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Archive for February, 2010

Poincaré Duality Complexes

Thursday, February 18th, 2010

24nd February 2010, 1500 MC206

Dr. Béatrice Bleile

from

UNE

will speak on

Poincaré Duality Complexes

Poincaré duality complexes are homotopy generalisations of manifolds. This talk will provide a brief introduction and an overview of results and open questions concerning Poincaré duality complexes in low dimensions.

Integrable systems: noncommutative versus commutative

Thursday, February 18th, 2010

22nd February 2010, 1400 MC206

Professor Cornelia Schiebold

from

Mid Sweden University

will speak on

Integrable systems: noncommutative versus commutative

After a general introduction to integrable systems, we will explain an approach to their solution theory, which is based on Banach space theory. The main point is first to shift attention to noncommutative integrable systems and then to extract information about the original setting via projection techniques. The resulting solution formulas turn out to be particularly well-suited for the qualitative study of certain solution classes. We will show how one can obtain a complete assymptotic description of the so called multiple pole solutions, a problem that was only treated for special cases before.

Holomorphic and meromorphic extension on complex spaces

Thursday, February 18th, 2010

19th February 2010, 1500 MC206

Professor Egmont Porten

from

Mid Sweden University

will speak on

Holomorphic and meromorphic extension on complex spaces

The famous Hartogs extension theorem belongs to the first important results in the beginning of several complex variables. After early attempts to prove the theorem by geometrical methods, most of the known generalizations were obtained by techniques. In this talk I will explain how to give a complete proof by Morse theoretic methods and how this argument can be adapted to derive the theorem in the before open case of (n-1)-complete normal complex spaces. The result was obtained in joint work with Joel Merker.