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| blog:2022-11-07 [2022/11/08 06:24] – pzhou | blog:2022-11-07 [2023/06/25 15:53] (current) – external edit 127.0.0.1 |
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| * Can we do elliptic version? Andrei says try the analogy of using theta function / section, instead of $e^{-W}$, and try the contour /summation formula for producing qKZ equation. [[https://projecteuclid.org/ebooks/mathematical-society-of-japan-memoirs/Lectures-on-Knizhnik-Zamolodchikov-equations-and-Hecke-algebras/chapter/Lectures-on-Knizhnik-Zamolodchikov-equations-and-Hecke-algebras/10.2969/msjmemoirs/00101C010 | lecture on KZ by Cherednik]] | * Can we do elliptic version? Andrei says try the analogy of using theta function / section, instead of $e^{-W}$, and try the contour /summation formula for producing qKZ equation. [[https://projecteuclid.org/ebooks/mathematical-society-of-japan-memoirs/Lectures-on-Knizhnik-Zamolodchikov-equations-and-Hecke-algebras/chapter/Lectures-on-Knizhnik-Zamolodchikov-equations-and-Hecke-algebras/10.2969/msjmemoirs/00101C010 | lecture on KZ by Cherednik]] |
| * Can we go beyond localized K-theory? One potential trouble is convergence, for example if we try to do character of $\C[t,t^{-1}]$, we possibly have infinite contributions. And can we specialize to non-generic monodromy? Would be interesting to work out an example and see the whole picture. I hope this is not as delicate as the Bernstein-Sato polynomial. | * Can we go beyond localized K-theory? One potential trouble is convergence, for example if we try to do character of $\C[t,t^{-1}]$, we possibly have infinite contributions. And can we specialize to non-generic monodromy? Would be interesting to work out an example and see the whole picture. I hope this is not as delicate as the Bernstein-Sato polynomial. |
| * 2-category, 2-representation, elliptic cohomology, Kapranov. | * 2-category, 2-representation, elliptic cohomology, [[https://arxiv.org/abs/math/0602510 | Ganter-Kapranov]]. |
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