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

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

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

00:00:00 / 00:00:00

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Counting rational points of cubic hypersurfaces

By Per Salberger

Let N(X;B) be the number of rational points of height at most B on an integral cubic hypersurface X over Q. It is then a central problem in Diophantine geometry to study the asymptotic behavior of N(X;B) when B growths. We present some recent results on this for various classes of cubic hypersurfaces.

Information about the video

Date of recording 23/05/2019
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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All the collection videos

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01:02:43

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01:06:25

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

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01:04:26

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01:05:22

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01:08:51

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01:05:24

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01:01:10

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Local-Global principles for tori over arithmetic surfaces

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01:06:34

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Serre’s problem for diagonal conics

By Efthymios Sofos

01:07:10

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Counting rational points of cubic hypersurfaces

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01:05:10

published on June 28, 2019

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By Olivier Wittenberg

01:04:56

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published on June 28, 2019

Rational lines on cubic hypersurfaces

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01:05:21

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By Fei Xu

01:08:22

published on June 28, 2019

Integral points of bounded height on toric varieties — reloaded

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