Past Events
Abstract:
I will be talking about the paper Improved Spin-Wave Estimate for Wilson Loops in U(1) Lattice Gauge Theory by Garban and Sepúlveda. One of their main results shows that lattice Yang-Mills theory with G = U(1) decouples into a "gradient spin wave" and a "…
I will present some joint work with Hannah Markwig and Dhruv Ranganathan, in which we interpret double Hurwitz numbers as intersection numbers of the double ramification cycle with a logarithmic boundary class on the moduli space of curves. This approach removes the "need" for a branch morphism…
Recently there have been significant developments in how we can think about singularities in minimal submanifolds. I will discuss this circle of ideas, in particular how the new planar frequency function of B. Krummel & N. Wickramasekera allows for a more efficient and refined study of…
In the 1970s, Lovász provided a stunning proof of the Kneser conjecture, which stated that a certain family of graphs had large chromatic number. Lovász proved the result by lower-bounding the chromatic number in terms of the (topological) connectivity of an associated topological space, in…
This presentation focuses on the connection between GNNs (Graph Neural Networks) and mathematical optimization. We have recently found that, by defining an LP (Linear Programming) on a specific graph, GNNs can determine the feasibility of the LP problem and solve it with any desired…
Abstract: The conjecture broadly asserts that small data should yield global solutions for 1D defocusing dispersive flows with cubic nonlinearities, in both semilinear and quasilinear settings. The aim of the talk will be to present some very recent results in this direction. This is joint…
Link Floer homology is a filtered version of the Heegaard Floer homology defined for links in 3-manifolds. In this talk, we will introduce an algorithm to compute the link Floer homology of algebraic links from its Alexander polynomials. In particular, we give explicit descriptions of link Floer…
I will discuss recent work with Quanli Shen in which we prove an asymptotic formula for the 4th moment of quadratic Dirichlet L-functions with several lower order main terms. Previously, only the leading order term was known. This result requires GRH, whereas our results are unconditional…
We define an equivariant Lagrangian Floer theory on compact symplectic toric manifolds for the subtorus actions. We prove that the set of Lagrangian torus fibers (with weak bounding cochain data) with non-vanishing equivariant Lagrangian Floer cohomology forms a rigid analytic space. We can…
It has been observed that wide neural networks (NNs) with randomly initialized weights may be well-approximated by Gaussian fields indexed by the input space of the NN, and taking values in the output space. There has been a flurry of recent work making this observation precise, since it sheds…