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Extra Form
Lecturer Grazia Viola
Dept. Lakehead University
date Oct 17, 2019

The field of operator algebras deals with suitable closed subalgebras of the algebra of bounded linear operators on a Hilbert space. There are two types of operator algebras: C*-algebras and von Neumann algebras. In the 1970s A. Connes obtained a fundamental structural result about amenable von Neumann algebras, leading to a complete classification of these algebras. Since the early 1990s the Elliott classification program has aimed to obtain a corresponding classification result for simple nuclear C*-algebras. In recent years the work of several researchers has provided a classification theorem in the C*-algebras setting, using K-theoretical data. I will describe this classification result by drawing parallels with Connes work, using examples coming from dynamics as a motivation.


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List of Articles
Category Subject Dept. Lecturer
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Math Colloquia Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
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Math Colloquia Restriction theorems for real and complex curves file 포항공과대학교 박종국
Special Colloquia Regularization by noise in nonlinear evolution equations file Dep. Math., Kyoto Univ. Yoshio Tsutsumi
Math Colloquia Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
Special Colloquia Regularity of solutions of Hamilton-Jacobi equation on a domain file ENS-Lyon Albert Fathi
Math Colloquia Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연) file 서울대 전기공학부 정교민
Math Colloquia Recent progress on the Brascamp-Lieb inequality and applications file Saitama University Neal Bez
Math Colloquia Randomness of prime numbers file 서울대학교 임선희
Math Colloquia Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
Math Colloquia Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
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