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MotivicCircleMethod SIGNED

A motivic circle method

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EC-Contrib. €

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Project "MotivicCircleMethod" data sheet

The following table provides information about the project.

Coordinator
INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA 

Organization address
address: Am Campus 1
city: KLOSTERNEUBURG
postcode: 3400
website: www.ist.ac.at

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Austria [AT]
 Total cost 186˙167 €
 EC max contribution 186˙167 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2019
 Funding Scheme MSCA-IF-EF-RI
 Starting year 2020
 Duration (year-month-day) from 2020-06-01   to  2022-05-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA AT (KLOSTERNEUBURG) coordinator 186˙167.00

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 Project objective

The Hardy-Littlewood circle method is a well-known technique coming from analytic number theory, which has been very successful, throughout the last century, in solving many major number-theoretic problems, among which the ternary Goldbach conjecture. In recent years, it has proven even more versatile, finding several applications beyond number theory, for example in quantum computing and algebraic geometry. The aim of this proposal is to adapt the circle method to the so-called motivic setting and apply it to a range of geometric problems. The possibility of a motivic circle method has been raised as an open question by several renowned researchers, as an increasing number of mathematicians are becoming interested in motivic methods because of their numerous applications to other areas of mathematics. The goal is to create a clear and convenient setup for the motivic circle method accessible to mathematicians less used to the motivic setting, highlighting the analogies with the usual circle method. The proposed applications concern spaces of rational curves on hypersurfaces. Describing such spaces is of interest in theoretical physics and is a very active field of study in mathematics, as understanding their structure can shed light on several major open questions in algebraic geometry and number theory. The candidate plans to carry out a thorough investigation of the geometry of such spaces using the motivic circle method, greatly generalising previous results. This will initiate a systematic approach to the study of spaces of rational curves in the motivic framework, and will in particular extend previous work by the proposed supervisor Prof. Tim Browning and his coauthors. The choice of supervisor and host institution is a natural one: while the proposed supervisor Prof. Tim Browning is a leading expert of the circle method, the candidate is very experienced with the motivic setting, and both have previously worked with spaces of rational curves.

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The information about "MOTIVICCIRCLEMETHOD" are provided by the European Opendata Portal: CORDIS opendata.

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