University of California, Irvine
Department of Mathematics
Differential Geometry Seminar
Spring 2004 , MSTB 254, Tuesdays 4-5pm
Previous Seminars | Future Seminar
| Date | Time & Location | Speaker | |
| TUESDAY (April 13) |
4:00PM in MSTB 254 |
Emma Camberry (MSRI) |
Special Lagrangian T^2-cones in C^3 |
| TUESDAY (April 20) |
4:00PM in MSTB 254 |
Erxiao Wang (MSRI) |
Harmonic tori in spheres |
| TUESDAY (May 4) |
2:00PM in MSTB 254 (Joint with UCSD) |
Ben Chow (UCSD) |
Ricci Flow and Fukaya Theory in Dimension Three |
| TUESDAY (May 4) |
4:00PM in MSTB 254 |
John Lott (U. Michigan and MSRI) |
Notions of generalized Ricci curvature |
| TUESDAY (May 25) |
4:00PM in MSTB 254 |
Jiaping Wang (Minnesota) |
Green's form estimates and applications |
Special Lagrangian 3-folds are of interest in mirror symmetry, and in particular play an important role in the SYZ conjecture. One wishes to understand the singularities that can develop in families of these 3-folds; the relevant local model is provided by special Lagrangian cones in complex 3-space. When the link of the cone is a torus, there is a natural invariant g associated to the cone, namely the genus of its spectral curve. We show that for each g there are countably many real (g-2)-dimensional families of such special Lagrangian cones.
We consider collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature. Such sequences may arise from dilating about infinite time singularities. For finite time singularities no collapse can occur by a result Perelman. Using Fukaya theory, we study some geometric (not topological) aspects of such collapse. When the limit solution is 1-dimensional we construct a virtual 2-dimensional rotationally symmetric limit. This is joint work with David Glickenstein and Peng Lu.