Group Actions on Lattices

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Related lectures (29)

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Equidistribution of CM Points

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Self-similar groups II

Explores self-similar groups acting on rooted trees and their properties.

Group Actions: Examples

Showcases examples of group actions on vector spaces and topological spaces.

Lattices: Theory and Applications

Explores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.

The Torus and Linear Groups

Explores the torus, linear groups, stability properties of matrices, and homomorphisms.

Hermite Normal Form: Computation & Properties

Covers the computation and properties of the Hermite Normal Form (HNF) in matrix theory and lattice theory.

Prime Number Theorem

Explores the proof of the Prime Number Theorem and its implications in number theory.

Determinants: Special Linear Groups and Matrix Properties

Explores the special linear group, matrix properties, and determinant theorems.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Explores dynamics on homogeneous spaces and their interactions with number theory, focusing on modular lattices and the Iwasawa decomposition theorem.

Equidistribution of CM Points

Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.