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Stability conditions and cluster varieties

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

April 01, 2016 (04:00 PM PDT - 05:00 PM PDT)
Speaker(s): Tom Sutherland (University of Lisbon)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • quivers

  • quiver representations

  • algebraic combinatorics

  • Representation theory

  • category theory

  • Jacobi algebra

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

14493

Abstract

We will study the geometry of cluster varieties from the perspective of stability conditions on the associated Calabi-Yau-3 triangulated category.  I will focus on ideas introduced by Gaiotto-Moore-Neitzke which suggest how to produce cluster coordinates from stability conditions.   In particular we will consider the class of examples associated to triangulations of marked bordered surfaces for which the cluster variety is a moduli space of rank 2 local systems and the space of stability conditions is a space of quadratic differentials with prescribed singularities on an associated closed surface

Supplements
25701?type=thumb Sutherland Notes 215 KB application/pdf Download
Video/Audio Files

14493

H.264 Video 14493.mp4 365 MB video/mp4 rtsp://videos.msri.org/data/000/025/650/original/14493.mp4 Download
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