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A motivic circle method

Project description

A motivic circle method for the study of spaces of rational curves

The Hardy–Littlewood circle method is a well-known technique of analytic number theory that has successfully solved a number of major number theory problems such as the ternary Goldbach conjecture. It has also benefitted other fields, including quantum computing and algebraic geometry. The aim of the EU-funded MotivicCircleMethod project is to adapt the method to the so-called motivic setting. The proposed applications concern spaces of rational curves on hypersurfaces. Understanding the structure of such spaces can shed light on several major open questions in algebraic geometry and number theory.

Coordinator

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Net EU contribution
€ 186 167,04
Address
Am Campus 1
3400 Klosterneuburg
Austria

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Region
Niederösterreich Wiener Umland/Nordteil
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00