Jerusalem Mathematics Colloquium
Thursday, 7 May 1998, 4:00 pm
Mathematics Bldg., lecture hall 2
Marina Ville (Ecole Polytechnique)
"Minimal surfaces, pseudo-holomorphic curves and al."
Abstract:
One of the beautiful features of geometry in the complex projective
plane CP2 is the interplay between the metric and the complex
structures: for instance, complex curves in CP2 minimize the
area in their homology class.
So, analogues of these complex curves in a more general manifold will be
of two kinds. First, in an almost complex manifold:
we have the theory of pseudo-holomorphic curves. These objects,
previously almost ignored, became very important
with Gromov's groundbreaking work on symplectic topology.
On the other hand, so to speak "metric analogues" of complex
curves in CP2, namely area-minimizing surfaces,
minimal surfaces etc... have been intensively studied for quite a few
decades. And yet many basic questions remain unanswered.
We will ask: given a pseudo-holomorphic curve, a minimal
surface ... how much does it look like an honest complex curve
in CP2?
Coffee, Cookies at the faculty lounge at 3:30.
"After colloquium coffee chat": after the colloquium, in Beit-Belgia.
List of talks, 1997-98