TITLE: Area-minimizing integral currents and their regularity ABSTRACT: Caccioppoli sets and integral currents (their generalization in higher codimension) were introduced in the late fifties and early sixties to give a general...
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TITLE: The origins of Langlands’ conjectures ABSTRACT: Langlands has made many contributions to number theory, but the principal one is probably his discovery in 1966–67, followed by work in subsequent years, of...
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The cuprate superconductors exhibit the highest ambient-pressure superconducting transition temperatures (T c ), and after more than three decades of extraordinary research activity, continue to pose formidable scientific challenges. A...
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We'll start with a type of doodle most of you have done since you were little, and start wondering about it. We'll be led through a number of questions I've...
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Modern machine learning methods --most noticeably multi-layer neural networks-- require to fit highly non-linear models comprising tens of thousands to millions of parameters. Despite this, little attention is paid to...
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In this second talk, I will focus on (nearly) solvable models of metal-metal transition in random systems. The t-J model with random and all-to-all hopping and exchange can be mapped onto a...
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A few years ago Maksym Radziwill and I showed that the average of a multiplicative function in almost all very short intervals $[x, x+h]$ is close to its average on...
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Recently there has been tremendous progress on constructing (projective) moduli spaces of Fano varieties using K-stability. In this talk, we will show that the K-moduli space of cubic fourfolds coincide...
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Cybersecurity research exhibits classic yet complex challenges, melding together cryptography, programming language design, and computational complexity, along with psychology and industrial design. One example of these challenges is crafting an...
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Fusion categories have been extensively studied by Mathematicians and have proved to have many important applications in quantum physics. A fusion category is completely determined by a set of F-symbols...
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