SEMINARS, NUMBER THEORY
April 24, 2024 3:00 pmLet $E/\mathbb{Q}$ be an elliptic curve of analytic rank $2$, and let $p$ be an odd prime of good, ordinary reduction such that the $p$-torsion of $E(\mathbb{Q})$ is trivial. Let...
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SEMINARS, NUMBER THEORY
April 16, 2024 - April 17, 2024 2:32 pmThe Cohen-Lenstra heuristic studies the distribution of the p-part of the class group of quadratic number fields for odd prime $p$. Gerth’s conjecture regards the distribution of the $2$-part of...
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SEMINARS, NUMBER THEORY
April 10, 2024 3:00 pmLet pi be a cuspidal automorphic representation of $\mathrm{Sp}_{2n}$ over $\mathbb{Q}$ which is holomorphic discrete series at infinity, and $\chi$ a Dirichlet character. Then one can attach to $\pi$ an...
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SEMINARS, NUMBER THEORY
March 27, 2024 3:00 pmOne theme in number theory is to study objects via their ramification: the discriminant of a number field, the conductor of an elliptic curve, the level of a modular form,...
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SEMINARS, NUMBER THEORY
March 20, 2024 3:00 pmCANCELED. Event to be rescheduled. For more info, see https://ashvin-swaminathan.github.io/home/NTSeminar.html
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SEMINARS, NUMBER THEORY
February 28, 2024 3:00 pmLet C be a genus 3 curve whose Jacobian is geometrically simple and has geometric endomorphism algebra equal to an imaginary quadratic field. In particular, consider Picard curves y^3 =...
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SEMINARS, NUMBER THEORY
February 21, 2024 3:00 pmGiven an elliptic curve E over a global field K the abelian group E(K) is finitely generated, and so much effort has been put into trying to understand the behavior of...
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SEMINARS, NUMBER THEORY
February 14, 2024 3:00 pmLet 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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SEMINARS, NUMBER THEORY
December 6, 2023 3:00 pmI will report on joint work in progress with Andrew Booker on the practical implementation of an axiomatic approach to the enumeration of arithmetic L-functions that lie in a certain...
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SEMINARS, NUMBER THEORY
November 29, 2023 3:00 pmFor more info, see https://ashvin-swaminathan.github.io/home/NTSeminar.html
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