CARMA OANTS Seminar: Projections in geodesic metric spaces

Host Institution:

University of Newcastle CARMA (V205)

Title of Seminar:

Projections in geodesic metric spaces

Speaker's Name:

Professor Brailey Sims

Speaker's Institution:

School of Mathematical and Physical Sciences, The University of Newcastle 

Time and Date:

Monday 1 July, 3.30pm AEST

Seminar Abstract:

Geodesic metric spaces provide a setting in which we can develop much of nonlinear, and in particular convex, analysis in the absence of any natural linear structure. For instance, in a state space it often makes sense to speak of the distance between two states, or even a chain of connecting intermediate states, whereas the addition of two states makes no sense at all.

We will survey the basic theory of geodesic metric spaces, and in particular Gromov's so called CAT(κ) spaces. And if there is time (otherwise in a later talk), we will examine some recent results concerning alternating projection type methods, principally the Douglas--Rachford algorithm, for solving the two set feasibility problem in such spaces.

All welcome to attend. A list with the upcoming and previous talks is available at http://carma.newcastle.edu.au/pdf/oants.pdf

Seminar Convener:

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