Tuesday, June 1, 2021
Tuesday, May 25, 2021
An online summer school on K-Theory and Representation Theory, organized by N. Higson, R. Plymen and H. Sengun and sponsored by the London Mathematical Society and the Isaac Newton Institute, will take place 19-23 July 2021.
There will be four lecture series:
– Basic representation theory of p-adic Lie groups, by Anne-Marie Aubert
– Basic representation theory of real Lie groups, by Peter Hochs
– Basics of group C*-algebras and K-theory, by Bram Mesland
– Dirac operators and representation theory, by Hang Wang
The lectures will be aimed towards graduate students, but all are welcome to attend. Registration and further information are at https://sites.google.com/view/bath-21-dirac-induction/home
Sunday, February 21, 2021
My book SHELL BEACH - the search for the final theory is now out. In the book, which is written for a general audience, I discuss topics such as noncommutative geometry, loop quantum gravity and the question of a final theory - mixed with a dose of whitewater kayaking and massive (intellectual) waterfalls
Best wishes, Jesper Grimstrup
Friday, December 25, 2020
Starting in January 2021, the Fields Institute in Toronto is going to run various advanced graduate courses in collaboration with Ontario universities. Students from all over the world can either take these courses, or just audit them. For details see here
Monday, November 2, 2020
Wednesday, October 14, 2020
With YouTube and Zoom playing a much bigger role now in disseminating knowledge across the globe, it is only natural to have a YouTube channel dedicated to posting talks in an ongoing global noncommutative geometry seminar. The seminar is a collective effort with three nodes in Europe, Americas and Asia. There are many details that still has to be worked out and currently many people are working on that. Meanwhile we are glad that at least the YouTube channel is up and running! Here it is
Tuesday, September 15, 2020
We all learned with immense sorrow that Vaughan Jones died on Sunday September 6th.I met him in the late seventies when he was officially a student of André Haefliger but contacted me as a thesis advisor which I became at a non-official level. I had done in my work on factors the classification of periodic automorphisms of the hyperfinite factor and Vaughan Jones undertook the task of classifying the subfactors of finite index of the hyperfinite factor among which the fixed points of the periodic automorphisms give interesting examples.
By generalizing an iterative construction which I had introduced he was first able to show that the indices of subfactors form the union of a discrete set with a continuum exactly as in conformal field theory. But his genius discovery was when he understood the link between his theory of subfactors and knot theory which is the geometry of knots in three space!
This is really a fantastic discovery that led to a new invariant of knots : the Jones polynomials!
This discovery was afterwards dressed using functional integrals but the real breakthrough is indisputably due to Vaughan Jones.
To me his discovery is one of the great jewels of the unity of mathematics where a seemingly remote problem such as the classification of subfactors of finite index turned out to be deeply related to a fundamental geometric problem!
For this reason I do not hesitate to affirm that Vaughan Jones' discovery is one of pure genius and that his work has all characteristic features that grant it immortality.