In this invited plenary lecture at the conference "The 7th international summer school and conference Chaos 2008: Let's Face Chaos Through Nonlinear Dynamics" (CAMTP, University of Maribor, Slovenia, 29 June-13 July 2008) we discussed some basic topological techniques used in the study of chaotic dynamical systems. The emphasis was on the techniques of modern geometric topology, developed by our project group.
B.04 Guest lecture
COBISS.SI-ID: 14991449A set K in the plane is basic if each continuous function f from K to the real numbers can be expressed as a sum f(x,y) = g(x)+h(y) with g and h continuous functions. Analogously we define a digital set K in the digital plane. Basic subsets of the plane were characterized by Sternfeld and Skopenkov. In this paper we prove a digital analogy of their results. Moreover we explore the properties of digital basic sets, and their possible use in image analysis.
B.04 Guest lecture
COBISS.SI-ID: 14516569Conferences by BIRS in Canada are prestigous meetings of researchers working in very active areas of mathematics and it is a special honour to lecture in front of this audience. We presented new results concerning intersection forms of 4-manifolds bounded by special 3-manifolds obtained as surgeries on a knot. The results are important in invariants of 3-manifolds and form a basis for defining concordance invariant of knots in the framework of Heegaard-Floer theory.
B.03 Paper at an international scientific conference
COBISS.SI-ID: 15172697Our research group has received a worldwide attention for its excellent results, which is also witnessed by many invitations from abroad. In 2009 we were invited by the Brigham Young University, Provo, which is one of the leading centers of geometric topology, for a three week visit. The title of our talk was Combinatorial Approach to Coarse Geometry. The lecture received a great deal of attention and it confirmed our important role in the field of geometric topology and coarse geometry.
B.04 Guest lecture
COBISS.SI-ID: 15179609In this invited talk by dr. Smrekar presented some of the main results of this project concerning quasi-finiteness of all Eilenberg-MacLane complexes and, more generally, CW complexes with finitely many nontrivial Postnikov invariants.
B.04 Guest lecture
COBISS.SI-ID: 14421337