ZMP Seminar and Colloquium (Summer term 2022)
The topic of the ZMP Seminar this term will be Cluster algebras II: Applications in integrable models, geometry and SUSY QFT. For questions about the seminar, please contact Georgios Papathanasiou, Helge Ruddat or Jörg Teschner.
The Seminar and the Colloquium will be held in either hybrid or online format, depending on speaker availability. Information about the format of each Seminar and Colloquium session, and location or connection details are provided in the weekly announcement of the ZMP mailing list.
Seminar notes:
- Ingo Runkel, Y-systems from the thermodynamic Bethe ansatz [pdf]
- Jeremy Mann, Introduction to cluster-type coordinates on moduli spaces of flat connections [pdf]
- Ivan Tully, Application to vacuum moduli spaces of supersymmetric field theories [pdf]
- Jörg Teschner, What do cluster algebras have to do with mirror symmetry? [pdf]
- Helge Ruddat, Introduction to scattering diagrams [pdf]
- Helge Ruddat, Back to the roots - cluster geometry in the light of scattering diagrams [pdf]
Some references:
- "WHAT IS ... a cluster algebra" [pdf] from the "WHAT IS..." series of the AMS [web]
- "Y-systems and generalized associahedra", by S. Fomin and A. Zelevinsky (arXiv:hep-th/0111053)
- "Wall-crossing, Hitchin Systems, and the WKB Approximation" by D. Gaiotto, G.W. Moore and A. Neitzke (arXiv:0907.3987 [hep-th])
- "Four-dimensional wall-crossing via three-dimensional field theory" by D. Gaiotto, G.W. Moore and A. Neitzke (arXiv:0807.4723 [hep-th])
- "Special Lagrangian fibrations, wall-crossing, and mirror symmetry" by D. Auroux (arXiv:0902.1595 [math.SG])
- "Birational geometry of cluster algebras" by M. Gross, P. Hacking and S. Keel (arXiv:1309.2573 [math.AG])
- "An invitation to toric degenerations" by M. Gross and B. Siebert (arXiv:0808.2749 [math.AG])
- "The proper Landau-Ginzburg potential is the open mirror map" by T. Gräfnitz, H. Ruddat and E. Zaslow (arXiv:2204.12249 [math.AG])
The plan for this term is (subject to change):