Seminar POSTPONED due to weather. Apologies for any inconveniences. Rescheduled date: February 27th, 3:00-4:00. See website for more details. A recent achievement in K-stability of Fano varieties is an algebro-geometric...
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We present the first result for the characteristic initial value problem of the compressible Euler equations in three space dimensions without any symmetry assumption. We allow presence of vorticity and...
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This seminar has been POSTPONED. Apologies for any inconveniences. Rescheduled date TBD. Recently, there has been much progress in understanding stationary measures for colored (also called multi-species or multi-type) interacting...
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Over the last last thirty years we have experienced more than a billion-fold increase in hardware capabilities and a dizzying pace of acquiring and transmitting massive amounts of data. Scientific...
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In this talk, I will report my two recent results at the intersection of quantum information and strongly interacting phases of matters. In the first half of the talk, we...
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The perturbed Alexander invariant, defined by Bar-Natan and van der Veen, is an infinite family of polynomial invariants of knots in the three-sphere. The first polynomial, rho_1, is quick to...
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We will look at two ways we can use tools from machine learning to help us with research in combinatorics. First we discuss reinforcement learning, a method that gives us...
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Modern data science often requires one to consider "nonlinear random matrices," a broad term for random-matrix models whose construction involves a nonlinear function applied entrywise. Such models are typically far...
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This semester we will go through the work of Burklund, Hahn, Levy and Schlank on the construction of counterexamples to the telescope conjecture.
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The moduli space M_g of genus g stable curves is perhaps the most studied of all algebraic varieties. Its higher-dimensional generalization is the moduli functor M_{n,v} of n-dimension stable varieties...
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