BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:MIT Lie Groups Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260617T202059Z
UID:tag:localist.com\,2008:EventInstance_42235795415271
DTSTART:20230301T210000Z
DTEND:20230301T230000Z
DESCRIPTION:Speaker:  Elad Zelingher (University of Michigan) \n\nTitle:  O
 n gamma factors and Bessel functions of finite general linear groups\n\nAb
 stract:  In the representation theory of p-adic groups\, one way to study 
 irreducible representations is by attaching local factors to them. These l
 ocal  factors are complex valued functions of a complex variable\, and the
 y often encode properties of the representations in question. In this talk
 \, I will explain an analog of these local factors for irreducible generic
  representations of GL(n\, F_q). I will talk about two families of gamma f
 actors for the tensor product representation (based on constructions by Ja
 cquet--Piatetski-Shapiro--Shalika and Shahidi) and about the Bessel functi
 on of a generic representation (defined by Gelfand--Graev). I will give a 
 conceptual quantitative interpretation for the absolute value of these gam
 ma factors. I will also explain a relation between the Bessel function and
  Kloosterman sums and sheaves. This talk is based on my two recent preprin
 ts\, where the most recent one is a joint work with David Soudry.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-142
SUMMARY:MIT Lie Groups Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/mit_lie_groups_seminar_8291
CATEGORIES:Conferences/Seminars/Lectures
END:VEVENT
END:VCALENDAR