Autumn School 2019

The aim of this autumn school is to introduce the notions of deformations and rigidity from many different angles of perspective to an audience of PhD students and young postdocs working in the fields of algebra, geometry and analysis. Rigidity can be defined as the absence of nontrivial deformations while deformations are similar mathematical structures in the neighbourhood of a starting structure. While these ideas are fairly vague without specifying them, it turns out that the general idea behind deformations and rigidity is omnipresent in mathematics with many important applications to mathematical physics as well.

With this autumn school we plan to provide on one hand a platform where the participants learn different notions of deformation theory and the corresponding rigidity results. On the other hand, and equally important, we provide a forum where the participants can exchange first ideas about their own research among each other. This way, some first networking within the next generation will be stimulated.

• Francesca Arici (Radboud Universiteit Nijmegen)
  An Introduction to Noncommutative Topology

• Simone Gutt (Universite Libre de Bruxelles)
  Deformation Quantization and Symmetries

• Gandalf Lechner (Cardiff University)
  The Yang-Baxter equation, operator algebras, and braid group characters

• Ioan Marcut (Radboud Universiteit Nijmegen)
  Deformations of Poisson structures

• Boris Tsygan (Northwestern University)
  Noncommutative Geometry and Differential Calculus