The $l^2$ decoupling approach to the lattice points on a curve

Date
2022/08/24 Wed 10:00 - 11:00
Room
3号館152号室
Speaker
清原大慈
Affiliation
Massachusetts Institute of Technology
Abstract

「整数論セミナー」

Bombieri-Pila provided an upper bound of the lattice points on a planar curve, under certain smoothness and non-degeneracy conditions of the curve. On the other hand, there has been a breakthrough in Fourier analysis called $l^2$ decoupling. It has numerous applications to analytical number theory including the solution to Vinogradov's mean value theorem. In this talk, I will discuss an alternative proof of Bombieri-Pila's result using the $l^2$ decoupling and how the method allows the generalization to a set that is not necessarily a lattice.

※ 本セミナーは3号館152教室で行います。(教室を変更しました。)
(注意)普段の数論合同セミナーとは曜日・時間帯が違います。

※ 本セミナーは対面で行われます。