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SUMMARY:Julianna Tymoczko (Smith College)
DTSTART:20211104T185000Z
DTEND:20211104T195000Z
DTSTAMP:20260423T022934Z
UID:GPRTatNU/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/34/
 ">Comparing different bases for irreducible symmetric group representation
 s</a>\nby Julianna Tymoczko (Smith College) as part of Geometry\, Physics\
 , and Representation Theory Seminar\n\n\nAbstract\nWe describe two differe
 nt bases for irreducible symmetric group representations: the tableaux bas
 is from combinatorics (and from the geometry of a class of varieties calle
 d Springer fibers)\; and the web basis from knot theory (and from the quan
 tum representations of Lie algebras).  We then describe new results compar
 ing the bases\, e.g. showing that the change-of-basis matrix is upper-tria
 ngular\, and sketch some applications to geometry and representation theor
 y.  This work is joint with H. Russell\, as well as with T. Goldwasser and
  G. Sun.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/34/
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