Zapraszamy na seminarium Instytutu Matematyki Stosowanej i Mechaniki UW organizowane we współpracy z Warszawskim Oddziałem Polskiego Towarzystwa Matematycznego, 26 LISTOPADA O 14:30

Speaker: Dr Paweł Dłotko,

Dioscuri Centre in Topological Data Analysis, Mathematical Institute of Polish Academy of Sciences

Title: Invitation to applied and computational topology.

Zoom Meeting:
https://us02web.zoom.us/j/89987350877

Abstract: For many years the main tools of applied mathematics were restricted to differential equations and theory of dynamical systems. However in the last twenty years we witness an explosion of combinatorial, geometrical and topological ideas applied to very different areas of science. In this talk I will introduce two main
working horses of applied topology: persistent homology and mapper algorithm. I will show how they can be obtained from discrete collections of points P and how they can be used to understand the shape of P. The talk will be illustrated with examples of applications of presented tools in very different branches of physical, medical and
social sciences. I will also present the main computational challenges and problems in the interface of topology and statistics/ machine learning.