Summer School 2017 - Arakelov Geometry and diophantine applications

Collection Summer School 2017 - Arakelov Geometry and diophantine applications

Organizer(s) Chen Huayi, Emmanuel Peyre, Gaël Rémond

Date(s) 12/06/2017 - 30/06/2017

linked URL https://if-summer2017.sciencesconf.org/

00:00:00 / 00:00:00

21 41

Slopes and distribution of points (part4)

By Emmanuel Peyre

The distribution of rational points of bounded height on algebraic varieties is far from uniform. Indeed the points tend to accumulate on thin subsets which are images of non-trivial finite morphisms. The problem is to find a way to characterise these thin subsets. The slopes introduced by Jean-Benoît Bost are a useful tool for this problem. These lectures will present several cases in which this approach is fruitful. We shall also describe the notion of locally accumulating subvarieties which arise when one considers rational points of bounded height near a fixed rational point.

Information about the video

Date of recording 23/06/2017
Date of publication 18/02/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

Domain(s)

Number Theory

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

01:24:43

published on February 18, 2026

Arithmetic Intersection (Part4)

By Christophe Soulé

01:26:13

published on February 18, 2026

Arithmetic Intersection (Part3)

By Christophe Soulé

01:10:09

published on February 18, 2026

Arithmetic Intersection (Part2)

By Christophe Soulé

01:31:50

published on February 18, 2026

Arithmetic Intersection (Part1)

By Christophe Soulé

01:26:53

published on February 18, 2026

Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part2)

By Jean-Benoît Bost

01:31:05

published on February 18, 2026

Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part1)

By Jean-Benoît Bost

01:29:59

published on February 18, 2026

Quantitative aspects of rational points on algebraic varieties (part4)

By Per Salberger

01:24:44

published on February 18, 2026

Quantitative aspects of rational points on algebraic varieties (part3)

By Per Salberger

01:03:58

published on February 18, 2026

Quantitative aspects of rational points on algebraic varieties (part2)

By Per Salberger

01:04:38

published on February 18, 2026

Quantitative aspects of rational points on algebraic varieties (part1)

By Per Salberger

01:30:23

published on February 18, 2026

Minima et pentes des espaces adéliques rigides (Part3)

By Eric Gaudron

01:31:00

published on February 18, 2026

Minima et pentes des espaces adéliques rigides (Part 2)

By Eric Gaudron

01:26:47

published on February 18, 2026

Minima et pentes des espaces adéliques rigides (Part1)

By Eric Gaudron

01:02:49

published on February 18, 2026

Théorème de Hilbert-Samuel arithmétique (Part3)

By Huayi Chen

01:03:34

published on February 18, 2026

Théorème de Hilbert-Samuel arithmétique (Part2)

By Huayi Chen

01:00:50

published on February 18, 2026

Théorème de Hilbert-Samuel arithmétique (Part1)

By Huayi Chen

59:43

published on February 18, 2026

Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part4)

By Antoine Chambert-Loir

01:31:53

published on February 18, 2026

Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part3)

By Antoine Chambert-Loir

01:33:45

published on February 18, 2026

Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part2)

By Antoine Chambert-Loir

55:15

published on February 18, 2026

Equidistribution theorems in Arakelov geometry and Bogomolov conjecture (part1)

By Antoine Chambert-Loir

01:28:47

published on February 18, 2026

Slopes and distribution of points (part4)

By Emmanuel Peyre

55:57

published on February 18, 2026

Slopes and distribution of points (part3)

By Emmanuel Peyre

01:02:42

published on February 18, 2026

Slopes and distribution of points (part2)

By Emmanuel Peyre

01:29:51

published on February 18, 2026

Slopes and distribution of points (part1)

By Emmanuel Peyre

01:32:37

published on February 18, 2026

Some problems of arithmetic origin in complex dynamics and geometry (part3)

By Romain Dujardin

01:31:01

published on February 18, 2026

Some problems of arithmetic origin in complex dynamics and geometry (part2)

By Romain Dujardin

01:33:49

published on February 18, 2026

Some problems of arithmetic origin in complex dynamics and geometry (part1)

By Romain Dujardin

01:00:10

published on February 18, 2026

Sieving rational points on algebraic varieties

By Daniel Loughran

01:02:27

published on February 18, 2026

Diophantine approximation and local distribution of rational points

By Zhizhong Huang

54:53

published on February 18, 2026

The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part5)

By Fabrizio Andreatta

01:01:34

published on February 18, 2026

The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part3)

By Fabrizio Andreatta

01:33:12

published on February 18, 2026

The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part4)

By Fabrizio Andreatta

01:30:57

published on February 18, 2026

The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part2)

By Fabrizio Andreatta

01:02:21

published on February 18, 2026

The height of CM points on orthogonal Shimura varieties and Colmez conjecture (part1)

By Fabrizio Andreatta

01:24:56

published on February 18, 2026

Arakelov theory on Shimura varieties (part2)

By Jan Hendrik Bruinier

01:21:09

published on February 18, 2026

Arakelov theory on Shimura varieties (part1)

By Jan Hendrik Bruinier

01:03:01

published on February 18, 2026

Exceptional splitting of reductions of abelian surfaces with real multiplication

By Yunqing Tang

01:01:14

published on February 18, 2026

An analytic class number type formula for PSL2(Z)

By Anna von Pippich

46:14

published on February 18, 2026

Automorphic forms and arithmetic intersections (part 3)

By Gerard Freixas I Montplet

01:31:06

published on February 18, 2026

Automorphic forms and arithmetic intersections (part 2)

By Gerard Freixas I Montplet

01:00:15

published on February 18, 2026

On the arithmetic degree of Shimura curves

By Xinyi Yuan

Copyright Carmin.tv 2026

Give feedback