Special Applied Mathematics Seminar
- Friday, October 30, 2015 from 4:00pm to 5:00pm
- Wilson Hall - view map
Konstantin Mischaikow from Rutgers University will present a special Applied Mathematics Seminar on October 30th, 4:10-5:00
in Wilson Hall 1-144 with the title "Algebraic Topological Tools for High Dimensional Data and the Dynamics of Spatial Structures."
It is almost cliche at this point to note that high dimensional data is being collected from experiments or generated through numerical simulation at an unprecedented rate and that this rate will continue rising extremely rapidly for the foreseeable future. Our interest is in data associated with nonlinear dynamics involving spatial structures. The focus of this talk is on our efforts to use techniques based on algebraic topology as a data reduction tool and as a means of classifying dynamics. The long term goal is to develop robust efficient techniques for comparing experimental work against numerical simulation. I will introduce the necessary mathematical theory and provide examples arising from fluid flow.