Algebra seminar - Alice Dell'Arciprete
| Dates: | 24 September 2024 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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| Speaker: | Alice Dell'Arciprete |
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Title: Quiver presentations for Hecke categories and KLR algebras
Abstract: We discuss the algebraic structure of KLR algebras by way of the diagrammatic Hecke categories of maximal parabolics of finite symmetric groups. Combinatorics (in the shape of Dyck tableaux) plays a huge role in understanding the structure of these algebras. Instead of looking only at the sets of Dyck tableaux (which enumerate the p-Kazhdan-Lusztig polynomials) we look at the relationships for passing between these Dyck tableaux. In fact, this “meta-Kazhdan-Lusztig combinatorics” is sufficiently rich as to completely determine the complete Ext-quiver and relations of these algebras.
Speaker
Alice Dell'Arciprete
Organisation: University of York
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
