Department of Mathematics

Summer School

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matematica

SUMMER SCHOOL - Tropical insights in algebraic geometry and moduli theory

SinG School in Geometry-Trento
1 September 2025 - 5 September 2025
Economics Building, Via Inama 5, Trento
Aula 1C at Dipartimento di Economia, via Inama 5, 38122 Trento (TN)
Reservation required
Organizer: Dipartimento di Matematica
Target audience: University community
Referent: Claudio Fontanari
Contacts: 
Staff of the Department of Mathematics
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matematica
Speaker: Lucia Caporaso, Università Roma Tre - Gavril Farkas, Humboldt Universität Berlin - Sam Payne, University Texas Austin

From its introduction in the early 90s, tropical geometry has provided an ample variety of applications in several areas of mathematics. Initially motivated by computer science, this discipline has found its maximal expression in the realm of algebraic geometry. In this perspective, the goal of tropical geometry is to transform questions regarding algebraic varieties into combinatorial problems: there is a process, called tropicalization, that associates a polytope to any algebraic variety in such a way that the geometry of the latter is reflected in the combinatorial properties of the former. 

The aim of the school is to introduce researchers in algebraic geometry to tropical geometry, not only for the sake of the subject itself, but also to provide efficient tropical tools that can be applied in other areas of algebraic geometry, with a special attention to moduli spaces.