Seminar Event Detail

RTG Seminar on Number Theory

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 Cohen--Lenstra heuristics.


Speaker:  Peter Koymans
Institution:  University of Michigan

Event Organizer:     


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