Chengze Duan
My research interest lies in representation theory and algebraic groups. Currently I am very interested in affine Springer fibers and (finite and affine) Weyl groups and some related combinatorics. I also do some calculations using GAP and Atlas.
1. Perfect submonoids of dominant weights, Journal of Algebra 573 (2021), 509-531.
2. Good position braid representatives and transversal slices of unipotent orbits, arXiv:2310.12750.
3. On certain varieties attached to braid representatives of a Weyl group element, arXiv:2312.04798.
4. Partial order on braid elements and on unipotent orbits in reductive groups, in preparation.
1. Perfect submonoids of dominant weights and characterization of reductive monoids, Representation Theory and Number Theory Seminar at National University of Singapore, Nov 12, 2020.
2. Vinberg monoid and classification of reductive algebraic monoids, Algebra Seminar at East China Normal University, Mar 9, 2022.
3. Good position braid representatives for non-elliptic conjugacy classes in the Weyl group, Representation Theory and Number Theory Seminar at Chinese University of Hong Kong, Jan 26, 2023.
4. Braid monoids and transversal slices of unipotent classes, Special session on Representation theory and flag varieties at the AMS Sectional Meeting, Sept 10, 2023.
5. Good position braids and transversal slices, Lie Group Seminar at MIT, Oct 25, 2023.
6. Good position braids, transversal slices and affine Springer fibers, Geometric Representation Theory Seminar at YMSC, Tsinghua University, Dec 1, 2023.
7. Good position braids, transversal slices and some applications, Representation Theory Seminar at Chinese Academy of Science, Dec 20, 2023.
8. TBA, Algebra Seminar at SUNY-Buffalo, Mar 11, 2024.
9. parabolic Lusztig varieties and Deligne-Lusztig varieties attached to some braid elements, Special Session on Geometric Methods in Representation Theory at the AMS Sectional Meeting, Apr 20, 2024.
10. Good position braids to affine Springer fibers, Special Session on Groups and Representations at the AMS Spring Western Sectional Meeting, May 5, 2024.
1. WARTHOG 2023 on Categorified Coulomb branches