PIRSA:19110059

Bridgeland stability conditions relative to a boundary

Takeda, A. (2019). Bridgeland stability conditions relative to a boundary. Perimeter Institute. https://pirsa.org/19110059

Takeda, Alex. Bridgeland stability conditions relative to a boundary. Perimeter Institute, Nov. 07, 2019, https://pirsa.org/19110059 

          @misc{ pirsa_PIRSA:19110059,
            doi = {10.48660/19110059},
            url = {https://pirsa.org/19110059},
            author = {Takeda, Alex},
            keywords = {Mathematical physics},
            language = {en},
            title = {Bridgeland stability conditions relative to a boundary},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {nov},
            note = {PIRSA:19110059 see, \url{https://pirsa.org}}
          }

Alex Takeda

Mathematical Sciences Research Institute (MSRI)

Talk number
PIRSA:19110059
Collection
Talk Type
Subject
Abstract

In this talk I will present a construction of relative Bridgeland stability conditions that appeared in my work on stability of topological Fukaya categories of surfaces. This construction gives a local-to-global tool for constructing stability conditions. I will explain what technical features of such Fukaya categories render this construction useful in their context, and time allowing discuss the challenges involved in applying these ideas to other contexts such as Bridgeland-Smith type stability conditions and topological Fukaya categories with coefficients.