Syllabus: This course is intended as an introduction to the theory of plane partitions and related combinatorial objects. It will cover an historical introduction to this topic, connections to other combinatorial objects, symmetric functions and representation theory as well as the "mysterious connection" to alternating sign matrices (ASMs). Further relevant topics are perfect matchings, Kuo's condensation, lozenge tilings, nonintersecting lattice paths, the Lindström-Gessel-Viennot Theorem, the condensation method for determinant evaluation and RSK-like bijections. More advanced topics could include poset partitions, connections to statistical physics including vertex models, shifted plane partitions, and a detailed elaboration of symmetry classes of plane partitions and their relation to ASMs.
Lecture notes (first part): here

Time: Monday 15:30 - 17:00 & Thursday 15:45 - 17:15 (Montreal time, UTC-5).
Zoom-id: 642 383 4324
Password: Number of permutations of the word "plane".