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Schubert, Hessenberg and Lusztig

  • Date : 2023/03/23 (Thu.) 15:30~16:30
  • Location : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
  • Speaker : Young-Hoon Kiem (Korea Institute for Advanced Study)
There are many interesting subvarieties of the (partial) flag varieties including Schubert, Hessenberg and Lusztig varieties, which play important roles in representation theory and combinatorics. I will talk about an elementary geometric proof of the Shareshian-Wachs conjecture and its generalization which relate the cohomology of Hessenberg varieties with chromatic quasi-symmetric functions. Based on a joint work with Donggun Lee.