2019 - T2 - WS1 - Rational Points on Fano and Similar Varieties

Collection 2019 - T2 - WS1 - Rational Points on Fano and Similar Varieties

Organizer(s)

Date(s) 20/05/2019 - 24/05/2019

00:00:00 / 00:00:00

5 18

Complexes of tori and rational points on homogeneous spaces over a function field

By David Harari

We explain new arithmetic duality theorems for finite group schemes and 2-term complexes of tori defined over a global field of positive characteristic. We also apply these results to prove local global principles for homogeneous spaces of linear algebraic groups (joint work with Cyril Demarche).

Information about the video

Date of recording 20/05/2019
Date of publication 28/06/2019
Institution IHP
Licence CC BY-NC-ND
Language English
Format MP4
Venue Institut Henri Poincaré

Domain(s)

MSC codes

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

01:04:03

published on June 28, 2019

Obstruction de Brauer-Manin pour les surfaces de Markoff

By Jean-Louis Colliot-Thélène

01:10:20

published on June 28, 2019

Motivic Euler products

By Margaret Bilu

01:04:28

published on June 28, 2019

Sections of del Pezzo fibrations over P1

By Sho Tanimoto

01:05:16

published on June 28, 2019

On a conjecture of Poonen and Voloch I: Probabilistic models for counting rational points on random Fano hypersurfaces

By Will Sawin

01:02:43

published on June 28, 2019

Complexes of tori and rational points on homogeneous spaces over a function field

By David Harari

01:06:25

published on June 28, 2019

On a conjecture of Poonen and Voloch II: Lattice point counting and the variance of the number of rational points on Fano hypersurfaces

By Pierre Le Boudec

01:04:26

published on June 28, 2019

Mordell Weil rank jumps and the Hilbert property

By Cecília Salgado

01:05:22

published on June 28, 2019

Structure of homogeneous spaces and applications to local-global principles

By Cyril Demarche

01:08:51

published on June 28, 2019

The local-global principle for stacky curves

By Bjorn Poonen

01:05:24

published on June 28, 2019

Campana’s orbifolds, points of bounded height and fibrations

By Arne Smeets

01:01:10

published on June 28, 2019

Local-Global principles for tori over arithmetic surfaces

By Julia Hartmann

01:06:34

published on June 28, 2019

Serre’s problem for diagonal conics

By Efthymios Sofos

01:07:10

published on June 28, 2019

Counting rational points of cubic hypersurfaces

By Per Salberger

01:05:10

published on June 28, 2019

Approximation fine pour les points rationnels sur les corps de fonctions

By Olivier Wittenberg

01:04:56

published on June 28, 2019

A quantitative version of the fibration method

By Daniel Loughran

59:40

published on June 28, 2019

Rational lines on cubic hypersurfaces

By Julia Brandes

01:05:21

published on June 28, 2019

Strong approximation for a family of norm varieties

By Fei Xu

01:08:22

published on June 28, 2019

Integral points of bounded height on toric varieties — reloaded

By Antoine Chambert-Loir

Copyright Carmin.tv 2025

Give feedback