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Coupled pluriclosed flow with Mario Garcia-Fernandez

This is a past event.

Friday, December 1, 2023 at 9:45am

DM - Deuxieme Maison, 110
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199

Speaker: Mario Garcia-Fernandez (Universidad Autónoma de Madrid)

Abstract: In this talk I will overview ongoing joint work with J. Streets and R. Gonzalez Molina, about a natural generalization of pluriclosed flow. The coupled pluriclosed flow is a parabolic system of evolution equations for pairs (\omega,h), where \omega is a hermitian metric on a compact complex manifold X and h is a metric on a holomorphic vector bundle V over X. Flow lines are special solutions of the generalized Ricci flow on a transitive courant algebroid, and hence of the renormalization group flow in heterotic sigma models, and relate to the standard pluriclosed flow via dimensional reduction. When X is a Calabi-Yau manifold, stationary points of the flow are given by solutions of the Hull-Strominger system.

Event Type

Academics, Lectures & conferences

Audience

Faculty & Staff

Tags

GEOMETRY AND TOPOLOGY

Department
Department of Mathematics and Statistics
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