Objective
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 tale 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-tale motives and realizations.
Prove a general comparison between the log-tale 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 Skodowska-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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics geometry
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
-
HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
See all projects funded under this programme
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
See all projects funded under this funding scheme
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2022-PF-01
See all projects funded under this callCoordinator
Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
20122 Milano
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.