Past Seminars

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  • Chris Rackauckas
    Mon Jun 4, 2018
    11:00 am
  • Nathan Kaplan
    Fri Jun 1, 2018
    3:00 pm
    How do you choose a random finite abelian group? A d x d integer matrix M gives a linear map from Z^d to Z^d. The cokernel of M is Z^d/Im(M). If det(M) is nonzero, then the cokernel is a finite abelian group of order det(M) and rank at most d. What do these groups ‘look like’? How often are they cyclic? What can we say about their p-...
  • Ali Kassir
    Fri Jun 1, 2018
    9:30 am
  • Satyan Devadoss
    Thu May 31, 2018
    4:00 pm
    Associativity is ubiquitous in mathematics.  Unlike commutativity, its more popular cousin, associativity has for the most part taken a backseat in importance.  But over the past few decades, associativity has blossomed and matured, appearing in theories of particle collisions, elliptic curves, and enumerative geometry.  We start...
  • Zev Klagsbrun
    Thu May 31, 2018
    3:00 pm
    We determine the average size of the Φ-Selmer group in any quadratic twist family of abelian varieties having an isogeny Φ of degree 3 over any number field. This has several applications towards the rank statistics in such families of quadratic twists. For example, it yields the first known quadratic twist families of absolutely...
  • Zev Klagsbrun
    Thu May 31, 2018
    3:00 pm
    We determine the average size of the Φ-Selmer group in any quadratic twist family of abelian varieties having an isogeny Φ of degree 3 over any number field. This has several applications towards the rank statistics in such families of quadratic twists. For example, it yields the first known quadratic twist families of absolutely...
  • Mauro Di Nasso
    Wed May 30, 2018
    4:00 pm
    In  Ramsey  Theory, ultrafilters often play an instrumental role. By using nonstandard models of the integers, one can replace those third-order objects (ultrafilters are families of subsets) by simple points. In this talk we present a nonstandard technique that is grounded on the above observation, and show its use in proving some new...