Logo

Mathematical Sciences Research Institute

Home » AT Postdoc Seminar: Why do algebraic topologists care about categories?

Seminar

AT Postdoc Seminar: Why do algebraic topologists care about categories? March 21, 2014 (01:00 PM PDT - 02:00 PM PDT)
Parent Program: Algebraic Topology
Location: MSRI: Simons Auditorium
Speaker(s) Angelica Osorno (Reed College)
Description No Description

Video
No Video Uploaded
Abstract/Media

The study of category theory was started by Eilenberg and MacLane, in their effort to codify the axioms for homology. Category theory provides a language to express the different structures that we see in topology, and in most of mathematics. Categories also play another role in algebraic topology. Via the classifying space construction, topologists use categories to build spaces whose geometry encodes the algebraic structure of the category. This construction is a fruitful way of producing important examples of spaces used in algebraic topology. In this talk we will describe how this process works, starting from classic examples and ending with some recent work.

No Notes/Supplements Uploaded No Video Files Uploaded