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SUMMARY:Chi-Heng Lo (Purdue)
DTSTART:20240312T150000Z
DTEND:20240312T160000Z
DTSTAMP:20260412T205031Z
UID:voganish/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/voganish/7/"
 >An upper bound for wavefront sets of admissible representations of p-adic
  groups</a>\nby Chi-Heng Lo (Purdue) as part of Canadian Rockies Represent
 ation Theory\n\nLecture held in Zoom and MS337.\n\nAbstract\nThe Vogan con
 jecture states that local Arthur packets match ABV-packets for L-parameter
 s of Arthur type. Thus\, it is expected that the properties of local Arthu
 r packets should hold for the corresponding ABV-packets\, and vice versa. 
 In the first part of this talk\, I will recall some basic properties of th
 ese packets\, and state the closure ordering conjecture on local Arthur pa
 cekts and Aubert-Zelevinsky dual conjecture on ABV-packets. In the second 
 part\, I will introduce a new conjecture on upper bounds of wavefront set\
 , Jiang's conjecture on wavefront set for local Arthur packets and for ABV
 -packets. I will show that these three conjectures are all equivalent assu
 ming the two conjectures in the first part hold\, and reduce these conject
 ures to the anti-discrete case. This is a joint work with Alexander Hazelt
 ine\, Baiying Liu and Freydoon Shahidi.\n
LOCATION:https://researchseminars.org/talk/voganish/7/
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