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SUMMARY:Alexander Hazeltine (Purdue University)
DTSTART:20220920T210000Z
DTEND:20220920T220000Z
DTSTAMP:20260423T024754Z
UID:UAANTS/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/46/">
 Intersections of local Arthur packets for classical groups</a>\nby Alexand
 er Hazeltine (Purdue University) as part of University of Arizona Algebra 
 and Number Theory Seminar\n\n\nAbstract\nRecently\, Atobe gave a refinemen
 t of Moeglin's construction of local Arthur packets for symplectic and spl
 it odd special orthogonal groups. In joint work with Baiying Liu and Chi-H
 eng Lo\, using Atobe's refinement\, we define certain operators which dete
 rmine when two local Arthur packets intersect. From these operators\, we c
 an define an ordering on the set of all local Arthur packets containing a 
 fixed representation for which there is a unique maximal and minimal eleme
 nt. In this talk\, we will discuss Atobe's construction\, introduce the op
 erators\, define the unique maximal and minimal element\, and discuss how 
 these elements behave with respect to other orderings.\n
LOCATION:https://researchseminars.org/talk/UAANTS/46/
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