Group Theory: Part 2Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Group HomomorphismsExplores group homomorphisms, isomorphisms, and generators in abstract algebra.
Local Global DualityExplores local-global duality in lattices and joint equidistribution of CM points.
Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.
Equivalences of CategoriesExplores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.
Symplectic GroupsExplores symplectic groups, linear transformations preserving non-degenerate alternating bilinear forms on vector spaces.