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DTSTART;TZID=UTC:20260408T150000
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UID:10003124-1775660400-1775664000@www.math.harvard.edu
SUMMARY:Quadratic Chabauty in higher genus
DESCRIPTION:Determining rational points on modular curves is an important problem in arithmetic geometry. While quadratic Chabauty can be an effective p-adic tool for computing rational points on certain modular curves where the rank of the Jacobian equals the genus\, many of the underlying computations\, such as computing a basis of de Rham cohomology\, as well as the local height computations\, become computationally prohibitive for higher genus non-split Cartan modular curves. We will discuss joint work in progress with Steffen Mueller and Jan Vonk to study rational points on the genus 8 non-split Cartan modular curve $X_{ns}^+(19)$ with Jacobian rank 8 using quadratic Chabauty.
URL:https://www.math.harvard.edu/event/quadratic-chabauty-in-higher-genus/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:NUMBER THEORY
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DTSTART;TZID=America/New_York:20260408T161500
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CREATED:20260402T194319Z
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UID:10003123-1775664900-1775668500@www.math.harvard.edu
SUMMARY:Subgraphs versus Orientations: Infinite families of equidistributions
DESCRIPTION:A classical enumerative result states that\, given a graph G and a vertex u\, the number of connected subgraphs of G is equal to the number of orientations of G such that every vertex can reach u by a directed path. We show that this result is an instance of a much broader set of enumerative identities between subgraphs and orientations corresponding to various connectivity constraints. This is joint work with Jonathan Fang. \nFor information about the Richard P. Stanley Seminar in Combinatorics\, visit… https://math.mit.edu/combin/
URL:https://www.math.harvard.edu/event/subgraphs-versus-orientations-infinite-families-of-equidistributions/
LOCATION:Science Center Hall E\, 1 Oxford St\, Cambridge\, 02138\, United States
CATEGORIES:HARVARD-MIT COMBINATORICS
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