• Lecture 1 Mostly Symmetric and Exterior powers
• Lecture 2 Representations and characters of $GL(n,\mathbb{C})$
• Lecture 3 Definition of crystals, intuition from $GL(n,\mathbb{C})$
• Lecture 4 Definition of crystals (continued) and some examples.
• Lecture 5 Tensor product of crystals and the exercise.
• Lecture 6 Crystals of Tableaux as tensor products of simpler crystals
• Lecture 7 RSK
• Lecture 8 RSK and crystals
• Lecture 9 The plactic monoid
• Lecture 10 The $\mathcal{B}(\infty)$ crystal