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Number Theory Learning Seminar

"Equidistribution of 3-Torsion Ideals"

Matthew Welsh,Ā Rutgers University

Location:  HILL 525
Date & time: Wednesday, 26 April 2017 at 3:15PM -

Abstract: For an imaginary quadratic field, the Cohen-Lenstra heuristics predict asymptotics for the average size of the k-torsion of the class group. Apart from what is given by genus theory, only the asymptotics for k=3 is known, proven by Davenport and Heilbronn. I will discuss a new method of Hough that recovers the Davenport-Heilbronn theorem and a lower order term in the asymptotic by proving that the 3-torsion ideals are equidistributed in H/SL_2(Z).

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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