Student Homotopy Theory Seminar

Simplicial sets originate as combinatorial models for topological spaces, extending the more geometric notion of simplicial complexes. Since then, they have become a powerful tool in not only algebraic topology but also related subjects such as algebraic geometry.

In this talk, we introduce the basics of simplicial sets. We give the basic definition and introduce some examples of simplicial sets, following a unified method of constructing them. We will also briefly discuss the homotopy theory on simplicial sets, and finally, if time permits, survey a couple applications of simplicial methods. Speaker(s): Ruian Chen (UM)