SEMINARS, NUMBER THEORY
November 15, 2023 3:00 pmConsider the setting of a smooth variety $S$ over $\mathbb{F}_q$, and an $\ell$-adic local on $S$ which has finite determinant and is geometrically irreducible. Work of Lafforgue proves that such...
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SEMINARS, NUMBER THEORY
November 8, 2023 3:00 pmI will discuss recent joint work with Jeremy Rouse and Drew Sutherland on Mazur’s “Program B” — the classification of the possible “images of Galois” associated to an elliptic curve...
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SEMINARS, NUMBER THEORY
November 1, 2023 3:00 pmGiven an arithmetic subgroup Γ in a semi-simple Lie group G, the multiplicity of an irreducible representation of G in L^2(Γ\G) is unknown in general. We observe the multiplicity of...
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SEMINARS, NUMBER THEORY
October 25, 2023 3:00 pmp-adic heights have been a rich source of explicit functions vanishing on rational points on a curve. In this talk, we will outline a new construction of canonical p-adic heights...
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SEMINARS, NUMBER THEORY
October 18, 2023 3:00 pmWe prove results in the direction of showing that for some affine curves, Baker's method applied to finite étale covers is insufficient to determine the integral points.
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SEMINARS, NUMBER THEORY
October 11, 2023 3:00 pmThe Neron--Ogg--Shafarevich criterion asserts that an abelian variety over ℚp has good reduction if and only if the Galois action on its ℤℓ-linear Tate module is unramified (for ℓ different...
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SEMINARS, NUMBER THEORY
October 4, 2023 3:00 pmWeissauer proved using the theory of endoscopy that the Galois representations associated to classical modular forms of weight two appear in the middle cohomology of both a modular curve and...
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SEMINARS, NUMBER THEORY
September 27, 2023 3:00 pmWe prove, for any prime ∫ greater than or equal to 5, that a density one set of rational elliptic curves are ∫-Diophantine stable in the sense of Mazur and...
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SEMINARS, NUMBER THEORY
September 20, 2023 3:00 pmThe class number formula describes the behavior of the Dedekind zeta function at $s=0$ and $s=1$. The Stark conjecture extends the class number formula, describing the behavior of Artin $L$-functions...
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SEMINARS, NUMBER THEORY
April 26, 2023 3:00 pmfor abstract go to: researchseminars.org - View talk
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