seminars:comb:start
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seminars:comb:start [2025/08/23 23:29] zaslav [FALL 2025] |
seminars:comb:start [2025/10/30 00:28] (current) zaslav [FALL 2025] |
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| ===== FALL 2025 ===== | ===== FALL 2025 ===== | ||
| - | Anticipated speakers: Daniel Slilaty (Wright State), Lee Kennard (Syracuse), Marwa Mosallam (Binghamton), Margaret Readdy (Kentucky), Richard Ehrenborg (Kentucky), Rigoberto Florez (The Citadel), Ernesto Estrada (Campus Universitat Illes Balears), Aida Abaid (Amsterdam) | + | Anticipated speakers: Daniel Slilaty (Wright State), Margaret Readdy (Kentucky), Richard Ehrenborg (Kentucky), Rigoberto Florez (The Citadel), Ernesto Estrada (Campus Universitat Illes Balears), Aida Abaid (Amsterdam) |
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| **Tuesday, 8/26**\\ | **Tuesday, 8/26**\\ | ||
| - | Speaker: Quaid Iqbal, Michael Dobbins, Laura Anderson, Alireza Salahshoori (Binghamton)\\ | + | Speaker: Quaid Iqbal, Michael Dobbins, Marwa Mosallam, Alireza Salahshoori (Binghamton)\\ |
| Title: What We Do: An Introduction\\ | Title: What We Do: An Introduction\\ | ||
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
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| **Tuesday, 9/9**\\ | **Tuesday, 9/9**\\ | ||
| Speaker: Xiyong Yan (Binghamton)\\ | Speaker: Xiyong Yan (Binghamton)\\ | ||
| - | Title: \\ | + | Title: Double Signs of Hamiltonian Circles in Doubly Signed Complete Graphs\\ |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
| + | |||
| + | We study Hamiltonian circles in the doubly signed complete graph | ||
| + | \(\Sigma_n = (K_n, \sigma, \mathbb{F}_2^2)\). A circle’s double sign is defined as the sum of its edge labels. I establish conditions under which Hamiltonian circles realize all four possible double signs and prove that this occurs when the set of triangle double signs contains at least three distinct values. The proof is based on an analysis of triangle bases of the binary cycle space, structural properties of $K_4$ subgraphs, and explicit Hamiltonian constructions. | ||
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| **Tuesday, 9/16**\\ | **Tuesday, 9/16**\\ | ||
| - | Speaker: Tan Tran (Binghamton)\\ | + | Speaker: Jaiung Jun (New Paltz)\\ |
| - | Title: \\ | + | Title: Tropical Subrepresentions and Matroids \\ |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
| + | In their recent paper, Giansiracusa and Manaker introduced a notion of tropical subrepresentations of linear representations by considering group actions on tropical linear spaces. In particular, this framework naturally brings matroids into the picture. I will present several elementary results on tropical subrepresentations. | ||
| + | |||
| + | This is joint work with Kalina Mincheva and Jeffrey Tolliver. | ||
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| **Tuesday, 9/30**\\ | **Tuesday, 9/30**\\ | ||
| Speaker: Alireza Salahshoori (Binghamton)\\ | Speaker: Alireza Salahshoori (Binghamton)\\ | ||
| - | Title: \\ | + | Title: Circle Gain Systems\\ |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
| + | A “circle gain system” is a labeling of all oriented rooted circles in the graph $\Gamma$ with elements from the group $\mathcal{G}$. In this talk, we will see the necessary and sufficient conditions for a circle gain system to be realizable by a gain graph. | ||
| <HTML></li></HTML> | <HTML></li></HTML> | ||
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| **Tuesday, 10/7**\\ | **Tuesday, 10/7**\\ | ||
| - | Speaker: \\ | + | There will be no seminar today. \\ |
| - | Title: \\ | + | |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
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| - | **Tuesday, 10/14**\\ | + | **Tuesday, 10/14** (jointly with the Geometry/Topology Seminar)\\ |
| - | Speaker: \\ | + | Speaker: Lee Kennard (Syracuse)\\ |
| - | Title: \\ | + | Title: Regular Matroids and Torus Representations\\ |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
| + | Recent work with Michael Wiemeler and Burkhard Wilking presents a link between arbitrary finite graphs and torus representations all of whose isotropy groups are connected. The link is via combinatorial objects called regular matroids, which were classified in 1980 by Paul Seymour. We then apply Seymour’s deep result to classify and to compute geometric invariants of this class of torus representations. | ||
| + | |||
| + | The applications to geometry are significant. A highlight of our analysis of these representations is the first proof of Hopf’s 1930s Euler Characteristic Positivity Conjecture for metrics invariant under a torus action where the torus rank is independent of the manifold dimension. | ||
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| **Tuesday, 10/21**\\ | **Tuesday, 10/21**\\ | ||
| - | Speaker: \\ | + | No seminar today. \\ |
| - | Title: \\ | + | |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
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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: \\ | + | Speaker: Brendon Rhoades (U.C. San Diego)\\ |
| - | Title: \\ | + | Title: Matrix Loci and Shadow Play\\ |
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
| Location: WH 100E\\ | Location: WH 100E\\ | ||
| + | |||
| + | 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. | ||
| + | |||
| + | I will give some related results and open problems. | ||
| + | |||
| + | Joint with Jasper Liu, Yichen Ma, Jaeseong Oh, and Hai Zhu. | ||
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| **Tuesday, 11/11**\\ | **Tuesday, 11/11**\\ | ||
| - | Speaker: \\ | + | Speaker: Tan Tran (Binghamton)\\ |
| Title: \\ | Title: \\ | ||
| Time: 1:30-2:30\\ | Time: 1:30-2:30\\ | ||
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| ===== SPRING 2025 ===== | ===== SPRING 2025 ===== | ||
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| - | Anticipated speakers: Daniel Slilaty (Wright State), Lee Kennard (Syracuse) (fall), Marwa Mosallam (Binghamton) | ||
| <HTML><li></HTML>**Tuesday, 1/21**\\ | <HTML><li></HTML>**Tuesday, 1/21**\\ | ||
seminars/comb/start.1756006140.txt · Last modified: 2025/08/23 23:29 by zaslav