In recent years, spectral algebra or stable homotopical algebra over structured ring spectra has become an important new direction in stable homotopy theory. This workshop provided an introduction to structured ring spectra ...

The “Arbeitsgemeinsschaft mit aktuellem Thema ‘Twisted K-Theory’ ” gave an introduction to several aspects of twisted K-theory. It started with a couple of different definitions of twisted K-theory, suitable in situations ...

The telescope conjecture, first formulated by Ravenel in the late 1970s, is a conjectural classification of smashing localizations of the stable homotopy category. Participants discussed interactions between such localizations ...

Cluster algebras, invented by Sergey Fomin and Andrei Zelevinsky around the year 2000, are commutative algebras endowed with a rich combinatorial structure. Fomin-Zelevinsky's original motivations came from Lie theory ...

The two major approaches to chiral conformal field theory – one based on operator algebras and one based on vertex algebras – both lead to representation categories which are tensor categories and, in the case of rational ...

Recently conjectures by Schmidt and by Davenport were solved in papers by Dzmitry Badziahin, Andrew Pollington and Sanju Velani, and by Victor Beresnevich. The methods which they used are the source for a growing number ...

The aim of this Arbeitsgemeinschaft was to introduce young researchers with various backgrounds to the multifaceted and mutually perpetuating connections between ergodic theory, topological dynamics, combinatorics, and ...