Using shape-based methods to analyze biological data
Speaker: Valerie Hower, of Univ. Miami. Tuesday, Dec, 2, SIPA 103, 3.30 pm
Abstract: One can learn topological and geometric information about a complicated space by subdividing it into simple combinatorial pieces: vertices, edges, triangles, tetrahedra, and higher dimensional simplicies. Simplicial complexes are used extensively throughout algebraic topology both for visualization and to aid in computation. Topological Data Analysis (TDA) is relatively new area of applied mathematics which uses these ideas to analyze point clouds (i.e. data sets). I will introduce the basic ideas of TDA and give some examples of its use in biology. I will also include my own work using shape-based methods to analyze next generation sequencing data.