Eisenstein Series and Spectral Decomposition

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Representation Theory: Actions and Invariants

Covers the representation theory of groups, focusing on actions and invariants.

Representation Theory: Algebras and Homomorphisms

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Conformal Blocks: Functions on Moduli Spaces

Covers conformal blocks and their significance in complex structures and moduli spaces.

Unitary Minimal Models: Representation Theory Insights

Covers the representation theory of unitary minimal models and the Virasoro algebra.

Structure of Algebras

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Spectral Estimation Methods

Explores parametric spectrum estimation methods, including line and smooth spectra, and delves into heart rate variability analysis.

Spectral Analysis: Hyperbolic Surfaces

Explores the spectral analysis of hyperbolic surfaces through the trace formula and its applications in understanding geometric and spectral properties.

Density Theorem: Endomorphisms of Simple Modules

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

Monster Group: Representation

Explores the Monster group, a sporadic simple group with a unique representation theory.

Eisenstein Series: Decomposition and Unitarizability

Covers the decomposition of Eisenstein series into orthogonal components and the unitarizability of certain representations.