NUMBER THEORY
September 16, 2020 3:00 pmThe Langlands program is a far-reaching collection of conjectures that relate different areas of mathematics including number theory and representation theory. A fundamental problem on the representation theory side of...
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CMSA EVENTS
September 16, 2020 10:30 amI'll review the basic construction of Randall-Sundrum braneworlds and some of their applications to formal problems in quantum field theory. I will highlight some recent results regarding scenarios with mismatched...
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CMSA EVENTS
September 15, 2020 11:30 amWe consider a monopolist who wishes to sell n goods to a single additive buyer, where the buyer's valuations for the goods are drawn according to independent distributions. It is...
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MATHEMATICAL PICTURE LANGUAGE
September 15, 2020 10:00 amThis talk aims to summarize a project I was involved in during the past 5 years, which links together many areas in math, CS and physics. I hope to explain our...
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CMSA EVENTS
September 14, 2020 10:30 amI will describe an analogue of Saito's theory of primitive forms for Calabi-Yau A-infinity categories. Under some conditions on the Hochschild cohomology of the category, this construction recovers the (genus...
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CMSA EVENTS
September 10, 2020 10:30 amCertain patterns of symmetry fractionalization in (2+1)D topologically ordered phases of matter can be anomalous, which means that they possess an obstruction to being realized in purely (2+1)D. In this...
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OPEN NEIGHBORHOOD
September 9, 2020 4:30 pmI 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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NUMBER THEORY
September 9, 2020 3:00 pmWe 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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RANDOM MATRIX
September 9, 2020 2:00 pmI 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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CMSA EVENTS
September 9, 2020 10:30 amWe 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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