Invitation to 2019 JIASC at Nagasaki

Invitation to the Arbeitsgemeinschaft at Oberwolfach

Symplectic Geometry has seen a rapid development since the 80's with the discovery of rigidity phenomena like the non-squeezing theorem based on Gromov's seminal theory of pseudo-holomorphic curves. A directly related development was Floer's method of using Morse theory in a new way, known as Floer homology, in order to solve the Arnold conjecture. In the 60's Arnold formulated his conjecture b...

From 2009 to 2019: what a change!

May 2019 – The New York Times, the International Herald Tribune and the Frankfurter Allgemeine, based on a large survey conducted in the US, Canada, Europe, Australia and China, have concluded that the intensive care unit (ICU) is the most appealing workplace in the world. Financial institutions and the stock exchange had been ranking highest in these regular international surveys until 2008, w...

Invitation to operadic dynamics

Based on the Gerstenhaber Theory it is clarified how operadic dynamics may be introduced. Operadic observables satisfy the Gerstenhaber algebra identities and their time evolution is governed by the Gerstenhaber-Lax or Gerstenhaber-Heisenberg equation. In this way one can describe classical and quantum time evolution of operations. The notion of an operadic Lax pair is introduced as well.

An Invitation to Play

Parity games and their subclasses and variants pop up in various contexts: μ-calculus, tree automata, program verification [3, 1, 8]. Such games provide only binary information indicating the winning player. However, in classical games theory [12] the emphasis is rather on how much we win or lose. Can we incorporate the information about the profits and losses into parity games?

An Invitation to Topology