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Scattering diagrams from stability conditions

Hot Topics: Cluster algebras and wall-crossing March 28, 2016 - April 01, 2016

March 30, 2016 (10:00 AM PDT - 11:00 AM PDT)
Speaker(s): Tom Sutherland (Johannes Gutenberg-Universität Mainz)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • quivers

  • algebraic combinatorics

  • quiver representations

  • Representation theory

  • category theory

  • Jacobi algebra

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14484

Abstract

Stability conditions on triangulated categories allow us to define moduli spaces of objects in the category which undergo wall-crossing as the stability condition varies.   We will consider certain Calabi-Yau-3 triangulated categories whose space of stability conditions has a wall-and-chamber structure which "categorifies" mutation in a corresponding cluster algebra.  Following a recent article of Bridgeland I will show how to enhance this wall-and-chamber structure to a scattering diagram which in certain cases coincides with the scattering diagram associated to the cluster algebra by Gross-Hacking-Keel-Kontsevich

Supplements
25692?type=thumb Sutherland Notes 286 KB application/pdf Download
Video/Audio Files

14484

H.264 Video 14484.mp4 384 MB video/mp4 rtsp://videos.msri.org/data/000/025/627/original/14484.mp4 Download
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