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UID:cc1838ef9087a85b857b65ff3c635b16
CATEGORIES:Algebra Seminar
CREATED:20260323T182113
SUMMARY:Relative weights and relative Weyl groups
LOCATION:Hill 705
DESCRIPTION:Weights are important objects in modular representation theory of finite gr
 oups and encode fundamental information. More generally, the notion of a re
 lative weight, introduced by Robinson, can be used to state important conje
 ctures in the field. In this talk, I will recall the definition of a relati
 ve weight and introduce some of the problems related to these objects. I wi
 ll then focus on the specific case of a finite reductive group and show how
  these problems can be studied by using information coming from relative We
 yl groups. In order to achieve this task, I will first introduce and descri
 be some of the fundamental objects and results underlying Deligne-Lusztig t
 heory.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Weights are important objects in modular representation theory of finite
  groups and encode fundamental information. More generally, the notion of a
 &nbsp;relative&nbsp;weight, introduced by Robinson, can be used to state im
 portant conjectures in the field. In this talk, I will recall the definitio
 n of a&nbsp;relative&nbsp;weight and introduce some of the problems related
  to these objects. I will then focus on the specific case of a finite reduc
 tive group and show how these problems can be studied by using information 
 coming from&nbsp;relative&nbsp;Weyl&nbsp;groups. In order to achieve this t
 ask, I will first introduce and describe some of the fundamental objects an
 d results underlying Deligne-Lusztig theory.</p>
CONTACT:Damiano Rossi - Rutgers University
DTSTAMP:20260826T234232
DTSTART;TZID=America/New_York:20260325T140000
DTEND;TZID=America/New_York:20260325T150000
SEQUENCE:0
TRANSP:OPAQUE
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