Determining the complexity of Kazhdan-Lusztig varieties
Laura Escobar (Washington University in St. Louis)
Abstract: Kazhdan-Lusztig varieties are defined by ideals generated by certain minors of a matrix, which are chosen by a combinatorial rule. These varieties are of interest in commutative algebra and Schubert varieties. Each Kazhdan-Lusztig variety has a natural torus action from which one can construct a cone. The complexity of this torus action can be computed from the dimension of the cone and, in some sense, indicates how close the variety is to the toric variety of the cone. In joint work with Maria Donten-Bury and Irem Portakal we address the problem of classifying which Kazhdan-Lusztig varieties have a given complexity. We do so by utilizing the rich combinatorics of Kazhdan-Lusztig varieties.
algebraic geometrynumber theory
Audience: researchers in the topic
Series comments: Description: Research/departmental seminar
Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.
Organizers: | Katrina Honigs*, Nils Bruin* |
*contact for this listing |