OSU Mathematics Seminars and Colloquia
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Wed, Apr 17, 2024
Lie Groups Seminar
3:30 PM
Virtual
Geometric analogues of local Arthur packets for p-adic $GL_n$
Mishty Ray, University of Calgary
Host: Melissa Emory
Zoom information is in the abstract
[Abstract] [PDF]
Abstract: Local Arthur packets are sets of representations of p-adic groups that help us realize important classes of automorphic forms. They have geometric analogues, called ABV-packets. This was first proposed for p-adic groups by David Vogan following his joint work with Adams and Barbasch for real groups. This theory was then adapted by Cunningham et al. for the non-archimedean case. They defined ABV-packets and formulated the conjecture that ABV-packets generalize local Arthur packets. They called it “Vogan’s conjecture” to honour the work that led to it, in addition to providing a wealth of examples as evidence. In this talk, I will introduce ABV-packets and present a proof of Vogan’s conjecture for p-adic $GL_n$ .

Zoom link: https://okstate-edu.zoom.us/j/96612880265?pwd=OHJOaSsxUmNlbUVlR3ZUZHFHV3BPUT09

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