Date | Sep 01, 2023 |
---|---|

Speaker | Brendon Rhoades |

Dept. | University of California, San Diego |

Room | 129-301 |

Time | 13:00-15:00 |

학회 제목: One day workshop on combinatorics related to Hessenberg varieties

연사: Brendon Rhoades (University of California, San Diego)

일시: 9월 1일, 13:00~13:50, 14:00~14:50

제목: The superspace coinvariant ring

초록:

연사: 허지선 (아주대학교)

일시: 9월 1일, 15:00~15:50

제목: Pattern avoidance and smoothness of Hessenberg Schubert varieties

초록:

연사: 이동건 (IBS CCG)

일시: 9월 1일, 16:00~16:50

제목: Geometry of the twin manifolds of regular semisimple Hessenberg varieties and unicellular LLT polynomials

초록: The twin manifold of a regular semisimple Hessenberg variety is a manifold of staircase Hermitian matrices with a given spectrum. One interesting aspect of this manifold is its inherent symmetric group action on its cohomology. In this talk, I will show that certain triples of twin manifolds are related by blowups and smooth fibrations, and establish relations, commonly known as the modular law, between the induced representations on their cohomology. As a corollary, we provide a direct proof of that the Frobenius characteristics of these representations coincide with the associated unicellular LLT polynomials. This talk is based on a joint work with Prof. Young-Hoon Kiem.

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