# Jerusalem Mathematics Colloquium

Thursday, 15th January 2004, 4:00 pm

Mathematics Building, Lecture Hall 2

The Jerusalem Mathematics Colloquium is happy to host

the first of the three annual LANDAU LECTURES.

##

Professor Jeff Cheeger

(Courant Institute, NYU)

"Collapsed Manifolds with Bounded Curvature"

** Abstract: ** In this first lecture, we will make the assumption that
the full curvature tensor is bounded, say $|R|\leq 1$. The key distinction is
between the not too noncollapsed case, in which a sufficiently small ball can
be shown to look like a ball in $R^n$, and the sufficiently collapsed case,
in which it turns out that $B_{\epsilon(n)}(m)$ looks like an $\epsilon(n)$-tubular
neighborhood of the zero section of a vector
bundle over some (tiny) nilmanifold. If $B_1(m)$ is sufficiently collapsed
for all $m\in M^n$, a coherent collection of nilmanifolds arises, encoding
the essential features of the collapsed geometry.

The other two lectures will be

18th January 2004, 3:00 pm, "Four-dimensional Einstein Manifolds"

19th January 2004, 4:00 pm : "Einstein Manifolds in general"

Light refreshments will be served before each lecture

List of talks, 2003-04

List of talks, 2002-03

List of talks, 2001-02

List of talks, 2000-01

List of talks, 1998-99

List of talks, 1997-98