Colloquium
3:30 p.m., Friday
Math 100
Professor Daniel Pollack
Department of Mathematics
University of Washington
Surfaces of constant mean curvature in \Bbb R^3
Surfaces with nonzero constant mean curvature in \Bbb R^3
(``CMC surfaces'') have been a central topic of study in both
classical and modern differential geometry. The first part of
this talk will be a brief introduction to CMC surfaces.
We will then describe recent joint work with Rafe Mazzeo and
Frank Pacard which establishes a general gluing construction
for CMC surfaces. This allows one to glue together CMC surfaces
provided a natural nondegeneracy condition is satisfied.
The method of proof is to study certain boundary value
problems for the mean curvature operator.
We will give an explanation of the construction and its
application to the existence of both compact CMC surfaces
with boundary and noncompact, embedded CMC surfaces.
Refreshments will be served in Math Annex Room 1115, 3:15 p.m.
