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Speaker: Dana Bartosova (University of Florida) Title:Â What do topological dynamics, combinatorics, and model theory have in common? Abstract:Â A striking correspondence between dynamics of automorphism groups of countable first order structures and Ramsey theory of finitary approximation of the structures was established in 2005 by Kechris, Pestov, and Todocevic. Since then, their work has been generalized […] |
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Member Seminar Speaker: Samy Jelassi Title: An introduction to mixture of experts in deep learning Abstract: Scale has opened new frontiers in natural language processing – but at a high cost. Mixture-of-Experts (MoE) have been proposed as a path to even larger and more capable language models. They select different parameters for each incoming example. By […] |
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Speaker: Xuwen Zhu (Northeastern) Title: Analysis of ALH* gravitational instantons Abstract: Gravitational instantons are non-compact Calabi-Yau metrics with L^2 bounded curvature and are categorized into six types. We will discuss one such type called ALH* metrics which has a non-compact end modelled by the Calabi ansatz with inhomogeneous collapsing near infinity. Such metrics appeared recently in the works on SYZ conjecture, […] |
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CMSA Q and A Seminar Speakers: Mike Douglas (Harvard CMSA) and Anurag Anshu (Harvard Computer Science) Topics: Mike Douglas: What are scaling laws in deep learning? Anurag Anshu:Â What's the difference between classical information theory and quantum information theory (or classical computation vs quantum computation)? |
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Member Seminar Speaker: Juven Wang Title: Open Problems in Physics and Novel Solutions from Math Abstract: (1) How do neutrinos obtain tiny mass and oscillate between e, \mu, \tau three flavors? What consists of Dark Matter? What causes leptogenesis and baryogenesis? (2) Why the Parity Symmetry is violated in the weak interaction? How do we quantum mechanically regularize and […] |
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Colloquium Speaker: Justin Moore (Cornell University) Title: Homology, higher derived limits, and set theory Abstract: Singular homology has a number of well-known defects when used to study spaces such as the Hawaiian earring and solenoids. It may not reflect the "shape" of the space and can give counterintuitive information about its dimension. One remedy of […] |
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Member Seminar Speaker:Â Alejandro Poveda Title:Â On compactness phenomena Abstract:Â In this presentation I shall be preoccupied with compactness phenomena in set theory. Compactness is the phenomenon by which the local properties of a mathematical structure determine its global behavior. This phenomenon is intrinsic to the very architecture of the mathematical universe and manifests to us in a […] |
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