|ODELJENJE ZA MATEMATIKU
MATEMATIČKOG INSTITUTA SANU
PROGRAM ZA SEPTEMBAR 2016.
UTORAK, 06.09.2016. u 14:15, Sala 301f, MI SANU, Kneza Mihaila 36
Ivan Limonchenko, Steklov Mathematical Institute of the RAS
TORIC SPACES AND SIMPLE POLYTOPES
Topological spaces with a compact torus action have been of great importance
and interest in algebraic topology, complex, symplectic and algebraic geometry for several decades, motivating new theoretical constructions and
providing numerous examples on which the general theory can be worked out
explicitly. In their pioneering work of 1991 M. Davis and T. Januszkiewicz
introduced the notion of a quasitoric manifold - a topological model for an
algebraic toric manifold - as a space with a locally standard torus action
whose orbit quotient is a simple polytope. Their work was intensively developed and expanded upon by V. Buchstaber, M. Masuda, T. Panov and N.
Ray into what has become a whole new area of study, Toric Topology. Toric
methods in algebraic topology are based on the notion of a moment-angle-complex and its generalization - a polyhedral product space.
In my talk an introduction to toric topology from the viewpoint of topology
and combinatorics of polyhedral products will be given. I’ll show how toric
geometry and topology work in solving classical problems and state some
problems which are now opened in toric topology itself.
Odeljenje za matematiku je opsti matematicki seminar namenjen sirokoj publici. Predavanja su prilagodjena matematicarima i onima koji zele da to postanu.
Zoran Petric, Odeljenje za matematiku Matematickog instituta SANU