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A Thurston compactification for stability conditions

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Speaker: 
Anand Deopurkar
Organiser(s): 
Mirko Mauri (MPIM)
Affiliation: 
Mathematical Sciences Institute, Australian National University
Date: 
Tue, 18/05/2021 - 09:30 - 10:30

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

Zoom link: https://zoom.us/j/93226704286?pwd=TjdVN2FMM3duMFloNndzTG44S3R2Zz09
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. 

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