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The conference will cover, but is not limited to, the main themes: Algebra, Geometry, dynamical symmetries and conservation laws, mathematical physics and applications.
This in particular includes the themes: Deformation theory and quantization, Hom-algebras and n-ary algebraic structures, Hopf algebra, integrable systems and related mathematical structures, jet theory and Weil bundles, Lie theory and applications, noncommutative geometry, Lie algebras, and more.
The conference will focus on the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and noncommutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, noncommutative dynamics, non-commutative geometry and applications in physics and beyond.
We shall deal with applications to mathematical analysis, like the replacing of Hodges theorem with actual integration of the differential system that specifies Kaehlers exterior and interior derivatives (read curl and divergence). We shall also deal with an additional generalization to Clifford valued differential forms. It takes us beyond Dirac type environments into one that seems appropriate for high energy physics and QM foundations. See arXiv under Jose G Vargas
The goals of the conference are twofold: on the one hand, to inspire the communication of state-of-the-art research within these flourishing areas and the exchange of ideas between them. On the other hand, to give African postgraduates and researchers the opportunity to get in touch with international experts in order to help them enter one of these fields.
Some funding is available to cover travel and local costs of participants.
This is the last in a series of week-long conferences taking place during the Banach Center's Simons semester on Noncommutative Geometry. In addition to participation in the conference, there is also the opportunity for longer stays during the semester.
The main purpose of the workshop is to review some recent progress on the existence of Engel structures and to stimulate further research by bringing into focus geometrically interesting questions and by making connections to the modern theory of four-manifolds. With this goal in mind, the workshop will bring together people with different areas of expertise: those responsible for previous work on Engel structures, experts in contact topology and related topics, and experts on four-manifolds. Questions of a more dynamical flavor as well as questions pertaining to subriemannian geometry may also be discussed.
Last updated: 18 June 2016