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SUMMARY:Classification of Disconnected Reductive Algebraic Groups [MPIM]
DTSTART:20250212T100000Z
DTEND:20250212T110000Z
DTSTAMP:20260421T223500Z
UID:indico-event-231@math-events.uni-bonn.de
DESCRIPTION:Speakers: Dylan Johnston (Warwick)\n\nAlgebra Seminar\nWe say 
 a disconnected algebraic group is reductive if its connected component is 
 a reductive group in the usual sense. Even if one is only interested in co
 nnected reductive groups\, disconnected ones enter the picture as subgroup
 s\, so gaining an understanding of them is a fruitful endeavour. In this t
 alk\, I will discuss the following question: Given a connected reductive a
 lgebraic group N and a finite group H\, which algebraic groups G fit into 
 the short exact sequence 1 --> N --> G --> H --> 1? If time permits\, I wi
 ll also briefly discuss some representation-theoretic results for such gro
 ups\, including a bound on their Knutson Index. This talk is based on the 
 paper ``Disconnected Reductive Groups: Classification and Representations"
  (arXiv 2409.06375)\, which is joint work with Diego Martin Duro and Dmitr
 iy Rumynin.\n \n\nhttps://math-events.uni-bonn.de/event/231/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/231/
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