• Speaker: Akshay Venkatesh, Stanford University
  • Title: The Cohen-Lenstra heuristics: from arithmetic to topology and back again
  • Location: Room V206, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Access Grid Venue: TBC
  • Time and Date: 1:00 pm, Wed, 25th Sep 2013
  • Abstract:

    I will discuss some models of what a "random abelian group" is, and some conjectures (the Cohen-Lenstra heuristics of the title) about how they show up in number theory. I'll then discuss the function field setting and a proof of these heuristics, with Ellenberg and Westerland. The proof is an example of a link between analytic number theory and certain classes of results in algebraic topology ("homological stability").

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