seminars:comb:start
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seminars:comb:start [2025/10/26 14:42] zaslav [FALL 2025] |
seminars:comb:start [2025/10/30 00:28] (current) zaslav [FALL 2025] |
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| **Tuesday, 10/28**\\ | **Tuesday, 10/28**\\ | ||
| - | Speaker: \\ | + | The seminar takes a holiday today.\\ |
| - | Title: \\ | + | |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
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| **Tuesday, 11/4**\\ | **Tuesday, 11/4**\\ | ||
| Speaker: Brendon Rhoades (U.C. San Diego)\\ | Speaker: Brendon Rhoades (U.C. San Diego)\\ | ||
| - | Title: TBA\\ | + | Title: Matrix Loci and Shadow Play\\ |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
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| + | Let lis$(w)$ be the length of the longest increasing subsequence of a permutation $w$ in $S_n$. I describe a graded quotient $R_n$ of the polynomial ring over an $n$-by-$n$ matrix of variables whose Hilbert series is the generating function of lis, up to reversal. The Gröbner theory of $R_n$ is governed by the Viennot shadow avatar of the Schensted correspondence. The ring $R_n$ is constructed via the orbit harmonics technique of deformation theory. | ||
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| + | I will give some related results and open problems. | ||
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| + | Joint with Jasper Liu, Yichen Ma, Jaeseong Oh, and Hai Zhu. | ||
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seminars/comb/start.1761504149.txt · Last modified: 2025/10/26 14:42 by zaslav