For more information about this meeting, contact Svetlana Katok, Anatole Katok.
|Title:||Topological finiteness for submanifolds with prescribed boundary|
|Seminar:||Center for Dynamics and Geometry Seminar|
|Speaker:||Stephanie Alexander, U Illinois at Urbana-Champaign|
|We explain the methods used in our proof that a closed submanifold of codimension 2 in Euclidean space bounds at most finitely many topological types of complete positively curved hypersurfaces. We also consider fillings of arbitrary Riemannian submanifolds. We explain how finiteness can fail if the codimension is too high or the boundary is not sufficiently regular. The methods include Alexandrov spaces of curvature bounded below, convexity constructions, and a relative version of Nash's isometric embedding theorem.
This is joint work with Mohammad Ghomi and Jeremy Wong.|
Room Reservation Information
|Date:||04 / 09 / 2008|
|Time:||03:35pm - 04:35pm|