Past Events
We study $k$-tilings ($k$-tuples of domino tilings) of the Aztec diamond of rank $m$. We assign a weight to each $k$-tiling, depending on the number of vertical dominos and also on the number of ``interactions"…
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Let S be a Shimura variety. The Andre-Oort conjecture posits that the Zariski closure of special points must be a sub Shimura subvariety of S. The Andre-Oort conjecture for A_g (the moduli space of principally polarized Abelian varieties) — and therefore its sub Shimura varieties — was proved by…
Abstract: Let's say you order some snacks from Amazon. To do this, you need to give Amazon your credit card number. This information is sent on a public channel, which means that it's accessible to outside eavesdroppers. Naturally you don't want a hacker using your card to…
Abstract: I will explain how the sine-Gordon equation (a completely integrable PDE) can be used to determine the values of the "length spectrum" on the 2-sphere (a non-linear version of the eigenvalues of the Laplacian). This is joint work with Christos Mantoulidis.
The synchronous discussion for Enrica Mazzon’s talk is taking place not in zoom-chat, but at https://tinyurl.com/2022-02-18-em…
Abstract: We discuss practical methods for computing the space of solutions to an arbitrary homogeneous linear system of partial differential equations with constant coefficients. These rest on the Fundamental Principle of Ehrenpreis–Palamodov from the 1960s. We develop this…
Consider a large random permutation satisfying some constraints or biased according to some statistics. What does it look like? In this seminar we make sense of this question introducing the notion of permuton. Permuton convergence has been established for several models of random…
Typical comparison results in Riemannian geometry, such as for volume or for spectrum of the Laplacian, require Ricci curvature lower bounds. In dimension three, we can prove some sharp comparison estimates assuming only a scalar curvature bound. The talk will present these results, their…