Cel 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 thefollowing 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. Dziedzina nauki engineering and technologymaterials engineeringcolorsnatural sciencesmathematicspure mathematicsarithmeticsnatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Słowa kluczowe Tropical geometry moduli spaces stacks logarithmic structures Picard varieties Brill-Noether theory abelian differentials flat surfaces G-admissible covers Program(-y) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Temat(-y) MSCA-IF-2017 - Individual Fellowships Zaproszenie do składania wniosków H2020-MSCA-IF-2017 Zobacz inne projekty w ramach tego zaproszenia System finansowania MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF) Koordynator THE UNIVERSITY OF WARWICK Wkład UE netto € 195 454,80 Adres Kirby Corner Road - University House CV4 8UW Coventry Zjednoczone Królestwo Zobacz na mapie Region West Midlands (England) West Midlands Coventry Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 195 454,80
