Vorträge in der Woche 27.07.2020 bis 02.08.2020

Mittwoch, 29.07.2020: Compact ancient solutions to the Ricci flow in dimension 3

Prof. Dr. Simon Brendle (Columbia University)

Ancient solutions are solutions of geometric flows which are defined infinitely far back in time. Ancient solutions play a key role in the study of the Ricci flow. In particular, Perelman showed that any finite time singularity of the Ricci flow in dimension 3 is modeled on an ancient solution which in addition is k -noncollapsed; these are referred to as ancient k -solutions. In 2018, we obtained a complete classification of all noncompact ancient k -solutions in dimension 3. In these lectures, we will discuss recent work with Panagiota Daskalopoulos and Natasa Sesum which gives a complete classification of all compact ancient k -solutions in dimension 3.