This book collects an extended version of the lectures delivered by
the authors at the Fall Workshop on Geometry and Physics in the
years 2014, 2015, 2016.It aims at introducing advanced graduate and
PhD students, as well as young researchers, to current research in
mathematics and physics. In particular, it fills the gap between
the more physical-oriented and the more mathematical-oriented
literature on quantum theory. It introduces various approaches to
methods of quantization, along with their impact on modern
mathematical methods.
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