An operator algebras seminar at SIMIS: From Perturbations of Operators to Noncommutative Condensers

报告人: Dan-Virgil Voiculescu (UC Berkeley)

Host: 林华新

摘要: The quasicentral modulus is a number associated with an n-tuple of bounded Hilbert space operators and a rearrangement invariant norm. It underlies the multivariable generalizations of the classical theorems of Weyl-von Neumann-Kuroda and Kato-Rosenblum on perurbation theory. It also provides an operator theory approach to Lebesgue measure and to certain other self-similar measures on fractals, as well as to the Kolmogorov-Sinai dynamical entropy. I will explain a non-commutative analogy with condenser capacity in nonlinear potential theory.

时间: 10:00-11:00 a.m., Thursday, December 12, 2024

地点: Room 1210, SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
Zoom会议号: 423 317 8953 (Password: SIMIS)


About the speaker: Professor Dan-Virgil Voiculescu is a member of US National Academy of Sciences (since 2006). In 2012, he became a fellow of the American Mathematical Society. Professor Voiculescu was a speaker at the International Congress of Mathematicians in 1983 (ICM1983). He was also a plenary speaker at the International Congress of Mathematicians in 1994 (ICM1994). Professor Voiculescu won the College de France Medal in 1989. He received the NAS Award in Mathematics from the National Academy of Sciences in 2004.

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