Invitation to 2021 JIASC at Nagaoka

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...

Quantum correlations at infinite temperature: The dynamical Nagaoka effect

Márton Kanász-Nagy,1,* Izabella Lovas,2 Fabian Grusdt,1 Daniel Greif,1 Markus Greiner,1 and Eugene A. Demler1 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA 2MTA-BME Exotic Quantum Phases “Momentum” Research Group and Department of Theoretical Physics, Budapest University of Technology and Economics, 1111 Budapest, Hungary (Received 10 May 2017; published 14 Jul...

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