In this talk, the second of three, we introduce two fascinating objects in mathematics: the Riemann zeta and multiple zeta functions. We explore basic properties of these objects such as: their special values, analytic continuation and interesting connections to mathematical physics.
Abstract: In this talk, the first of three, we introduce two fascinating objects in mathematics: the Riemann zeta and multiple zeta functions. We explore basic properties of these objects such as: their special values, analytic continuation and interesting connections to mathematical physics.
We will present an example of an Hereditarily irreducible map, from a continuum onto a superdendrite, that is not continuumwise injective.
Diffusion is a ubiquitous notion in the theory of PDEs. The most obvious case is the heat equation and it has many derivations, including both non-local and non-linear examples (fractional Laplacian, fractional p-Laplacian, porous medium). We will discuss
how to make your own diffusion operator from scratch and why it will have (some of) the properties you would like it to have. Joint work with G. Karch (Wrocław) and M. Kassmann (Bielefeld).