Special Session at the Fall Eastern Sectional Meeting of the AMS
New York, NY, November 4-5, 2000, Columbia University
Organizers:
Xiaochun Rong (Rutgers University) rong@math.rutgers.edu
Christina Sormani (Lehman College, CUNY) sormanic@member.ams.org
Presentation Information:
How to Present a Paper . Speakers will have 40 minutes each with 5 minute
breaks and must use transparencies.
Description:
In recent years the study of Riemannian manifolds, sequences of Riemannian manifolds and the limits of such sequences has had great success. Under various curvature bounds, it has been shown that certain properties, both topological and geometric, are conserved when taking limits of manifolds. New examples of manifolds and their limit spaces have been constructed. New questions about the properties of the limit spaces have been raised. There will be speakers who have recently completed work in this area presenting their work and proposing further questions.
Speakers:
| Stephanie Alexander*, Richard Bishop | University of Illinois at Urbana-Champaign | A class of generalized convex functions and its relation to warped products. |
| Jianguo Cao | University of Notre Dame | Kahler parabolicity and the Euler number of compact manifolds of non-positive sectional curvature. |
| J. Cheeger | Courant Institute, N.Y.U | Differentiability of Lipschitz functions on metric measure spaces |
| F. Fang | Nankai University | The second twisted Betti number and the strong convergence of collapsing Riemannian manifolds. |
| S. Ferry*, Alexander N Dranishnikov | Rutgers University, New Brunswick | Pushing manifolds together in Gromov-Hausdorff space |
| E. Hunsicker*, Rafe Mazzeo | Lawrence University | A Sheaf Perspective on $L^2$ Harmonic Forms |
| M. Kerr | Wellesley College | A deformation of noncompact Einstein solvmanifolds |
| J. Lott | University of Michigan | Differential Forms, Spinors and Bounded Curvature Collapse. |
| Guofang Wei*, Christina Sormani | U.C. Santa Barbara | Hausdorff Convergence and Universal Covers |
| B. Wilking | University of Pennsylvania | On fundamental groups of manifolds of nonnegative curvature |
| J-Y. Wu | National Chung Cheng University | Curvature, momentum and variance |
| T. Yamaguchi | Kyushu University | Collapsing 4-manifolds under a lower curvature bound |
| Wolfgang Ziller*, Christoph Boehm, McKenzie Wang, | University of Pennsylvania | A variational approach for homogeneous Einstein metrics. |
Background Material for Graduate Students: