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SUMMARY:Julianna Tymoczko (Smith College)
DTSTART:20210217T200000Z
DTEND:20210217T210000Z
DTSTAMP:20260423T024739Z
UID:AG-Davis/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/22/
 ">Comparing different bases of symmetric group representations</a>\nby Jul
 ianna Tymoczko (Smith College) as part of UC Davis algebraic geometry semi
 nar\n\n\nAbstract\nWe describe two different bases for irreducible symmetr
 ic group representations: the tableaux basis from combinatorics (and from 
 the geometry of a class of varieties called Springer fibers)\; and the web
  basis from knot theory (and from the quantum representations of Lie algeb
 ras). We then describe new results comparing the bases\, e.g. showing that
  the change-of-basis matrix is upper-triangular\, and sketch some applicat
 ions to geometry and representation theory. This work is joint with H. Rus
 sell\, as well as with T. Goldwasser and G. Sun.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/22/
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