PIRSA:13100119 Conference

DOI10.48660/13100119

Conference/School: Physics Around Mirror Symmetry

Soibelman, Y. (2013). Wall-crossing structures. Perimeter Institute. https://pirsa.org/13100119

Soibelman, Yan. Wall-crossing structures. Perimeter Institute, Oct. 23, 2013, https://pirsa.org/13100119 

@misc{ pirsa_PIRSA:13100119,
  doi = {10.48660/13100119},
  url = {https://pirsa.org/13100119},
  author = {Soibelman, Yan},
  keywords = {},
  language = {en},
  title = {Wall-crossing structures},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {oct},
  note = {PIRSA:13100119 see, \url{https://pirsa.org}}
}

Abstract

The concept of wall-crossing structure (WCS for short) was introduced recently in my joint work with Maxim Kontsevich. WCS appear in different disguises in the theory of Donaldson-Thomas invariants of Calabi-Yau 3-folds, quiver representations,integrable systems of Hitchin type, cluster algebras, Mirror Symmetry, etc.
I plan to discuss the definition of WCS and illustrate it in several well-known examples. If time permits I will speak about a special class of WCS called rational WCS. It gives rise to wall-crossing formulas with factors which are algebraic functions. Conjecturally such WCS appear in Hitchin integrable systems with singularities.

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