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American Mathematical Society

This 2-day special session will be dedicated to a range of mathematical problems related to motion planning algorithms and their properties. A central role is played by the notion of topological complexity (TC), which is a homotopy invariant depending only on the configuration space of the robot that can be studied using diverse tools from a variety of fields, such as geometry, topology, algebra, combinatorics, etc. This session will include talks on a variety of topics from algebraic topology, geometric topology, and topological robotics, though most will focus on (sequential) topological complexity, Lusternik–Schnirelmann category, robot motion planning problems, and homotopy invariants related to (or analogous to) sectional category. The session aims to bring together scientists from all over the world working on different aspects of motion planning and TC and foster collaboration among them, expose graduate students and junior colleagues to these rich and fascinating areas of research, and identify directions for future work and interaction in these areas.

Event Organizer;     Email.: ekanshjauhari@ufl.edu

topological complexity, LS-category, sectional category, motion planning, robotics, applied algebraic topology

Géométrie et topologie,    Systèmes, contrôle et automatisation