Comparing different bases for irreducible symmetric group representations

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• Julianna Tymoczko (Smith College)
• Thursday 28 January 2021, 15:00-16:00
• http://tinyurl.com/bhamalgsem.

If you have a question about this talk, please contact Lewis Topley.

We describe two different bases for irreducible symmetric 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 algebras). We then describe new results comparing the bases, e.g. showing that the change-of-basis matrix is upper-triangular, and sketch some applications to geometry and representation theory. This work is joint with H. Russell, as well as with T. Goldwasser and G. Sun.

This talk is part of the Algebra seminar series.

This talk is included in these lists:

• Algebra seminar
• School of Mathematics events
• http://tinyurl.com/bhamalgsem

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