Mini-course on Cluster Algebra Structures
- Date: 5 February 2024, 10:30 – 6 March 2024, 17:00
- Location: Ångström Laboratory, 64119
- Type: Course
- Lecturer: Georgios Dimitroglou Rizell
- Organiser: Centre for Geometry and Physics
- Contact person: Georgios Dimitroglou Rizell
Main goal will be to introduce three different incarnations of the structure of cluster algebras.
First meeting: Monday 5 February at 10:30 in 64119 or on Zoom link (meeting ID: 66687871703)
Outline:
Lecture 1: Introduction to cluster varieties and their combinatorics.
Lecture 2: Examples, Quivers from seeds.
Lecture 3: Toric and log-Calabi Yau varieties.
Lecture 4-5: Cluster algebra structure in algebraic geometry (toric models of log Calabi-Yau varieties)
Lecture 6: Toric Kähler structures, momentum maps, SYZ-mirror symmetry.
Lecture 7-8: Symplectic and SYZ-aspects of cluster algebras and varieties (Lagrangian mutation).
Lecture 9: Toric degeneration, Dimers, Tilting objects.