Inhaltsverzeichnis - Mathematisches Institut der Universität zu Köln

DMV Tagung 2011 - Köln, 19. - 22. September
Karim Adiprasito
Freie Universität Berlin
Inducing Discrete Morse Functions and Collapsibility of Spaces of Bounded Curvature
We present a new way to induce a Morse matching given a polyhedral complex and a real function on it.
This procedure comes with a natural formula for critical points, and implies strong collapsibility results for
spaces of curvature bounded above.
(Joint work with Bruno Benedetti.)
Maria Hernandez Cifre
Universität Murcia
Coverings and compressed lattices
Pavle V. M. Blagojević
Freie Universität Berlin
On the Trail of Topological Tverberg Conjecture
The topological Tverberg conjecture, posed by Bárány, Shlosman and Szücs in 1981, still open in the
case of non prime powers, is one of the most challenging and resistent open problems in the Geometric
Combinatorics. In this talk, seeking the proof of the topological Tverberg conjecture, we reveal hidden
ideas and open problems standing behind recent results of Blagojević, Matschke and Ziegler.
Hartwig Bosse
Goethe-Universität Frankfurt am Main
t.b.a.
René Brandenberg
Technische Universität München
k-Center, Core-Sets, and Successive Radii – Dimension Reduction in Computational Discrete
Geometry
In recent years new techniques in solving euclidean k-center problems were obtained. We present some
positive and negative results for the general problem. The latter using some new geometric inequalities
in the line of Jung’s theorem.
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