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ZETA-FM SIGNED

Zeta functions and Fourier-Mukai transforms

Total Cost €

EC-Contrib. €

Partnership

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ZETA-FM project word cloud

Explore the words cloud of the ZETA-FM project. It provides you a very rough idea of what is the project "ZETA-FM" about.

orlov algebraic largely sheaves enrich central invariants category function variety arithmetic classically interaction despite remained techniques serve disjoint predicts points zeta classes prove conjecture finite coherent contact varieties ideas until categories invariant detected catalyst geometry

Project "ZETA-FM" data sheet

The following table provides information about the project.

Coordinator	UNIVERSITEIT VAN AMSTERDAM Organization address address: SPUI 21 city: AMSTERDAM postcode: 1012WX website: www.uva.nl 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	Netherlands [NL]
Total cost	2˙000˙000 €
EC max contribution	2˙000˙000 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2019-COG
Funding Scheme	ERC-COG
Starting year	2020
Duration (year-month-day)	from 2020-09-01 to 2025-08-31

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	UNIVERSITEIT VAN AMSTERDAM UNIVERSITEIT VAN AMSTERDAM Organization address address: SPUI 21 city: AMSTERDAM postcode: 1012WX website: www.uva.nl contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	NL (AMSTERDAM)	coordinator	2˙000˙000.00

Map

Project objective

Arithmetic geometry and the study of derived categories of coherent sheaves are two central areas of research in algebraic geometry. Despite their many points of contact, they have until recently remained largely disjoint.

The zeta function of an algebraic variety over a finite field is one of the most studied invariants in arithmetic geometry, and a conjecture of Orlov predicts that this invariant can be detected by the derived category of coherent sheaves on the variety. In this project, I will prove this for large classes of varieties. To achieve this, I will enrich a wide range of techniques from arithmetic geometry with ideas that have classically been used in the study of derived categories. In this way, this project will also serve as a catalyst for further interaction between arithmetic geometry and derived categories.

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The information about "ZETA-FM" are provided by the European Opendata Portal: CORDIS opendata.