I will report on a dynamical way of thinking and tell you a little about my own personal experience as a mathematician. Zoom: https://harvard.zoom.us/j/96759150216
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We apply methods from geometric representation theory toward the mod p Langlands program. More specifically, we explain a mod p version of the geometric Satake isomorphism, which gives a sheaf-theoretic...
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I discuss the fluctuations of individual eigenvalues of the adjacency matrix of the Erdös-Rényi graph $G(N,p)$. I show that if $N^{-1}\ll p \ll N^{-2/3}, then all nontrivial eigenvalues away from...
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We revisit 't Hooft anomalies in (1+1)d non-spin quantum field theory, starting from the consistency and locality conditions, and find that consistent U(1) and gravitational anomalies cannot always be canceled...
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This talk is an invitation to derived methods in algebraic geometry. We will use derived algebraic geometry to give a solution to the problem of descending "bases" (semiorthogonal decompositions) on...
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Discriminating between unknown objects in a given set is a fundamental task in experimental science. Suppose you are given a quantum system which is in one of two given states...
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We study gapped boundaries characterized by “fermionic condensates” in 2+1 d topological order. Mathematically, each of these condensates can be described by a super commutative Frobenius algebra. We systematically obtain...
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Math Table/Open Neighborhood Seminar You've probably seen pictures drawn on the chalkboard of a torus (the surface of a donut) or the Klein bottle, a torus with many holes, and...
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Numerous experiments have explored the phases of the cuprates with increasing doping density p from the antiferromagnetic insulator. There is now strong evidence that the small p region is a...
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We will briefly talk about recent developments on inequalities for infinite dimensional quantum symmetries. Zoom: https://harvard.zoom.us/j/779283357
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