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5/25/26, 9:15 AM
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5/25/26, 10:00 AM
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5/25/26, 11:15 AM
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5/25/26, 2:00 PM
I will describe results for the macroscopic asymptotics in random lozenge tilings in a large class of two-dimensional domains, in particular identifying Gaussian free field fluctuations for the height field. The results rely on an analysis on a discrete Coulomb gas extending the one known for invariant ensembles of random matrices.
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This is based on the joint work... -
5/25/26, 2:45 PM
After reviewing the Plancherel measure on partitions and its relevance in combinatorics and (asymptotic) representation theory, I will introduce a class of multiplicative statistics of Poissonized Plancherel random partitions. Their study is motivated by connections to integrable systems (Toda equations) and to important stochastic growth models (polynuclear growth models).
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In particular,... -
5/25/26, 4:00 PM
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5/26/26, 10:00 AM
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5/26/26, 10:10 AM
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5/26/26, 10:20 AM
opological recursion (TR) is a universal procedure that helps connect diverse areas of mathematics and physics. Starting from a spectral curve—a Riemann surface equipped with additional data—it produces a family of differentials that often encode enumerative invariants, such as volumes of moduli spaces, matrix model correlators, and intersection numbers. After a brief introduction, we explore...
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5/26/26, 11:20 AM
The Strominger-Yau-Zaslow conjecture asks for a special Lagrangian fibration on the generic region of a Calabi-Yau manifold close to the large complex structure limit. I will give a survey talk for the recent progress on this question.
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