Maxim Stykow

This is a working seminar on the homotopy theory of moduli spaces

In this talk we will describe the underlying construction of the main theorem of Galatius' paper. This main theorem is a generalization of the Pontryagin-Thom construction and establishes a weak homotopy equivalence between the classifying space of a...

Sheaves and their Realization: The goal of this talk is to describe the sheaf model for the infinite loop space of the Thom spectrum. Since the main theorem of Galatius, Madsen, Tillmann, Weiss is that this sheaf model is homotopy equivalent to the...

Sheaves of Categories and the Main Theorem After talking about how a sheaf of categories gives rise to a topological category, I will finish the proof of the main theorem of Galatius, Madsen, Weiss and Tillmann which states that the classifying space...