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Graduate Course on K-Theory and C*-Algebras

Fields Institute via YouTube

Overview

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Explore advanced mathematical concepts through this graduate-level course that delves into the intricate relationship between K-theory and C*-algebras. Master fundamental principles of operator algebras while developing a deep understanding of K-theoretic methods and their applications in modern mathematics. Progress through 34 comprehensive lectures that systematically build your knowledge from foundational concepts to advanced topics in this specialized field. Gain expertise in the theoretical framework that connects algebraic topology, functional analysis, and operator theory. Develop the mathematical sophistication needed to work with C*-algebraic K-theory and understand its role in contemporary research. Learn from expert instruction delivered as part of the Fields Institute's Thematic Program on Operator Algebras and Applications, ensuring exposure to cutting-edge developments in the field. Build the theoretical foundation necessary for advanced research in operator algebras, noncommutative geometry, and related areas of pure mathematics.

Syllabus

Lecture 01 | Graduate Course on K-Theory and C*-Algebras
Lecture 02 | Graduate Course on K-Theory and C*-Algebras
Lecture 03 | Graduate Course on K-Theory and C*-Algebras
Lecture 04 | Graduate Course on K-Theory and C*-Algebras
Lecture 05 | Graduate Course on K-Theory and C*-Algebras
Lecture 06 | Graduate Course on K-Theory and C*-Algebras
Lecture 07 | Graduate Course on K-Theory and C*-Algebras
Lecture 08 | Graduate Course on K-Theory and C*-Algebras
Lecture 09 | Graduate Course on K-Theory and C*-Algebras
Lecture 10 | Graduate Course on K-Theory and C*-Algebras
Lecture 11 | Graduate Course on K-Theory and C*-Algebras
Lecture 12 | Graduate Course on K-Theory and C*-Algebras
Lecture 13 | Graduate Course on K-Theory and C*-Algebras
Lecture 14 | Graduate Course on K-Theory and C*-Algebras
Lecture 15 | Graduate Course on K-Theory and C*-Algebras
Lecture 16 | Graduate Course on K-Theory and C*-Algebras
Lecture 17 | Graduate Course on K-Theory and C*-Algebras
Lecture 18 | Graduate Course on K-Theory and C*-Algebras
Lecture 19 | Graduate Course on K-Theory and C*-Algebras
Lecture 20 | Graduate Course on K-Theory and C*-Algebras
Lecture 21 | Graduate Course on K-Theory and C*-Algebras
Lecture 22 | Graduate Course on K-Theory and C*-Algebras
Lecture 23 | Graduate Course on K-Theory and C*-Algebras
Lecture 24 | Graduate Course on K-Theory and C*-Algebras
Lecture 25 | Graduate Course on K-Theory and C*-Algebras
Lecture 26 | Graduate Course on K-Theory and C*-Algebras
Lecture 27 | Graduate Course on K-Theory and C*-Algebras
Lecture 28 | Graduate Course on K-Theory and C*-Algebras
Lecture 29 | Graduate Course on K-Theory and C*-Algebras
Lecture 30 | Graduate Course on K-Theory and C*-Algebras
Lecture 31 | Graduate Course on K-Theory and C*-Algebras
Lecture 33 | Graduate Course on K-Theory and C*-Algebras
Lecture 34 | Graduate Course on K-Theory and C*-Algebras
Lecture 35 | Graduate Course on K-Theory and C*-Algebras

Taught by

Fields Institute

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