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Related lectures (26)

Page 2 of 3

Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.

Analyzing Character Lifts in Cp

Covers constructing characters and lifting them to analytic functions on Cp, emphasizing the importance of correction terms for convergence.

Partial Derivatives: Higher Order and Applications

Covers the concept of partial derivatives of higher order and their applications in various contexts.

Convex Functions

Covers the properties and operations of convex functions.

Convergence of Sequences

Covers the convergence of sequences and how to calculate limits for convergent sequences.

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

Advanced Analysis II: Recap and Open Sets

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Geometric McKay correspondence: Du Val singularities and Dynkin diagrams

Explores the derivation of Dynkin diagrams from Du Val singularities.

General Manifolds and Topology

Covers manifolds, topology, smooth maps, and tangent vectors in detail.