(minicours) D. Volin: Young tableaux and quantum integrability (1/5)

mardi 26 mars 2019, 10:00 → 12:00 Europe/Paris

Dmytro Volin will give 5 mini-courses about "Young tableaux and quantum integrability", with the following a priori schedule:

• Lecture 1 (march 26): Multiplication of Young tableaux through “Jeu de taquin”. Plactic monoid.
• Lecture 2 (march 28): Knuth-Robinson-Schensted correspondence. Algebra of symmetric functions.
• Lecture 3 (march 29): Schur-Weyl duality and related topics of representation theory of GL(N) and S_L
• Lecture 4 (april 2): Selected combinatorial questions in quantum integrability. Rigged configurations and crystal bases.
• Lecture 5 (april 4): Supertableaux. Super-symmetric functions. Non-compact Young diagrams and applications to representation theory of su(p,q|m) and AdS/CFT integrability.

Some parts of lectures will be designed as problem-solving sessions. Depending on the audience progress through these sessions and feedback, the speed and depth at which material is presented can be altered.

 

Literature: Lectures 1-3 will closely follow parts 1,2 of the book  “Young tableaux” by W.Fulton. Lecture 4 aims to summarise results of a handful of research papers, most of them are cited in the introduction of 1607.03232. Lecture 5 aims to present results of 1712.01811 and 1701.03704.