CRM: Centro De Giorgi
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Geometric Flows and Geometric Operators

course: Geometry of anti-self-dual metrics

speaker: Jeff Viaclovsky (University of Wisconsin, Madison)

abstract: I will begin with some basic notions in 4-dimensional Riemannian geometry in order to define the concept of half-conformally-flat metrics (which are also known as self-dual or anti-self dual metrics), and a generalization of these known as Bach-flat metrics. These equations are elliptic in a suitable gauge, and I will discuss a basic regularity theorem. I will also discuss volume growth and Cheeger-Gromov convergence of such metrics, and discuss some explicit examples.

Mon 8 Jun, 11:45 - 12:45, Sala Stemmi
Tue 9 Jun, 11:45 - 12:45, Sala Stemmi
Wed 10 Jun, 11:30 - 12:30, Aula Mancini
Thu 11 Jun, 11:30 - 12:30, Aula Mancini
Fri 12 Jun, 11:30 - 12:30, Aula Bianchi Scienze
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