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BirNonArchGeom SIGNED

Birational and non-archimedean geometries

Total Cost €

EC-Contrib. €

Partnership

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BirNonArchGeom project word cloud

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

intertwined birational intensive modern geometry formal jong schemes breakthroughs seems symbiosis difficult ramification zero history analytic algebraic somewhat semistable geometries desingularization probable names techniques directions de singularities phenomena theoretic stack though obstacle dominating positive abhyankar archimedean wild contributions morphisms nearly resolution toroidal hironaka probably central transfer nowadays centennial zariski waiting triumph alterations

Project "BirNonArchGeom" data sheet

The following table provides information about the project.

Coordinator	THE HEBREW UNIVERSITY OF JERUSALEM Organization address address: EDMOND J SAFRA CAMPUS GIVAT RAM city: JERUSALEM postcode: 91904 website: www.huji.ac.il 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	Israel [IL]
Total cost	1˙365˙600 €
EC max contribution	1˙365˙600 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2017-COG
Funding Scheme	ERC-COG
Starting year	2018
Duration (year-month-day)	from 2018-05-01 to 2023-04-30

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE HEBREW UNIVERSITY OF JERUSALEM THE HEBREW UNIVERSITY OF JERUSALEM Organization address address: EDMOND J SAFRA CAMPUS GIVAT RAM city: JERUSALEM postcode: 91904 website: www.huji.ac.il contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IL (JERUSALEM)	coordinator	1˙365˙600.00

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Project objective

Resolution of singularities is one of classical, central and difficult areas of algebraic geometry, with a centennial history of intensive research and contributions of such great names as Zariski, Hironaka and Abhyankar. Nowadays, desingularization of schemes of characteristic zero is very well understood, while semistable reduction of morphisms and desingularization in positive characteristic are still waiting for major breakthroughs. In addition to the classical techniques with their triumph in characteristic zero, modern resolution of singularities includes de Jong's method of alterations, toroidal methods, formal analytic and non-archimedean methods, etc.

The aim of the proposed research is to study nearly all directions in resolution of singularities and semistable reduction, as well as the wild ramification phenomena, which are probably the main obstacle to transfer methods from characteristic zero to positive characteristic.

The methods of algebraic and non-archimedean geometries are intertwined in the proposal, though algebraic geometry is somewhat dominating, especially due to the new stack-theoretic techniques. It seems very probable that increasing the symbiosis between birational and non-archimedean geometries will be one of by-products of this research.

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