|XXXVI Workshop on Geometric Methods in Physics||2-8.07.2017|
|VI School on Geometry and Physics||26-30.06.2017|
Participants of Workshop
Participants of School
An introduction to noncommutative geometry
The lectures will present a brief overview of tools and methods of noncommutative differential geometry and its applications to theoretical physics. Starting with basic mathematical foundations of NCG (algebras, K-theory, K-homology and cyclic (co)homology), I will describe the extension of the notion of geometry and demonstrate that changing the paradigm allows to extend the tools of theoretical physics to construct models of quantum spacetime. The overview shall be illustrated by easy do-it-yourself toy models, which help to understand the principles and results.
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