# Jerusalem Mathematics Colloquium

Thursday, 27th March 2008, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Matthias Kreck

(Bonn)

"Codes, 3-manifolds and arithmetic"

** Abstract: **I will start the lecture by defining codes and explaining
their basic idea. Then I will explain how manifolds on
which an involution with finitely many fixed points acts
give a code. Applying this to 3-dimensional manifolds
gives particularly interesting codes: Self dual codes. I
will explain that these codes are very special
since they lead to unimodular lattices. An obvious
question is which self dual codes come from 3-manifolds.
In joint work with Volker Puppe we give a complete answer.
Finally I will define a geometric condition for
3-manifolds with such an involution which leads to so
called doubly even codes.

Light refreshments will be served in
the faculty lounge at 3:30.

List of talks, 2007-08

Archive of talks