Why Unhappy? --- Potential to have no PhD to read.
Here are some mathematics I like very much.
> Lecture 1 Temperley–Lieb Category [Note [Record(Chinese)]
(Typo: Catalan number should be $\frac{1}{N+1}\binom{2N}{N}$)
> Lecture 2 Classic Invariant Theory [Notes] [Recording(Chinese)]
(Note: the corresponding adjoint invariant of e in D-type is Pffafian)
> Lecture 3 Crystal Basis Combinatorics [Notes] [Not recorded]
Typo:
> Lecture 4 Quiver Representations [Quiver1]
> Lecture 5 Quiver Representations [Quiver2]
> Lecture 6 Quiver Representations (Hall algebras) (Later)
> Lecture 7 KLR Algebras [KLR1(revised).pdf]
> Lecture 8 KLR Algebras [KLR2(revised).pdf]
> Lecture 9 KLR Algebras [KLR3.pdf]
> Lecture 10 Borel Weil Theory [BorelWeil.pdf]
Contents
1 Lecture 1 — Borel–Weil Theorem
2 Lecture 2 — Demazure Character Formula
3 Lecture 3 — Schur–Weyl Modules
4 Lecture 4 — Horn’s Problem