Symplectic GroupsExplores symplectic groups, linear transformations preserving non-degenerate alternating bilinear forms on vector spaces.
Prime Number TheoremExplores the proof of the Prime Number Theorem and its implications in number theory.
Connected ComponentsCovers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.
Group Actions on LatticesExplores group actions on lattices, emphasizing GL₂(Q) and GL₂(Ag) compatibility and alternative formulations.
Matrix InversionExplores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.
