UNAM

Homological stability and curves on del-Pezzo surfaces

Ponente: Phil Tosteson
Institución: Universidad de Chicago
 Tipo de Evento: Investigación
Cuándo 02/06/2022
de 13:00 a 14:00
Dónde En linea (zoom)
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Let X be a projective variety, and C be an algebraic curve. The topological problem of computing the homology of the space of
algebraic maps from C to X, is analogous to the arithmetic problem of counting rational points on X. I will talk about the history of this
problem, its connection to the topology of loop spaces, and joint work with Ronno Das considering the case where X is a del Pezzo surface (or
more generally a blowup of projective space at a finite set of points).Homological stability and curves on del-Pezzo surfaces