Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

Algebra seminar in Lincoln: talk by Dr Alex Bartel

On 7th of February 2019  Dr Alex Bartel (University of Glasgow) visited the Charlotte Scott Centre for Algebra in Lincoln and gave a talk  “What does a random finitely generated abelian group look like?”.

Abstract: “Often, in different branches of mathematics, if an algebraic object is somehow drawn “at random”, then the probability that it is isomorphic to a given object A is proportional to 1/#Aut(A). In this talk I will report on joint work with Hendrik Lenstra, in which we explain that this heuristic can even be made precise in a canonical way in certain situations in which #Aut(A) is infinite. Although the work is purely algebraic, the need for it arose in a number theoretic situation, namely in our attempt to shed more light on the Cohen-Lenstra heuristics concerning ideal class groups of number fields.”

One comment on “Algebra seminar in Lincoln: talk by Dr Alex Bartel

  1. Evgeny Khukhro
    February 9, 2019

    Reblogged this on Maths & Physics News.

    Like

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This entry was posted on February 9, 2019 by in research, Seminar, Visitors.
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