Number Theory Seminar: Nils Bruin

  • Date: 01/27/2011
  • Time: 15:00
Nils Bruin

Simon Fraser University


Explicit descent setups


AbstractIn modern language, Fermat's Descent Infini establishes that an elliptic curve has a Mordell-Weil group of rank 0. Since then, the method has been generalized to provide an upper bound on the rank of any elliptic curve and further work also allows the analysis of the Mordell-Weil group of Jacobians of many hyperelliptic curves. Reformulating work of Schaefer, we present a general framework, in principle applicable to any curve, which allows us, under certain technical conditions, to provide an upper bound on the rank of the Jacobian of any curve. In particular, we have been able to compute some rank bounds on Jacobians of smooth plane quartic curves. This is joint work with Bjorn Poonen and Michael Stoll.

Other Information: 

Location: ASB 10900 (IRMACS - SFU Campus)


For more information please visit UBC Mathematics Department