Date: Monday, February 21, 2022
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: On Stevenhagen's conjecture
Abstract: Consider the conic C_d : x^2  dy^2 = 1 to be solved in integers x and y. How often is C_d soluble as we vary over squarefree integers d? Stevenhagen conjectured an asymptotic formula, which was recently proved by Pagano and myself. The goal of this talk is to give a basic overview of the area such as class groups, genus theory and the CohenLenstra heuristics.
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Speaker: Peter Koymans
Institution: University of Michigan
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