Title	Convex Hulls of Trajectories
Creator	Kaihnsa, Nidhi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-06-02T10:20
Description	I will talk about the convex hulls of trajectories of polynomial dynamical systems. Such trajectories also include real algebraic curves. The main problem is to describe the boundary of the resulting convex hulls. The motivation to describe these convex hulls comes from attainable region theory in chemistry, where taking convex combinations of points corresponds to mixing results of reactions. We stratify the boundary into families of faces comprised of patches. We define patches using the notion of normal cycles from integral geometry. I will discuss the numerical algorithms we developed for identifying these patches. This is a joint work with Daniel Ciripoi, Andreas Loehne, and Bernd Sturmfels.
Extent	36.0 minutes
Subject	Mathematics; Mathematical logic and foundations; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Brown University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-11-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395100
URI	http://hdl.handle.net/2429/76617
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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