Title: Directed homotopy theory
Speaker: Sanjeevi Krishnan
Abstract: Directed homotopy theory is a homotopy theory for spaces with some directionality. The original applications of the subject come from studying concurrent computer programs, but the subject has natural applications in other areas, both theoretical and applied. We will give a gentle introduction to the subject, some of those applications to optimization and computer science, and some of the most outstanding problems in the subject.
Note: This is part of the Invitations to Mathematics lecture series given each year in Autumn Semester. Pre-candidacy PhD students can sign up for this lecture series by registering for one or two credit hours of Math 6193 with Professor Nimish Shah.
