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

7 18

Mordell Weil rank jumps and the Hilbert property

By Cecília Salgado

We study rank jumps of the Mordell-Weil groups of the fibres of elliptic surfaces. I will discuss the cases for which we show that the set for which the rank jumps is not thin. This is a work in progress with Dan Loughran.

Information about the video

Date of recording 21/05/2019
Date of publication 28/06/2019
Institution IHP
Licence CC BY-NC-ND
Language English
Format MP4
Venue Institut Henri Poincaré

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MSC codes

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All the collection videos

01:04:03

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01:10:20

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01:04:28

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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

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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

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