Renormalization and Rigidity in Dynamical Systems

Abstract：

The ideas of renormalization was introduced into dynamics around 40 years ago. By now renormalization is one of the most powerful tools in the asymptotic analysis of dynamical systems. In this talk I will discuss the main conceptual features of the renormalization approach,and present a selection of recent results. I will also discuss open problems and formulate related conjectures.

Speaker：

Konstantin Khaninis a Russian mathematician and physicist. He served as Chair (academic) of the Department of Mathematical and Computational Sciences at the University of Toronto Mississauga. He received his PhD from the Landau Institute of Theoretical Physics in Moscow and continued working there as a Research Associate until 1994. Afterwards, he taught at Princeton University, at the Isaac Newton Institute in Cambridge, and at Heriot-Watt University before joining the faculty at the University of Toronto. Khanin was an invited speaker at the European Congress of Mathematics in Barcelona in 2000. He was a 2013 Simons Foundation Fellow. He held the Jean-Morlet Chair at the Centre International de Rencontres Mathématiques in 2017, and he was an Invited Speaker at the International Congress of Mathematicians in 2018 in Rio de Janeiro. In 2021 he was awarded The Humboldt Prize, also known as the Humboldt Research Award, in recognition of his lifetime's research achievements.