The Simons Center for Geometry and Physics is pleased to announce the following talks during the week of Monday, January 12th - Saturday, January 17th
Program Talk: Ronan Conlon
Monday, January 12th at 2:00pm
Speaker: Ronan Conlon
Title: On Finite-Time Singularities of the Ricci Flow on Compact Kähler Surfaces
Abstract: The Ricci flow, introduced by Richard Hamilton in the 1980’s, is a powerful geometric evolution equation that deforms the metric of a Riemannian manifold in a way analogous to heat diffusion. It has proven instrumental in understanding the geometry and topology of manifolds. A rigorous analysis of its behavior at finite time singularities has been key to these applications.
In this talk, I will present joint work with Cifarelli-Deruelle and Hallgren-Ma on the behavior of the Ricci flow on a compact Kahler surface at a non-collapsed finite time singularity.
Program Talk: Lorenzo Foscolo
Tuesday, January 13th at 11:00am in SCGP 313
Speaker: Lorenzo Foscolo
Title: ALC G2–manifolds
Abstract: ALF anti-self-dual gravitational instantons, of which the Taub–NUT and Atiyah–Hitchin metrics are prototypes, are the complete non-compact hyperkähler 4-manifolds with cubic volume growth. Examples have been known since the 1970's, but a complete classification was only given around 10 years ago. In this talk, I will present joint work with Haskins and Nordström where we extend some of these results to complete non-compact 7-manifolds with holonomy G2 and an asymptotic geometry, called ALC (asymptotically locally conical), that generalises to higher dimension the asymptotic geometry of ALF spaces. In previous joint work we produced infinitely many examples of such ALC G2–manifolds. The more recent results I will discuss in the talk include the existence of a G2–analogue of the Atiyah–Hitchin metric and rigidity results for ALC G2–metrics in terms of the symmetries of their asymptotic model.
Program Talk: Paul Tod
Thursday, January 15th at 11:00am in SCGP 313
Speaker: Paul Tod
Title: TBA
Program Talk: Lionel Mason
Thursday, January 15th at 2:00pm in SCGP 313
Speaker: Lionel Mason
Title: TBA