Title: Topological invariants from higher categories
Speaker: Niles Johnson, OSU
Abstract: There is a rich interplay between topological and algebraic strictures. My work focuses on the connection between higher categories and stable homotopy theory. In this talk I will explain a classical calculation of stable pi_1 and pi_2 via Postnikov towers, together with recent progress in developing categorical algebra which models the relevant tools. While working through the calculation, I will explain the use of cohomology operations on the topological side and the role of symmetric monoidal structure on the categorical side.
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 Henri Moscovici.