Lectures related to Topological ring

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

Covers the definition and examples of topological groups, focusing on actions of groups on spaces.

Miniaturized Microwave Systems: Topological Wave Control

Explores miniaturized microwave systems, wave control challenges, and topological filters for miniaturized applications.

Homogeneous Spaces

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

Quantization: Topological Operators

Covers the quantization process using topological operators and their role in generating symmetries.

Topology: Fundamental Groups and Surfaces

Discusses fundamental groups, surfaces, and their topological properties in detail.

Quadratic Lattices and Genus Classes

Explores integral Hasse principle, locally isometric lattices, and adèles rings.

Inverse Limits and Topologies

Explores inverse limits, profinite completions, and Hausdorff topologies in group theory and topology.

Topological Waves for Robust Signal Processing Applications

Explores topological waves for robust signal processing applications, focusing on resistance to perturbations and the design paradigm of topological systems.

Quantization: Topological Operators

Covers the quantization of topological operators and Ising models on square lattices.

Higher Homotopy Groups: Generalization and Structure

Explores the generalization and structure of higher homotopy groups, including their abelianness, historical context, and properties of H spaces.

Conformal Field Theory & Operator Product Expansion

Explores Conformal Field Theory and Operator Product Expansion, emphasizing the role of symmetries and the quantization process in CFT.

Fractional Response

Explores linear response in dynamical systems, emphasizing fractional derivatives and expanding unimodal maps.

Conformal Transformations and Stress Tensor

Explores conformal transformations, stress tensor, and correlation functions in conformal field theory.

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Orbit Spaces

Explores the concept of orbit spaces and group actions in topological spaces, including translations and multiplications.

Ward Identities and Symmetries

Delves into Ward identities, symmetries, conserved currents, and conformal symmetry, exploring their implications on correlators and quantum models.

Topology: Separation Criteria and Quotient Spaces

Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.

Dual Spaces: Definitions and Properties

Covers the definitions and properties of dual spaces and linear operators.

Topology: Homotopy and Projective Spaces

Discusses homotopy, projective spaces, and the universal property of quotient spaces in topology.