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SUMMARY:The canonical dimension: using the Bruhat-Tits building to investi
 gate the wavefront set [Arithmetic Geometry and Representation Theory Rese
 arch Seminar]
DTSTART:20251205T130500Z
DTEND:20251205T150000Z
DTSTAMP:20260317T054200Z
UID:indico-event-783@math-events.uni-bonn.de
DESCRIPTION:Speakers: Mick Gielen (University of Oxford)\n\nAn important i
 nvariant in the complex representation theory of reductive p-adic groups i
 s the wavefront set\, because it contains information about the character 
 of such a representation. In my talk I will introduce a new invariant call
 ed the canonical dimension\, which can be said to measure the size of a re
 presentation and which has a close relation to the wavefront set. I will t
 hen state some results I have obtained about the canonical dimensions of c
 ompactly induced representations and show how they teach us something new 
 about the wavefront set. In the second part of my talk I sketch the proof 
 of these results\, which crucially uses the geometry of the Bruhat-Tits bu
 ilding. This illustrates a completely new approach to studying the wavefro
 nt set.\n \n\nhttps://math-events.uni-bonn.de/event/783/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/783/
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