A geometric Elliott invariant

Hang Wang (East China Normal University)

11:00-12:00,July 31th,2024    

Shanghai Institute for Mathematics and Interdisciplinary Sciences

Abstract:

We develop a geometric approach to the Elliott invariant for a free, minimal action of $\mathbb{Z}^d$ on a compact space with finite covering dimension. This approach relies on topological and index-theoretic data from the mapping torus associated with the minimal topological dynamical system. Applications include noncommutative rigidity of mapping tori and the magnetic gap-labelling problem for certain Cantor minimal systems. This work is done in collaboration with Hao Guo and Valerio Proietti.

About the speaker:

Hang Wang is a Professor at the School of Mathematical Sciences, East China Normal University. She received her B.S. from Fudan University in 2006, her Ph.D. from Vanderbilt University in 2011 under the supervision of Gennadi Kasparov, and her postdoctoral fellowship at the Yau Mathematical Sciences Center at Tsinghua University from 2011 to 2013. She worked at the University of Adelaide from 2013 to 2017. In 2016, Professor Wang was awarded the Discovery Early Career Researcher Award and shortly after was selected for Thousand Youth Talents Program. In 2019, she was recognized with the Shanghai Rising-Star Program. Professor Wang’s research interests involve noncommutative geometry and operator algebras with applications in topology, geometry and representation theory. She has published in top-tier mathematical journals such as the Journal of Differential Geometry, Advances in Mathematics, and the Proceedings of the London Mathematical Society.

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