On Wednesday will will have workshops for graduate students and beginning researchers. All are welcome to attend. The workshops will begin at 10 am, have a lunch break, and an afternoon coffee break and end by 5 pm.
Please register for the workshops here. There is no fee for the workshop beyond conference registration.
Continuum Theory Workshop
“Homogeneous continua, and separators in the product of a tree and interval”
The aim of this workshop is to present some of the key ideas involved in our recent proof (joint with Lex Oversteegen) that the only (non-degenerate) homogeneous continua in the plane are the circle, the pseudo-arc, and the circle of pseudo-arcs. This proof involves a detailed analysis of sets which separate the product T x [0,1], where T is a tree. I will describe some concepts we introduced for this analysis, including “simple folds” and “stairwell structures”. Several examples will be worked out in the workshop and in provided exercises.
Dynamical Systems Workshop
Continuous dynamical systems and vector fields. Poincare-Bendixon theorem. Mapping torus and suspension of a homeomorphism to a dynamical system. Examples on a torus: an irrational flow, Denjoy vector field and Denjoy continuum. Abstract manifolds and plug insertion. Wlison’s symmetry and a theorem of Wilson. Aperiodic vector fields on the three dimensional sphere: Schweitzer’s counterexample to the Seifert conjecture and smooth counterexamples. Special sets: limit sets, minimal sets, and attractors. Knots in flows.
Notes for this workshop are based on a lecture series at the Jagiellonian University in Krakow, Fall 2015.
Set-Theoretic Topology Workshop
“Some set-theory that I am glad I know”
The goal of the workshop is to leave you wanting to learn more basic set-theory and to instill confidence that this will advance your research program in general topology. The other goal is to make it enjoyable. We will give informal and practical introductions to a variety of set-theoretic tools that have a major impact on the analysis and study of compact spaces. The morning will focus on combinatorics, elementary submodels, and axioms. The afternoon will expose (make understandableand useful) forcing and illustrate with examples.