# What are Optimal Hardy Inequalities?

#### 02.12.2020, 16:30  –  Online Ph.D. Seminar

Florian Fischer

I will give an overview of recent developments in the study of Hardy-type inequalities on manifolds and on graphs. In particular, I will present a technique to get 'as large as possible' Hardy weights which is made precise by the notion of optimality. Moreover, I will restrict myself to Laplacians on smooth manifolds and bounded combinatorial graphs, although the results remain true in far greater generality. This talk will summarise a survey paper by Keller, Pinchover and Pogorzelski (2020).