Seminar in Real and Complex Geometry
Thursday, January 22, 2025, 16:15-17:45,
online via zoom
Andres Antonio Franco Valiente (University of Berkeley)
ntroduction to Tropical-Topological(Tropological) Sigma Models
Abstract
Gromov-Witten invariants have been historically computed by physicists through the formal use of an infinite dimensional extension of equivariant localization. In this talk, I will review how Gromov-Witten invariants are in principle constructed from this point of view and how Mikhalkin’s theorem which states that Gromov-Witten invariants can be recovered from the tropical limit of pseudoholomorphic curves can also be reformulated in this language in terms of what is known as a tropical topological sigma model. We find that the relevant geometries associated to the tropical limit of the sigma models are no longer related to complex structures but instead based on deformation invariance of nilpotent endomorphisms on singular foliated manifolds.
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