Featured Speaker:  Prof. Bjorn Poonen (Massachusetts Institute of Technology)

Title:  Heuristics for the arithmetic of elliptic curves 

Abstract:  This is an introduction to a probabilistic model for the arithmetic of elliptic curves, a model developed in a series of articles of the author with Bhargava, Kane, Lenstra, Park Rains, Voight, and Wood.  We discuss the theoretical evidence for the model, and we make predictions about elliptic curves based on corresponding theorems and proved about the model.  In particular, the model suggests that all but finitely many elliptic curves over Q have rank 21, which would imply that the rank is uniformly bounded.

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https://mit.zoom.us/j/94436234589#success