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BTMG SIGNED

Birational and Tropical Methods in Geometry

Total Cost €

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EC-Contrib. €

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Partnership

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Project "BTMG" data sheet

The following table provides information about the project.

Coordinator
THE UNIVERSITY OF WARWICK 

Organization address
address: Kirby Corner Road - University House
city: COVENTRY
postcode: CV4 8UW
website: www.warwick.ac.uk

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 United Kingdom [UK]
 Total cost 183˙454 €
 EC max contribution 183˙454 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2016
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-09-01   to  2020-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    THE UNIVERSITY OF WARWICK UK (COVENTRY) coordinator 183˙454.00

Map

 Project objective

We propose major advances in several fundamental questions of algebraic geometry, centering around the invariants of varieties, that we will attack on two fronts. One direction considers birational invariants and rationality properties. The other studies deformation properties of varieties, especially in terms of curve-counting invariants. Accordingly, we divide the material into three main projects. In the first, we will prove rationality theorems for many new birational quotients obtained via divided powers. The second project sets up a novel method of counting tropical curves, that will lead to results on tropical correspondences. Our third project extends the ideas of the second, proving deep enumerative results in log geometry; we expect this to provide a state-of-the-art enumerative interpretation of the divisor-line bundle equivalence in log tropical terms. The University of Warwick is the ideal venue for this research. The PI will benefit from the extensive experience of Miles Reid and Christian Böhning, world experts in birational geometry and the modern study of rationality questions, and from collaboration with Diane Maclagan, an acknowledged authority in tropical geometry.

 Publications

year authors and title journal last update
List of publications.
2018 Jinwon Choi, Michel van Garrel, Sheldon Katz, Nobuyoshi Takahashi
Local BPS Invariants: Enumerative Aspects and Wall-Crossing
published pages: , ISSN: 1073-7928, DOI: 10.1093/imrn/rny171
International Mathematics Research Notices 2019-04-18

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