Jerusalem Mathematics Colloquium

Thursday, 27th March 2008, 4:00 pm
Mathematics Building, Lecture Hall 2

Matthias Kreck

"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.

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