Yavar Abdolmaleki Graduate Seminar Hosted by Math Stats-FR
Yavar Abdolmaleki will speak on:
Abstract: The primary concern of Morse theory is the relation between spaces and functions. The center of interest lies in how the critical point of a function defined on a space affects the topological shape of the space, and conversely, how the shape of a space controls the distribution of critical point of a function.
Morse theory of finite- dimensional manifold is a powerful tool for the topology of manifolds, and offers a unified method to visualize manifold with theoretical eyes. In this talk, we fist introduce fundamental concepts such as critical points, the Hessian, and local structure of Morse functions, and then handle decompositions of Morse functions are discussed. When we said that Morse theory offers a unified method to visualize manifold, we had handle-bodies in mind
Thursday, Dec. 11, 2014 – 3:30 p.m.
in Tilley Hall, Room 404
Building: Tilley Hall
Room Number: 404
1 506 458 7376