Abstract:
Ricci curvature is ubiquitous in mathematics: it appears in Hamilton's Ricci
flow (a key tool in Perelman's resolution of the Poincaré conjecture), as
well as in Einstein's equations of general relativity. Understanding its
interplay with the global shape of Riemannian manifolds has been one of
the key broad themes in geometric analysis since its early developments.
While this interplay is well understood for manifolds with dimensions less
than or equal to 3, several questions remain in dimensions 4 and higher.
After a gentle introduction to Ricci curvature, I will discuss some recent
results and possible future directions in this area.
The shape of manifolds with nonnegative Ricci curvature
26.11.2025 14:45 - 17:00
Organiser:
Fakultät für Mathematik, Dekan Radu Ioan Boţ
Location: