talk by L. Alvarez-Consul

[Ugo Bruzzo]

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SISSA GEOMETRY AMD MATH PHYS SEMINARS
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Professor Luis Alvarez-Consul (ICMAT Madrid) will give a talk on

Coupled equations for Kähler metrics and Yang-Mills connections

on Wednesday, October 5, at 2:30 pm in room 136 (SISSA building
A, first floor).

Abstract: We study equations on a bundle over a compact complex manifold coupling a connection on the bundle with a Kähler structure on the base. These equations generalize the conditions of constant scalar curvature for a Kähler metric and Hermite-Yang-Mills for a connection. We provide a moment map interpretation of the equations and study obstructions for the existence of solutions, generalizing the Futaki invariant, the Mabuchi K-energy and geodesic stability. We finish by giving some examples of solutions. This is joint work with Mario Garcia-Fernandez and Oscar Garcia-Prada (arXiv:1102.0991 [math.DG]).