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Speaker: Nidhi Kaihnsa, Max Planck Institute for Mathematics in the
Sciences, Leipzig.

Time: Tuesday, December 04, 2018, 5-6:15pm.

Venue: Ramanujan Hall.

Title: Computing Convex Hulls of Trajectories.

Abstract: I will talk about the convex hulls of trajectories of polynomial
dynamical systems. Such trajectories also include real algebraic curves.
The boundary of the resulting convex bodies are stratified into families
of faces. I will discuss the numerical algorithms we developed for
identifying these patches of faces. This work is also a step towards
computing the attainable region of a trajectory. This is a joint work with
Daniel Ciripoi, Andreas Loehne, and Bernd Sturmfels.

Nidhi Kaihnsa, Max Planck Institute for Mathematics in the Sciences, Leipzig