## Top Global Course Special Lectures “Integral equations, the spectral theorem and an introduction to noncommutative geometry”

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**Integral equations, the spectral theorem and an introduction to noncommutative geometry**
Prof. Nigel Higson

**Course Description**

Hilbert’s theory of integral equations, now over one hundred 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.

### Details

- Year/Term
- 2019

- Date
- June 20th, 2019

- Faculty/

Graduate School - Graduate School of Science

- Language
- English

- Instructor name
- Nigel Higson（Professor, Pennsylvania State University）

- Place
- Room 127, Graduate School of Science Bldg No 3

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