## What is a stack?Add to your list(s) Download to your calendar using vCal - Sina Hazratpour
- Tuesday 14 March 2017, 14:00-16:00
- 245, School of Computer Science.
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. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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