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Heuristics for the Arithmetic of Elliptic Curves and Abelian Varieties

Offered By: BIMSA via YouTube

Tags

Elliptic Curves Courses Cryptography Courses Number Theory Courses Group Theory Courses Heuristics Courses Probabilistic Models Courses Algebraic Number Theory Courses Algebraic Geometry Courses Arithmetic Geometry Courses

Course Description

Overview

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Explore a comprehensive overview of a probabilistic model for the arithmetic of elliptic curves in this one-hour conference talk. Delve into the theoretical evidence supporting the model, developed through collaborative efforts with Bhargava, Kane, Lenstra, Park, Rains, Voight, and Wood. Examine predictions about elliptic curves based on corresponding theorems proved within the model. Extend your understanding as the talk extrapolates these concepts to make predictions for higher-dimensional abelian varieties. Gain insights into cutting-edge research in algebraic geometry and number theory, presented by Bjorn Poonen at the ICBS2024 conference.

Syllabus

Bjorn Poonen: Heuristics for the arithmetic of elliptic curves and abelian varieties #ICBS2024


Taught by

BIMSA

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