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GRTA seminar: The ABC of p-Cells February 20, 2018 (03:30 PM PST - 04:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Lars Thorge Jensen (Max-Planck-Institut für Mathematik)
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The Hecke category is a categorification of the Hecke algebra that plays an important role in geometric representation theory. Using this categorification,

I will introduce a positive characteristic analogue of the famous Kazhdan-Lusztig basis of the Hecke algebra, called the p-canonical or p-Kazhdan-Lusztig basis.

If time permits, I will mention connections between

the p-Kazhdan-Lusztig basis and the representation theory of reductive algebraic groups. Motivated by the very rich theory of Kazhdan-Lusztig cells, I study cells with respect to the p-Kazhdan-Lusztig basis. Throughout the talk, I will use SL_2 as a running example. In the

end, I will give a complete description of p-Cells in finite type A and mention some interesting results in finite types B and C.

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