Invitations to Mathematics - Niles Johnson

August 14, 2019
Wednesday, October 9, 2019 - 4:05pm to 5:35pm
Cockins Hall 240
photo of Niles Johnson

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.

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 Henri Moscovici.

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