Integral equations, the spectral theorem and an introduction to noncommutative geometry

開催日時: 
2019/06/20 Thu 10:30 - 11:30
場所: 
3号館127大会議室
講演者: 
Nigel Higson
講演者所属: 
Pennsylvania State University
概要: 

Hilbert's theory of integral equations, now over one handred years old, is a famously successful marriage of matrix algebra and analysis. One way to view Alain Connes' much newer noncommutative geometry is to see it as an evolution of the theory of integral equations that incorporates geometric ideas into Hilbert's work. I shall try to develop this perspective in my lecture. I will focus on one construction of Connes, which relates integral equations to Weyl's asymptotic law, the Atiyah-Singer index theorem, and more.

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