Expository Articles and Talks by
Masoud
Khalkhali
- Noncommutative
Geometry for Poets
This is a quick introduction to some of the ideas of noncommutative
geometry.
- Regularizing
divergent sums
UWO undergraduate Pizza Seminar talk in Sept. 2011. Zeta function and cutoff regularization techniques are introduced.
- Regularizing
divergent products
UWO undergraduate Pizza Seminar talk in 2015. Zeta function
regularization technique is introduced.
- Wir
müssen wissen, wir werden wissen! (We must know, we will
know!)
This is a short post on Hilbert's radio speech that I wrote for the
Noncommutative Geometry Blog.
- Determinant,
Trace, and Noncommutative Geometry
This is a post I wrote for the
Noncommutative Geometry Blog.
- The
Music of Quantum Spheres
Talk for students attending the Fields Institute Undergraduate Summer
Research Program.
- The
Nature of Space in Noncommutative Geometry
A colloquium at IPM, Tehran, in 2010. I sketch the development of the
notion of space in mathematics and physics.
- First Steps in Quantum
Computing
Pizza Seminar talk, UWO, April 2013.
- 100
Years of Weyl's Law
This is a celebration of Weyl's proof of his asymptotic law for
eigenvalues of Laplacians in 1911.
- The
Spectral Point of View in Geometry
Colloquium, University of Windsor.
- Spectral
Zeta Functions and Gauss-Bonnet Theorems in Noncommutative
Geometry
10th Annual Noncommutative Geometry and Operator Algebra Spring
Institute, Vanderbilt University.
- What
is new with Connes' approach to the Riemann hypothesis?
This is a report on a recent paper by Connes-Consani-Marcolli. Among
other things they can give a definition of the Frobenius in
characteristic zero.
- A
Beginner's Guide to Noncommutative Geometry
This is really not about noncommutative geometry, but what it is built
on. Should be useful to students of the subject.
- Banff
Report
prepared by the organizers of a Banff meeting on noncommutative
geometry. It contains a good introduction to the subject as well as its
state of the art in 2003.
- Lectures
on Noncommutative Geometry (112 pages)
- Very
Basic Noncommutative Geometry (104 pages)
This is an expanded text of lectures I gave at the Fields Institute and
at the 2nd Spring school on Noncommutative Geometry and Operator
Algebras, Vanderbilt University, USA.
- From
Cyclic Cohomology to Hopf Cyclic Cohomology in 5 Lectures(246
pages)
This is the text of 5 lectures I gave at the annual meeting on
Noncommutative Geometry and Operator Algebras, 2007, in Vanderbilt
University.