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EU funding (€195,455): Foundations and applications of tropical moduli theory Hor 7 Jun 2018 EU Research and Innovation programme "Horizon"
Overview
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Foundations and applications of tropical moduli theory
Tropical geometry is the geometry of the combinatorial objects associated to degenerations and compactifications of algebraic (or analytic) varieties. As in algebraic geometry, the tropical geometry of moduli spaces is one of the richest and most fundamental parts of this field, with many of the features of tropical geometry only being visible through the prism of moduli spaces. The experienced researcher proposes to extend the foundations of tropical moduli theory, building on his prior work on tropical moduli stacks, and to explore new applications of these combinatorial techniques to classical problem in arithmetic and algebraic geometry. During the fellowship the experienced researcher will focus on the following three types of moduli spaces: - The universal Picard variety, with applications to Brill-Noether theory (universally over the moduli space of curves), as well as to theta-characteristics, spin curves, and Prym varieties. - Moduli of (higher) differentials, with applications to Eliashberg's problem on the compactification of the double ramification locus and the compactification of strata of abelian and quadratic differentials. - Moduli of G-admissible covers with the goal of developing a tropical approach to the regular inverse Galois problem.
Funded Companies:
| Company name | Funding amount |
| University of Warwick | €195,455 |
Source: https://cordis.europa.eu/project/id/793039
The filing refers to a past date, and does not necessarily reflect the current state. The latest known state is available on the following page: University of Warwick, CV 4 7AL Coventry.
