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SUMMARY:David Vogan (MIT)
DTSTART:20220331T143000Z
DTEND:20220331T160000Z
DTSTAMP:20260422T150530Z
UID:atlas/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/atlas/11/">G
 elfand-Kirillov dimension and atlas</a>\nby David Vogan (MIT) as part of R
 eal reductive groups/atlas\n\n\nAbstract\nLinear algebra wants to be about
  diagonal matrices. Nilpotent matrices control exactly how this desire mus
 t be frustrated\, and what is actually true instead. In a precisely parall
 el way\, the theory of reductive groups wants to be about maximal tori. Ni
 lpotent classes (for example in the Lie algebra) control how this desire m
 ust be frustrated\, and what is actually true instead. The talk will conce
 rn what atlas knows about nilpotent Lie algebra elements\, with perhaps so
 me small hints about what this information does for representation theory.
 \n\nSeminar was actually all about Gelfand-Kirillov dimension: the reason 
 is that this is a really elementary and interesting invariant that you can
  only hope to compute using nilpotent orbits.\n
LOCATION:https://researchseminars.org/talk/atlas/11/
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