This Thursday at U. Haifa Topology & Geometry seminar on January 3, 2019 at 12:10
Geometry & Topology Seminar
Speaker: Boris Chorny (University of Haifa)
Topic: Recognition of mapping algebras and representability theorems, up to homotopy
Place: room 614 in the Science & Education Building
Date: Thursday, January 3, 2019
A mapping algebra is a space X of the form map(A, Y) for a fixed space A. If A is a sphere, then there are plenty of different approaches allowing to determine whether a space X is an (n-fold) loop space and to find Y. Unfortunately these methods do not admit generalizations for more general spaces than (wedges of) spheres. We argue that the generalized question of recognition of mapping spaces becomes a question on the representability of certain functor, up to homotopy. In this talk we will formulate and outline the proof of the analog of Freyd and Brown representability theorems, up to homotopy.
Joint work with David Blanc.