Codes, arithmetic and manifolds

Prof. M. Kreck (Universitaet Bonn)

Friday 5th October, 2012 15:00-16:00 325

Abstract

I will explain the concept of error correcting codes. This is so simple that one wonders why not everything is known. To indicate that this is completely wrong I will explain a relation between so called self dual codes and unimodular lattices, which lead to very difficult problems in analysis. On the way very important lattices like E_8 or the Leech lattice will occur. Thus codes are very complicated. In such a situation it might be of interest if codes occur in a completely different mathematical context. I will describe how codes occur in topology and present results about the question, which codes come from topology. This leads to a new construction of self dual codes. If time permits I will consider codes over the ring of Gaussian integers mod 2, which come from manifolds and are related to abelian varieties.

Add to your calendar

Download event information as iCalendar file (only this event)