Introduction

In this course we are studying various topics in the simplicial homotopy theory. This semester we will discuss the theory of derived functors of non-additive functors. After a brief reminder of a classical theory of derived functors, we will follow the seminal paper of Dold and Puppe on the topic. Relation to homology of symmetric powers and Eilenberg-Maclane spaces will be discussed as well. If time permits, we will also look at the general theory of derived functors in an abstract homotopy-theoretical context.

Audience

Graduate

Lecturer Intro

I'm working in simplicial homotopy theory and its applications in path homology and homological algebra related to groups and Lie algebras. I'm also interested in applications of deep learning in contemporary mathematics.