MIPAC
Financiado
Motivic Integral p-adic cohomologies
This project aims to study p-adic cohomologies of varieties using tools from motivic homotopy theory. Voevodsky's theory of motives has played a crucial role in solving deep mathematical conjectures. However, motives intrinsically...
This project aims to study p-adic cohomologies of varieties using tools from motivic homotopy theory. Voevodsky's theory of motives has played a crucial role in solving deep mathematical conjectures. However, motives intrinsically lack a theory of étale p-adic realizations. In this project, we will use logarithmic geometry tools to generalize the motives category and overpass this problem. More specific goals are related to:
Develop a theory of integral log-étale motives and realizations.
Prove a general comparison between the log-étale p-adic realizations and tame cohomologies
Develop a theory of motives over log points with an integral Hyodo-Kato realization
Solve structural problems in the theory of motives of logarithmic schemes
MIPAC is an innovative project in motivic homotopy theory built to impact several areas within motivic and arithmetic geometry. The project will be completed at the University of Milan, in a leading multi-disciplinary and collaborative environment. I will bring extensive experience in log motives and some unique expertise on non-A1-invariant cohomology theories. I will benefit of the experience and knowledge of the groups of Algebra and Geometry in p-adic cohomologies and motivic homotopy theory. This will facilitate the research in the group and the transfer of knowledge, and expand my experience and intuition, transferable skills, and professional networks. Carrying out MIPAC within a Marie Skłodowska-Curie Fellowship will enhance the development of my career as a complete and independent leading researcher, with a reinforced position within arithmetic and motivic geometry. The leading position of the groups and the department will ensure a great network of international researchers with an impact to the disseminations of the ideas of MIPAC.
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Duración del proyecto: 28 meses
Fecha Inicio: 2023-04-18
Fecha Fin: 2025-08-31
Fecha Fin: 2025-08-31
Línea de financiación: concedida
El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2023-04-18
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
HORIZON-MSCA-2022-PF-01-01:
MSCA Postdoctoral Fellowships 2022
Cerrada
hace 2 años
Presupuesto
El presupuesto total del proyecto asciende a
173K€
Líder del proyecto
UNIVERSITA DEGLI STUDI DI MILANO
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5