Tuesday November 19th, 2024 | |
| Time: | 4:00 PM - 5:15 PM |
| Title: | Intrinsic volumes in Riemannian and Alexandrov geometry |
| Speaker: | Semyon Alesker, Tel Aviv University |
| Location: | P-131 |
| Abstract: | |
| Intrinsic volumes are invariants of compact smooth Riemannian manifolds, possibly with corners.These invariants play a significant role in convex geometry and include the volume, Euler characteristic, and the integral of scalar curvature (the latter for closed manifolds). We discuss several conjectures regarding their behavior under Gromov-Hausdorff convergence, particularly when sectional curvature is bounded from below, and their potential extension to Alexandrov spaces. Although these conjectures remain largely open, we review various known special cases. | |