Analytic Manifolds and Berkovich Spaces

Related lectures (32)

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Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

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

Covers exercises on attaching 1-cells to intervals in topology.

Explores the homotopy theory of chain complexes, including path object construction and fibrations.

Covers fundamental concepts of space, topology, groups, and homology theory.

Explores smooth functions on manifolds, emphasizing continuity and atlas topologies.

Covers Riemann surfaces as complex manifolds of dimension 1, including transition maps and holomorphic functions.

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

Covers normed vector spaces, topology in R^n, and the principle of drawers as a demonstration method.

Covers the concept of orientation and degrees in topology, focusing on assigning orientations to manifolds.