Lectures related to Local Global Duality

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

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

Covers determinantal point processes, sine-process, and their extrapolation in different spaces.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Covers the Lebesgue integration of simple functions and the approximation of nonnegative functions from below using piecewise constant functions.

Covers independence between random variables and product measures in probability theory.

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

Introduces the basics of physics, including mechanics and making predictions based on observations and hypotheses.

Covers non-degenerate quadratic lattices, local representability, equidistribution, and the Siegel theorem.

Explores the construction of the Lebesgue function on the Cantor set and its unique properties.

Introduces the fundamentals of 3D modeling in AutoCAD, covering commands for creating and manipulating objects.

Explores Newton's laws of motion, fundamental forces in nature, and the unification of interactions.

Discusses Simon's Problem and deterministic computation through various equations and implications.

Covers the fundamentals of integer optimization, including integer programming, dynamic programming, and approximation algorithms.

Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.