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Jun 20, 2024

Atoms and charge beyond type A

Algebraic Geometry and Number Theory Seminar

Date: June 20, 2024 | 1:00 pm – 2:30 pm
Speaker: Jacinta Perez Gavilan Torres, Jagiellonian University, Krakow
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language: English

Kostka-Foulkes polynomials are q-analogues of weight multiplicities for irreducible representations of semi-simple finite-dimensional complex Lie algebras. They appear in various contexts in representation theory; in particular they are affine Kazdhan-Lusztig polynomials and therefore have positive coefficients. In type A, that is, for the special linear Lie algebra, a positive combinatorial formula has been known since 1978. However, in general, the problem is still wide open. I will give a historical introduction to the problem of finding a positive combinatorial formula for Kostka-Foulkes polynomials beyond type A. Then I will present some joint results with Leonardo Patimo in this direction – in particular such a formula for type B2/C2.

More Information:

Date:
June 20, 2024
1:00 pm – 2:30 pm

Speaker:
Jacinta Perez Gavilan Torres, Jagiellonian University, Krakow

Location:
Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)

Language:
English

Contact:

Oosthuizen-Noczil Birgit

Email:
boosthui@ist.ac.at

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