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.