Lectures related to Smith Theory in Floer Persistence and Dynamics

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Dynamical Systems: Maps and Stability

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Excel Exercise: Trends

Explores trend analysis in Excel using rent data from 1995 to 2023.

Information Theory: Basics

Covers the basics of information theory, entropy, and fixed points in graph colorings and the Ising model.

Derivative: Application Examples

Explores examples of using derivatives to find tangent lines and points on graphs.

Continuity and Fixed Points: Understanding Functions

Explores continuity, fixed points, and bijective functions in graphs.

Fundamental Groups

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Functions and Integers

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

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