Analysis Seminar: Anastasia Frolova
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Speaker: Anastasia Frolova, PhD student, Mathematical Department, UiB.
Title: Quadratic differentials, graphs and Stasheff polyhedra
Abstract: We give a short overview of properties of rational quadratic differentials, which give solutions to certain problems in potential and approximation theory. An important problem in this context is to characterize and describe quadratic differentials with short trajectories. For this purpose we introduce a graph representation of rational quadratic differentials with one pole and classify graphs corresponding to quadratic differentials with short trajectories. We show connection between the graphs and Stasheff polyhedra, which leads to the description of the combinatorial structure of the set of quadratic differentials with short trajectories.
Title: Quadratic differentials, graphs and Stasheff polyhedra
Abstract: We give a short overview of properties of rational quadratic differentials, which give solutions to certain problems in potential and approximation theory. An important problem in this context is to characterize and describe quadratic differentials with short trajectories. For this purpose we introduce a graph representation of rational quadratic differentials with one pole and classify graphs corresponding to quadratic differentials with short trajectories. We show connection between the graphs and Stasheff polyhedra, which leads to the description of the combinatorial structure of the set of quadratic differentials with short trajectories.
29.04.2015