Lectures related to Locally compact group

Explores the Kirillov paradigm for the Heisenberg group and unitary representations.

Local structure of totally disconnected locally compact groups IV

Explores the local structure of totally disconnected locally compact groups, focusing on pseudocomplements and normal subgroups.

Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

A Conjecture of Erdös: Proof by Moreira, Richter and Robertson

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Pointed Mapping Spaces: Exponential Law and Adjunction

Explores pointed mapping spaces, the exponential law, adjunction properties, and homotopic classes.

Dynamical Approaches to Spectral Theory of Operators

Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.

Local structure of totally disconnected locally compact groups V

Explores the local structure of totally disconnected locally compact groups, focusing on GER and Mon (G), their properties, and faithful actions.

Homogeneous Spaces

Explores formogenic spaces, topological groups, quotients, and rotations on the unit sphere.

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Endomorphisms and automorphisms of totally disconnected locally compact groups III

Explores the properties of endomorphisms and automorphisms of locally compact groups, emphasizing invariance, tree representation theory, and minimal subgroups.

Compact-open topology

Covers the compact-open topology, defining maps between spaces and discussing continuous maps and preimages in topology.

Exponential Law: Mapping Spaces and Compactness

Explores the exponential law for mapping spaces and the role of compactness in topological theory.

Endomorphisms and automorphisms of totally disconnected locally compact groups

Explores endomorphisms and automorphisms of totally disconnected locally compact groups, emphasizing the properties of flat groups and free abelian subgroups.

Partial Differential Equations: Solutions and Applications

Explores solutions to partial differential equations and their applications in various scenarios.

Construction of Interior and Exterior Measures

Explores the construction of measures, focusing on positive functionals and their properties in measure theory.

Local structure of totally disconnected locally compact groups II

Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.

Open Mapping Theorem

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Joint Equidistribution of CM Points

Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.

Topology: Course Notes 2021

Covers course notes on topology, discussing Stasheff Mérida, cost-savings, and representative points.

Meromorphic Functions & Differentials

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.