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The Telescope conjecture for algebraic stacks

Banff International Research Station for Mathematical Innovation and Discovery

Let T be a triangulated category. A basic question is the classification of the triangulated subcategories of T. The interest in this question stemmed from the work of Hopkins who connected it to the Telescope conjecture in algebraic topology. Over the last two decades, spurred by work of Neeman, there has been interest in this from the perspective of algebraic geometry. Most recently, this has been considered by Antieau, Stevenson, Balmer-Favi and Dubey-Mallick. I will discuss some recent work with Rydh that allows us to classify subcategories in the equivariant setting and, more generally, for stacks.

Mathematics; Category theory; homological algebra; Algebraic structures

video/mp4

Author affiliation: The Australian National University

2016-12-21

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/60057

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/