Stockholm: Discrete Morse Theory and Commutative Algebra

Summer School
Discrete Morse Theory and Commutative Algebra
July 18 – August 1, 2012 at Institut Mittag Leffler, Stockholm, Sweden
Organized by Bruno Benedetti and Alexander Engström.
The summer school will focus on recent developments in combinatorial topology and discrete geometry, with an emphasis on the interaction with toric geometry and commutative algebra. A promising contemporary method for getting simple explicit descriptions of topological spaces is discrete Morse theory. Its applications range from real world problems, such as shape recognition, to theoretical studies of topological spaces, which encode important invariants from algebra, geometry and topology.
Program participants will learn how to use these state-of-the-art tools to investigate a variety of topics such as: complements of hyperplane arrangements, resolutions of monomial and toric ideals, knots in triangulated manifolds, metric structures on simplicial complexes, spaces realizing desired cohomology rings, and topological representations of matroids.
Practical information:
Free accommodation and meals are provided. Visitors are responsible to pay for their own travel costs to and from Djursholm/Stockholm, Sweden. However, the Institute has some limited funds available to assist those visitors whose home institutions or research grants cannot pay for their travel costs. Please let us know as soon as possible if you need travel support.
Apply at latest by April 15, 2012 at http://www.mittag-leffler.se/summer2012/summerschools/discrete_morse_theory/.