Hola,
¿eres nuevo aquí?

Regístrate gratis y conecta tu empresa con financiación pública, partners y proyectos.

Tengo cuenta

Regístrate

Ver video

MotivicCircleMethod

Financiado

Cerrado

A motivic circle method

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... ver más

24/10/2022

IST AUSTRIA

186K€

Presupuesto del proyecto: 186K€

Líder del proyecto

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2022-10-24

MSCA-IF-2019: Individual Fellowships

I+D

Cerrada hace 5 años

0% 100% 100%

Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

1 Participantes

IST AUSTRIA

186.17K€ | Lider

Conecta tu I+D

¿Tienes un proyecto y buscas un partner? Gracias a nuestro motor inteligente podemos recomendarte los mejores socios y ponerte en contacto con ellos. Te lo explicamos en este video

Proyectos interesantes

MTM2009-13060-C02-01 ARIITMETICA DE VARIEDADES ALGEBRAICAS: TEORIA Y COMPUTACION 96K€ Cerrado

IWTHEGAR Iwasawa theory of Galois representations 100K€ Cerrado

MTM2012-34611 ARITMETICA DE FUNCIONES L Y ESTRUCTURAS DE GALOIS 111K€ Cerrado

CIRCLE METHOD The Circle Method Character Sums and Quadratic Forms 173K€ Cerrado

PID2019-107297GB-I00 MODULARIDAD DE REPRESENTACIONES DE GALOIS Y ECUACIONES DIOFA... 37K€ Cerrado

ExplicitRatPoints Explicit methods for rational points on curves and their Jac... Cerrado

Duración del proyecto: 31 meses Fecha Inicio: 2020-03-16
Fecha Fin: 2022-10-24

Líder del proyecto

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 186K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto 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.

Conecta tu I+D

Entra hoy

¿Olvidé mi contraseña?

Financiación

Empresas

CTIs/Universidades

Proyectos

Investigadores