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Slideshow

Tags: Seminars

  First talk at 4:00 by Jennifer Balakrishnan (Boston University) A tale of three curves We will describe variants of the Chabauty--Coleman methodand quadratic Chabauty to determine rational points on curves. In so doing, we will highlight some recent examples where the techniques have been used: this includes a problem of Diophantus originally solved by Wetherell and the problem of the "cursed curve", the split Cartan modular curve of…
Title: The least degree of a CM point on a modular curve Abstract: We discuss upper and lower bounds on the least degree of a CM point on various modular curves. This is joint work with Tyler Genao, Paul Pollack and Freddy Saia.
Title: Restriction of Scalars, Chabauty's Method, and P1 - {0,1 ∞}. Abstract: For a number field K and a curve X/K, Chabauty's method is a powerful p-adic tool for bounding/enumerating the set X(K). The method typically requires that dimension of the Jacobian J of X is greater than the rank of $(K). Since this condition often fails, especially when the degree of K is large, several techniques have been proposed to augment Chabauty's method. For…

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