The first part of this talk will introduce generalized Jordan–Wigner transformation on arbitrary triangulation of any simply connected manifold in 2d, 3d and general dimensions. This gives a duality between...
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The Event Horizon Telescope image of the supermassive black hole in the galaxy M87 is dominated by a bright, unresolved ring. General relativity predicts that embedded within this image lies...
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Organized By: David Jerison, Paul Seidel, Nike Sun (MIT) Denis Auroux, Mark Kisin, Lauren Williams, Horng-Tzer Yau, Shing-Tung Yau (Harvard) Registration Speakers: Svetlana Jitomirskaya (University of California) Subash Khot (NYU)...
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In his landmark paper of 1900 in which he derived his law of blackbody radiation from Boltzmann’s theory of entropy, Planck invoked as evidence inferred values for a series of...
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I will discuss non-perturbative definitions of quantum field theories, some properties of correlation functions of local operators, and give a brief overview of some results and open questions concerning the...
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For Rayleigh-Bénard under geometrical confinement, under rotation or the double diffusive convection with the second scalar component stabilizing the convective flow, they seem to be the three different canonical models...
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Let $s_n(M_n)$ denote the smallest singular value of an $n\times n$ random matrix $M_n$. We will discuss a novel combinatorial approach (in particular, not using either inverse Littlewood--Offord theory or...
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In a recent joint work with Kisin and Shin, we compared the Grothendieck-Lefschetz trace formula for abelian-type Shimura varieties with the stable Arthur-Selberg trace formulas. In this talk I will...
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Will a mosquito survive raindrop collisions? How the bubbles under a ship reduce the drag force? In nature and industry, flows with drops and bubbles exist everywhere. To understand these...
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