Local distribution of rational points and the circle method

Kevin Destagnol (U Paris Sud, Orsay)

Sep 24. 2021, 11:00 — 12:00

Manin’s conjecture predicts some uniform distribution of rational points outside of a given subset on Fano varieties. Using the circle method, we will study in this talk a local analogue (introduced by Zhizhong Huang), whose aim is to describe the local distribution around a given rational point, in the case of hypersurfaces given by forms in many variables. This is joint work with Zhizhong Huang.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Arithmetic Statistics and Local-Global Principles (Workshop)
Organizer(s):
Tim Browning (ISTA, Klosterneuburg)
Daniel Loughran (U Bath)
Rachel Newton (KCL, London)