Algebraic and Arithmetic Geometry Seminar
# Log intersection theory

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Europe/Rome

Aula Seminari (Department of Mathematics)
### Aula Seminari

#### Department of Mathematics

Description

Log structures are “magic powder” that make mildly singular spaces appear smooth. Log schemes literally lie between ordinary schemes and tropical geometry, and are related to Berkovich Spaces. Problems in Gromov-Witten Theory demand intersection theoretic machinery for slightly singular spaces. Log structures have solved similar problems in Hodge Theory, D-modules, Connections and Riemann-Hilbert Correspondences, Abelian Varieties (esp. Elliptic Curves), etc. How can they be used to define a reasonable intersection theory for curve counting on singular spaces? We'll give a product formula as an example of a whole toolkit under development to tackle these types of problems.