Darmon points for number fields of mixed signature

Add to your list(s) Download to your calendar using vCal

• Marc Masdeu (Warwick)
• Tuesday 13 May 2014, 16:15-17:15
• MR13.

If you have a question about this talk, please contact James Newton.

Fifteen years ago Henri Darmon introduced a construction of p-adic points on elliptic curves. These points were conjectured to be algebraic and to behave much like Heegner points, although so far a proof remains inaccessible. Other constructions emerged in the subsequent years, thanks to work of himself as well as Adam Logan, Matthew Greenberg, Mak Trifkovic and Jerome Gartner, among others. Some of these constructions were also non-archimedean, but others construct points which a priori are defined over the complex numbers. So far none of these constructions are known to yield algebraic points, although there is an extensive and beautiful collection of numerical evidence.

In this talk I will present joint work with Xavier Guitart and Haluk Sengun, in which we propose a framework that includes all the above constructions as particular cases, and which allows us to extend the construction of local points to elliptic curves defined over arbitrary number fields. I will explain our construction and present numerical evidence supporting the new cases.

This talk is part of the Number Theory Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR13
• Number Theory Seminar
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.