Speaker: Prof. Martin Grothaus

Time: 11:00-12:00, 14 March 2025 (Friday)  (Beijing time)

Venue: T1-108, UIC

Language: English

Abstract

Motivated by problems from Industrial Mathematics we further developed the concepts of hypocoercivity. The original concepts needed Poincaréinequalities and were applied to equations in linear finite dimensional spaces. Meanwhile we can treat equations in manifolds or even infinite dimensional spaces. The condition giving micro- and macroscopic coercivity we could relax from Poincaré to weak Poincaréin equalities. In this talk an overview and many examples are given.

About the Speaker

Prof. Dr. Martin Grothaus is chair professor in the mathematics department of the University of Kaiserslautern. He graduated from Bielefeld University in November 1998 with PhD degree in mathematics. In 2000, he honoured with a Humboldt research fellowship with Professor Doctor Leonard Gross at Cornell University. He joined University of Kaiserslautern since 2002. He is the leader of stochastic analysis group since 2008. Prof. Dr. Grothaus’ research interests are in the area of Functional Analysis (operator semigroups, Dirichlet forms), Stochastic Analysis (construction, ergodicity and scaling limits of stochastic dynamics), White Noise Analysis and Mathematical Physics (Statistical Mechanics, Quantum Mechanics, Quantum Field Theory, polymer models).