Lectures related to Group Actions on Lattices

Explores linear projective groups, quaternions, subgroup generation, and normality.

Covers the concept of Galoisian coating and actions that are totally discontinuous.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

Covers dynamical systems on homogeneous spaces and their interactions with number theory.

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

Explores subsets and subgroups related to group actions on sets.

Introduces the regular representation, a key tool for studying group actions on varieties.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores local-global duality in lattices and joint equidistribution of CM points.