Department of

Mathematics


Seminar Calendar
for events the day of Monday, February 5, 2018.

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Monday, February 5, 2018

2:00 pm in 241 Altgeld Hall,Monday, February 5, 2018

Lower hyperbolic rank rigidity of quarter-pinched manifolds

Christopher Connell (Indiana University)

Abstract: A Riemannian manifold M has higher hyperbolic rank if every geodesic has a perpendicular Jacobi field making sectional curvature -1 with the geodesic. If in addition, the sectional curvatures of M lie in the interval [−1,−1/4], and M is closed, we show that M is a locally symmetric space of rank one. This partially extends work by Constantine using completely different methods. It is also a partial converse to Hamenst\"{a}dt's hyperbolic rank rigidity result for sectional curvatures at most −1, and complements well-known results on Euclidean and spherical rank rigidity. This is joint work with Thang Nguyen and Ralf Spatzier.

4:00 pm in 245 Altgeld Hall,Monday, February 5, 2018

To Be Announced

Vadim Zharnitsky   [email] (Department of Mathematics, University of Illinois at Urbana-Champaign)