Quartic forms in 30 variables

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Vishe, Pankaj

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Title

Quartic forms in 30 variables

Title of Series

Rational and Integral Points via Analytic and Geometric Methods (18w5012)

Number of Parts

Author

Vishe, Pankaj

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/58369 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2018

Language

English

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Subject Area

Mathematics

Genre

Workshop/Interactive Format Lecture

Abstract

We will prove that smooth Quartic hypersurfaces satisfy the Hasse Principle as long as they are defined over at least 30 variables. The key tool here is employing Kloosterman's version of circle method. This is a joint work with Oscar Marmon (U Lund).