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        "event_title":"L.E.K. Undergraduate Diversity Series",
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        "description":"Join us for our Undergraduate Diversity Series at L.E.K to learn more about the various Employee Resource Groups and how they build community while working at L.E.K.\n",
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        "event_title":"Logic Seminar: A Reverse Mathematical analysis of some key results in commutative algebra",
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        "combined_title":"Logic Seminar: A Reverse Mathematical analysis of some key results in commutative algebra: Dhruv Kulshreshtha",
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        "description":"The Reverse Mathematics research program was introduced by Harvey Friedman with the goal of determining the minimal axioms needed to prove theorems of non-foundational mathematics. For my honors thesis, I have spent the last two semesters learning about said program in the context of commutative algebra.\r\n\r\nIn particular, while a standard proof of David Hilbert's Nullstellensatz uses his Basis Theorem, the former seems more constructive than the latter. For example, one may recall that upon learning about Hilbert's nonconstructive proof of the Basis Theorem, Paul Gordan, then at the forefront of invariant theory, exclaimed, \"This is not mathematics. This is theology.\" Although this story has its caveats, it is, in fact, provable that the Basis Theorem needs strictly more machinery than the Nullstellensatz.\r\n\r\nThrough this talk, I aim to tell two parallel stories: the more mathematical story of formalizing the notion of being more or less constructive through subsystems of second-order arithmetic; and the more historical story of the broader shift from computational to conceptual argumentation. The overlap of these stories is surprisingly non-trivial, with connections to a partial realization of Hilbert's Program. \r\n\r\nI am eternally grateful to Andreas Blass and Jamie Tappenden, who jointly advised my thesis.",
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        "event_title":"Optimal win martingale",
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        "description":"A prediction market is a market where people can trade based on the outcomes of future events. It is widely used in sports games, elections, and the pricing of digital options. In math finance, prediction markets can be modeled by the so-called win martingales, continuous time martingales that end up with Bernoulli distributions. In this talk, choosing specific divergences as objective functionals, we will solve a class of optimal win martingale. In some cases, we will get explicit formulas of optimizers, and make connections between Schr\u00f6dinger and filtering problems. Based on the joint work with Julio Backhoff.",
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        "description":"On the cusp of the 100 year anniversary, Khinchin\u2019s theorem implies a strong 0-1 law for the real line; namely, the set of real numbers within distance q^{-2-\\epsilon} of infinitely many rationals p\/q is Lebesgue measure 0 for \\epsilon>0, and full measure for \\epsilon=0. In these lectures, I will present an analogous Khinchin-type theorem for horoballs packings in Gromov hyperbolic metric spaces that arise from geometrically finite actions with controlled parabolic growth. An application is the logarithm law for cusp excursion; that is, we prove asymptotics for the depth in the horoball packing of a typical geodesic. This is joint work with Giulio Tiozzo.",
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        "cost":"Free - no tickets required",
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        "event_title":"Culture in the Courtyard; South Asia",
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