Sesión Geometría y Teoría de LieExpanding Ricci solitons and Higgs bundles
Ramiro Lafuente
The University of Queensland, Australia - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
In this talk, I will describe new families, depending on arbitrarily many parameters, of complete expanding Ricci solitons (including Einstein metrics) in dimensions 4 and above. These metrics have local isometries with codimension-2 orbits. They arise as limits of Ricci flows on closed manifolds (even without symmetry assumptions). The construction uses a dimension-reduction argument to the so-called harmonic-Einstein equations inspired by work of Lott, and a link between solutions to the latter and the theory of Higgs bundles.
Trabajo en conjunto con: Adam Thompson (Münster).
Referencias
[1] https://arxiv.org/abs/2506.11362