Bridgeland stability conditions were originally motivated by the concept of Pi stability in theoretical physics, as introduced in work of M. Douglas. Pi stability is an attempt to describe BPS...
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**Note unusual day and time** I will explain an approach via "an adaptive Mermin-Wagner style shift" which proves localization of N x N Gaussian random band matrices with band width...
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In this talk we will derive various bounds on the 0-form and the 1-form abelian gauge sectors of gravitational effective theories in 6 dimensions with minimal supersymmetry. We will start...
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As 7-manifolds with special holonomy, examples of compact G2-manifolds were first constructed by Joyce as resolutions of flat G2-orbifolds. Later Walpuski constructed non-trivial G2-instantons over Joyce’s manifolds via gluing techniques. In this...
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The exploration of topologically-ordered states of matter is a long-standing goal at the interface of several subfields of the physical sciences. Such states feature intriguing physical properties such as long-range...
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Current Developments in Mathematics 2023 April 7-8, 2023 Harvard University Science Center Lecture Hall C Speakers: Amol Aggarwal - Columbia University (Columbia) Bhargav Bhatt - Institute for Advanced Study, Princeton...
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I will discuss recent works on the relativistic Euler equations with dynamic vorticity and entropy. We use a new formulation of the equations, which has geo-analytic structures. In this geometric...
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I will prove that certain "motivic abelian groups" are motivic infinite loop spaces.
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I will connect the following questions and answers. 1. 42 = (12602123297335631)^3 + (80435758145817515)^3 + (-80538738812075974)^3. 2. https://people.math.harvard.edu/~alpoge/fun/fruit%20for%20thought.jpeg , aka: Are there positive integers x, y, z such that: x / (y...
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We will discuss enumerative and structural properties of two families of standard Young tableaux, the realizable rectangular tableaux and the realizable staircase tableaux. The realizable rectangular tableaux come from tropical...
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