Irreducible solutions to the Seiberg-Witten equations give a priori estimates for the total scalar curvature of the underlying 4-manifold. This was used by LeBrun in the late 90s to construct...
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The problem of testing direct product functions lies at the intersection of many areas within theoretical computer science, such as error correcting codes, probabilistically checkable proofs (PCPs), hardness amplification and...
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In this talk I consider potentials coming from fluxes in string theory. The minima of these potentials trace out special loci in the moduli space of Calabi-Yau manifolds. I discuss...
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Simulations of quantum chemistry and quantum materials are believed to be among the most important potential applications of quantum information processors, but realizing practical quantum advantage for such problems is...
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I will discuss the interaction of telescopically localized algebraic K theory with the higher cyclotomic extensions introduced in Mike's talk, and explain why this is a key step in the disproof of...
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We consider the Weil-Petersson gradient vector field of renormalized volume on the deformation space of convex cocompact hyperbolic structures of a (relatively) acylindrical manifold. Using a toy model for the...
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In this talk we discuss the algebra of quantum observables of the Chern-Simons matrix model which was originally proposed by Susskind and Polychronakos to describe electrons in fractional quantum Hall...
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Seminar CANCELLED due to speaker illness. Will be rescheduled at a different date Recently, there has been much progress in understanding stationary measures for colored (also called multi-species or multi-type)...
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Let G, X be a Shimura datum, and let K be a compact open subgroup of G(Af). One hopes that under mild assumptions on G and K, the points of...
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Large language models exhibit many surprising “out-of-distribution” generalization abilities, yet also struggle to solve certain simple tasks like decimal addition. To clarify the scope of Transformers' out-of-distribution generalization, we isolate...
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