The New York City
Category Theory Seminar
Fall 2010

November 3, 2010. Dustin Mulcahey, The Graduate Center, CUNY.
Title: More Homological Algebra for Coalgebras over Comonads
Abstract: We begin with an account of the category of unstable BP comodules.
Certain derived functors of hom over this category give the E_2 term of a spectral sequence that converges to the homotopy groups of the odd spheres. We then look for a change of Ext to a simpler category, and develop some homological algebra over comonads along the way.

October 13, 2010. Andre Rodin, University ParisDiderot.
Title: Objects are maps
Abstract: I analyze a controversy between the “purely logical” notion of object put forward by Frege and Russell and the notion of object developed in the Kantian tradition broadly conceived. Then I specify an aspect of the Kantian view, which remains pertinent for today’s mathematics, and upgrade the original Kantian approach with Category theory.