Wednesday, April 17, 2019
Time | Items |
---|---|
All day |
|
4:00pm |
04/17/2019 - 4:15pm Abstract: The local to global study of geometries was a major trend of 20th century geometry, with remarkable developments achieved particularly in Riemannian geometry. In contrast, in areas such as pseudo-Riemannian geometry, familiar to us as the spacetime of relativity theory, and more generally in pseudo-Riemannian geometry of general signature, surprising little is known about global properties of the geometry even if we impose a locally homogeneous structure. In this colloquim, I plan to discuss two topics. Global geometry : Existence problem of compact manifolds modelled locally on homogeneous spaces, and their deformation theory. Spectral analysis : Construction of periodic eigenfunctions for the (indefinite) Laplacian, and stability question of eigenvalues under deformation of geometric structure Location:
LOM 215
12 Hillhouse Avenue
New Haven, CT
06520
|