Online seminar, U. Haifa Topology & Geometry seminar on May 30, 2021
A recording of the talk is available here.
Topology & Geometry Seminar
Speaker: Yuri Sulyma, Brown University
Topic: Floor, ceiling, factorials, and K-theory
Place: This is an online seminar. Please email David Blanc “blanc at math dot haifa dot ac dot il” for the Zoom ID and password.
Date: Sunday, May 30, 2021
One interpretation of homotopy theory is that it is an enhanced version of arithmetic which “remembers” combinatorics and symmetry. I will demonstrate this philosophy concretely by explaining several situations where the floor and ceiling functions appear: Legendre’s formula and its q-analogue; representation theory of S^1; K-theory of truncated polynomial algebras; and equivariant homotopy theory. I will also give some observations and conjectures on how these examples are all related.