SMS scnews item created by Haotian Wu at Tue 28 Oct 2025 1156
Type: Seminar
Distribution: World
Expiry: 25 Nov 2025
Calendar1: 7 Nov 2025 1100-1200
CalLoc1: Carslaw 830
CalTitle1: Lafuente -- Expanding Ricci solitons and Higgs bundles
Auth: haotianw@10.17.82.68 (hawu2800) in SMS-SAML

Geometric Analysis Seminar

Expanding Ricci solitons and Higgs bundles

Ramiro Lafuente (University of Queensland)

Location: Carslaw 830

Time: 11:00–12:00, 7 November 2025

Abstract: In this talk I will discuss recent joint work with Adam Thompson in which we construct new families, depending on arbitrarily many parameters, of expanding Ricci solitons starting in dimension 4. These solitons live on vector bundles over Riemann surfaces, and they have nilpotent symmetry in the fibre directions. Their relevance comes from the fact that they describe the asymptotic behavior of Ricci flows (on closed manifolds) that collapse with bounded curvature. The construction involves a dimension-reduction argument to the harmonic-Einstein equation, and a close link with the theory of Higgs bundles.