A Thurston compactification for stability conditions

Speaker:

Anand Deopurkar

Organiser(s):

Mirko Mauri (MPIM)

Affiliation:

Mathematical Sciences Institute, Australian National University

Date:

Tue, 18/05/2021 - 09:30 - 10:30

Parent event:

Workshop "Compactifications of stability manifolds" [2]

Website: https://sites.google.com/view/mpim-workshop-compact-stab [3]

Zoom link: https://zoom.us/j/93226704286?pwd=TjdVN2FMM3duMFloNndzTG44S3R2Zz09 [4]
Meeting ID: 932 2670 4286
Zoom password: 60*23*73 (with no stars)

There is a fascinating parallel between curves on a surface and objects in a triangulated category. This parallel allows us to transfer intuition, techniques, and theorems between the two seemingly distant worlds. I will explain a construction (joint with Asilata Bapat and Tony Licata) of the space of Bridgeland stability conditions on a suitable triangulated category, motivated by the Thurston compactification of the Teichmuller space.