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
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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 Project: Lifts of Hilbert modular forms and application to a conjecture of Gross
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Event Date: Thursday, March 2, 2017 - 10:00 to 12:00
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Event Date: Tuesday, February 21, 2017 - 16:00 to 17:15
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Event Date: Monday, February 20, 2017 - 14:00 to 15:00
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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
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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
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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
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James and Ahmed: inertial classes and the Bernstein decomposition from the Voganish perspective.
Location: James at the University of Toronto, Ahmed in Paris, and on https://zoom.us/j/344804314
Event Date: Thursday, February 9, 2017 - 09:00 to 11:00
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Event Date: Sunday, October 18, 2015 - 17:00 to Friday, October 23, 2015 - 12:00
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