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DTSTART;TZID=America/New_York:20240315T114500
DTEND;TZID=America/New_York:20240315T124500
DTSTAMP:20260512T091526
CREATED:20240229T143430Z
LAST-MODIFIED:20240312T141746Z
UID:10002885-1710503100-1710506700@cmsa.fas.harvard.edu
SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Baiying Liu (Purdue) \nTitle: Recent progress on certain problems related to local Arthur packets of classical groups \nAbstract: In this talk\, I will introduce recent progress on certain problems related to local Arthur packets of classical groups. First\, I will introduce a joint work with Freydoon Shahidi towards Jiang’s conjecture on the wave front sets of representations in local Arthur packets of classical groups\, which is a natural generalization of Shahidi’s conjecture\, confirming the relation between the structure of wave front sets and the local Arthur parameters. Then\, I will introduce a joint work with Alexander Hazeltine and Chi-Heng Lo on the intersection problem of local Arthur packets for symplectic and split odd special orthogonal groups\, with applications to the Enhanced Shahidi’s conjecture\, the closure relation conjecture\, and the conjectures of Clozel on unramified representations and on unramified components of automorphic representations. This intersection problem also has been worked out independently at the same time by Hiraku Atobe. In a recent joint work with Alexander Hazeltine\, Chi-Heng Lo\, and Freydoon Shahidi\, we made an upper bound conjecture on wavefront sets of admissible representations of connected reductive groups. In the last part of my talk\, I will introduce our recent progress towards this conjecture.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-31524/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
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DTSTART;TZID=America/New_York:20240315T141500
DTEND;TZID=America/New_York:20240315T153000
DTSTAMP:20260512T091526
CREATED:20240313T152145Z
LAST-MODIFIED:20240318T143634Z
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SUMMARY:AQFT Lecture Series
DESCRIPTION:AQFT Lecture Series \nSpeaker: Tasho Kaletha (University of Michigan) \nTitle: Covers of reductive groups and functoriality \nAbstract: When studying problems arising from Langlands’ functoriality principle\, one often encounters groups that are extensions of complex reductive groups by Galois groups\, but that do not necessarily satisfy all properties to be L-groups of reductive groups. We will show\, in the case of a local base field F\, that such group can be understood as L-groups of covers of reductive groups. This generalizes to the case of arbitrary local fields work of Adams–Vogan for real groups. These covers\, for a fixed connected reductive group G\, can be understood either as arising from a certain “universal” cover of the topological group G(F) by a certain “fundamental” group \tilde\pi_1(G). We will present two concrete applications of this\, one that gives a characterization of the local Langlands correspondence for supercuspidal L-parameters when p is sufficiently large\, and one to the construction of transfer factors in the theory of endoscopy.
URL:https://cmsa.fas.harvard.edu/event/aqft-lecture-series-31524-2/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:AQFT Lecture Series,Colloquia & Seminar
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