PIMS Focus Group on Representations in Arithmetic.

Event Date: 
Tuesday, February 21, 2017 -
16:00 to 17:15
Event Type: 

PIMS Focus Group on Representations in Arithmetic: Adic Spaces

Speaker: Kiran Kedlaya, University of California, San Diego (http://www.kskedlaya.org/)

Topic: Adic spaces

Location: from UBC and on https://bluejeans.com/211681494/browser

More details on joining the lecture: http://www.pims.math.ca/scientific-event/170220-rakk

Notes from Prof. Kedlaya (and also part of the 2017 Arizona Winter School):

- https://cloud.sagemath.com/projects/7da27120-4e06-4340-bbcb-70054d89ac67...
- Supplemented with background from Jared Weinstein's lecture notes: http://swc.math.arizona.edu/aws/2017/2017WeinsteinNotes.pdf

This lecture series is part of the PIMS Focus Group on Representations in Arithmetic.

Event Date: 
Monday, February 20, 2017 -
14:00 to 15:00
Event Type: 

Voganish Seminar: pure inner forms

Speakers: Ahmed, Bin and Clifton.

Topic: Review Arthur's main local result in the endoscopic classification, adapted to pure inner twists of quasi-split classical p-adic groups (Conjecture 9.4.2 in Arthur's book). Also review Kaletha's notion of rigid inner twists. We need this to state Voganish Conjecture 1, properly.

Location: Bin and Clifton at the University of Calgary, Room MS 337, Ahmed in Paris, and on https://zoom.us/j/525655184

Event Date: 
Thursday, February 16, 2017 -
09:00 to 11:00
Event Type: 

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: 

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