Ομιλήτρια : Prof. Παναγιώτα Δασκαλοπούλου (Columbia University)
Ημερομηνία, ώρα : Τετάρτη 08 Ιανουαρίου 2025, 13:30
Τοποθεσία : Αίθουσα Σεμιναρίων του Τομέα Μαθηματικών ΣΕΜΦΕ, κτ. Ε ‘, 2ος όροφος.
Τίτλος : “Ancient Solutions to geometric flows and singularities”.
Περίληψη : “Some of the most important problems in partial differential equations are related to the understanding of singularities. This usually happens through a blow up procedure near the potential singularity which uses the scaling properties of the equation. In the case of a parabolic equation the blow up analysis often leads to special solutions which are defined for all time $- \infty < t \leq T$, for some $T \leq +\infty$. We refer to them as {\em ancient} solutions. The classification of such solutions often sheds new insight to the singularity analysis.
In this lecture we will discuss Uniqueness Theorems for ancient compact solutions to parabolic PDE, in particular to geometric flows such as the Ricci flow and Mean curvature flow“.