course: Prescribing symmetric functions of the eigenvalues of the Ricci tensor

speaker: Matthew Gursky (Notre Dame University)

abstract: We will introduce a problem from conformal geometry, that of prescribing symmetric functions of the eigenvalues of the Ricci tensor of a conformal metric. In the first talk, I will outline the basic problem, then briefly discuss some important technical notions such as ellipticity. After surveying a few important results in the field, I will talk about some recent work with J. Viaclovsky in which we give a fairly general existence theorem.

In the second talk I will explain some applications of these equations to global problems in Riemannian geometry, including Ricci curvature pinching and "sphere" theorems.

timetable:
Thu 21 Oct, 10:00 - 11:15, Sala Conferenze Centro De Giorgi
Fri 22 Oct, 11:15 - 12:15, Sala Conferenze Centro De Giorgi
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