University of Birmingham > Talks@bham > Cargo > What is a stack?

What is a stack?

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Sina.

Stacks were first discovered by Alexander Grothendieck in 1960s and they appeared in SGA 1 , Ch VIII for the first time in descent theory. Subsequently, they found application in abstract homotopy theory and later on in Gromov-Witten invariants in string theory. In Geometry they are closely related to moduli spaces. If a moduli space for some problem does not exist because of the existence of automorphisms, it may still be possible to construct a moduli stack.

I will explain why and how one might be interested in stacks from categorical point of view and illustrate few examples of stacks in category theory and topology.

References: [1] Stacks Project: http://stacks.math.columbia.edu/

[2] Vistoli, Angela. Notes on Grothendieck topologies, fibered categories and descent theory

[3] Noohi, Behrang. A quick introduction to fibred categories and topological stacks

[4] Moerdijk, Ieke. Introduction to the language of stacks and gerbes

[5] Fulton, William. Introduction to stacks

This talk is part of the Cargo series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

Talks@bham, University of Birmingham. Contact Us | Help and Documentation | Privacy and Publicity.
talks@bham is based on talks.cam from the University of Cambridge.