ZMP Seminar and Colloquium (Winter term 2021/22)
The topic of the ZMP Seminar this term will be Cluster algebras. For questions about the seminar, please contact Georgios Papathanasiou, Ingo Runkel or Volker Schomerus.
The seminar will either be on
BBB or on zoom as indicated in the announcement email each week.
The ZMP Colloquium will typically be on zoom.
Seminar notes:
- Helge Ruddat, Introduction to Cluster Algebras, Part 1 [pdf]
- Murad Alim, Introduction to Cluster Algebras, Part 2 [pdf]
- Felix Tellander, Scattering Amplitudes – symbols and cluster algebras [pdf]
- Niklas Henke, Singularities of scattering amplitudes from cluster algebras & their generalizations,
part 1 [pdf] and
part 2 [pdf]
- Merlin Christ, Additive categorification of cluster algebras, part 1 [pdf]
- Jeremy Mann, Cluster Algebras in the Representation Theory of Quantum Affine Algebras[pdf]
Some references:
- "WHAT IS ... a cluster algebra" [pdf] from the "WHAT IS..." series of the AMS [web]
- The review "Cluster algebras and derived categories" by B. Keller (arXiv:1202.4161 [math.RT])
- "Polylogarithm identities, cluster algebras and the N=4 supersymmetric theory" by C. Vergu (arXiv:1512.08113 [hep-th])
- The review "The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes" by S. Caron-Huot et al. (arXiv:2005.06735 [hep-th])
- The lecture notes "Mathematical aspects of scattering amplitudes" by C. Duhr (arXiv:1411.7538 [hep-ph])
- "Cluster mutation-periodic quivers and associated Laurent sequences" by A.P. Fordy and B. Marsh (arXiv:0904.0200 [math.CO])
- (more to come)
The plan for this term is (subject to change):