This half-size MFO workshop brings together researchers in mathematical statistics, probability theory, machine learning, medical sciences, and economics to discuss recent developments in sequential inference. New sequential ...

The workshop brought together researchers in two fields, non-commutative function theory and free probability. There was a mini-course in each of these areas, and speakers in all the talks were encouraged to give expository ...

In 1945 Gerhard Hochschild published "On the cohomology groups of an associative algebra" in the "Annals of Mathematics" and thereby created what is now called Hochschild theory. The subject not only provides interesting ...

The mathematical framework of approximate entropic learning introduced very recently promises to provide robust, cheap and efficient ways of machine learning in the so called "small data" regime, when the underlying learning ...

Given a smooth projective curve $C$, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to $C$. The first is the moduli space of Higgs bundles on $C$ of rank $n$, which is equipped ...

The mathematical theory of optimal transportation is constantly expanding its range of application, while applications give impulses for new research directions in the field. This workshop was specifically devoted to ...

Materials can now be designed and architectured like structural components for targeted mechanical and physical properties. Structures and microstructures should not be studied independently and their design will benefit ...

When high-intensity electromagnetic waves at optical frequencies interact with solids and/or nanostructures the materials' response cannot anymore be described via simple linear relations. The resulting science of nonlinear ...

Partial differential equations arising in the context of interfaces and free boundaries encompass a flourishing area of research. The workshop focused on new developments and emerging new themes. At the same time also ...

Nichols algebras are graded Hopf algebra objects in braided tensor categories. They appeared first in a paper by Nichols in 1978 in the search for new examples of Hopf algebras. Rediscovered later several times, they ...