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Home » GRTA seminar: Moment graphs, Kazhdan-Lusztig polynomials and combinatorics

Seminar

GRTA seminar: Moment graphs, Kazhdan-Lusztig polynomials and combinatorics April 24, 2018 (02:00 PM PDT - 03:00 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Leonardo Patimo (Max-Planck-Institut für Mathematik)
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Abstract/Media

Kazhdan-Lusztig polynomials contain crucial data for the representation theory of reductive groups and the geometry of flag varieties.

In this talk I will review Braden-MacPherson-Fiebig's approach to KL polynomials using moment graphs. This provides an incarnation of the Hecke category where KL polynomials (or their positive characteristic analogue) can be computed using elementary algebra.

I will conclude by using moment graphs to give a purely combinatorial interpretation of the coefficient of q for KL polynomials in Type A.

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