The quadratic Manin-Peyre conjecture for del Pezzo surfaces

Abstract: In this talk, we outline a general framework for the study of the "quadratic" Manin-Peyre conjecture (i.e. the Manin-Peyre conjecture for symmetric squares of varieties) for del Pezzo surfaces. We then apply this framework (in conjunction with, among other things, some novel lattice counting techniques) to prove that the quadratic Manin-Peyre conjecture holds for an infinite family of non-split quadrics. This is joint work with Kevin Destagnol, Julian Lyczak, Jennifer Park, and Nick Rome.

number theory

Audience: researchers in the topic

London number theory seminar

Series comments: For reminders, join the (very low traffic) mailing list at mailman.ic.ac.uk/mailman/listinfo/london-number-theory-seminar

For a record of talks predating this website see: wwwf.imperial.ac.uk/~buzzard/LNTS/numbtheo_past.html