走向现代数学学术报告 - Iglesias-Zemmour教授（No. 777)

报告题目：When diffeology meets noncommutative geometry

报告人：Patrick Iglesias-Zemmour (Hebrew University)

时间: 2025年3月31日 16:00

Talk on zoom：253 957 5403 161786

摘要：I will explain the beginning of diffeology in 1980 and show how the problem of the quasi-periodic potential in quantum mechanics and its treatment in non-commutative geometry were at the origin of the development we have known in diffeology starting in 1983.

The central object of this problem is the foliation of the 2-torus by an irrational affine line of slope $\theta$, which gives the algebra $A_\theta$ in non-commutative geometry and the irrational torus $T_\theta$ in diffeology. I will explain how these two objects are related, and more generally how any diffeological quasifold (the irrational torus is a particular example) is naturally associated with a ${\mathbf C}^*$-algebra, satisfying that two diffeomorphic quasifolds give two Morita equivalent ${\mathbf C}^*$-algebras.

报告人简介：Patrick Iglesias-Zemmour is currently visiting professor at the Hebrew University of Jerusalem, Israel, after a career at the CNRS (France) in physics and mathematics. He obtained a doctorate in science (ScD) in 1985 on diffeological fiber bundles and homotopy, after a doctorate in theoretical physics in 1979 on thermodynamics in astrophysics. His speciality is symplectic geometry and also diffeology, which he has developed in a series of papers and two recent books published by the AMS and the Beijing WPC.