Quantization, Geometry and Noncommutative Structures in Mathematics and Physics

1. Prelude: A General Overview
Alexander Cardona, Sylvie Paycha, Andrés F. Reyes Lega

2. Deformation Quantization and Group Actions
Simone Gutt

3. Principal Fiber Bundles in Non-commutative Geometry
Christian Kassel

4. An Introduction to Nichols Algebras
Nicolás Andruskiewitsch

5. Quantum Field Theory in Curved Space-Time
Andrés F. Reyes Lega

6. An Introduction to Pure Spinor Superstring Theory
Nathan Berkovits, Humberto Gomez

7. Introduction to Elliptic Fibrations
Mboyo Esole

8. Batalin–Vilkovisky Formalism as a Theory of Integration for Polyvectors
Pierre J. Clavier, Viet Dang Nguyen

9. Split Chern–Simons Theory in the BV-BFV Formalism
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli

10. Weighted Direct Product of Spectral Triples
Kevin Falk

Keywords: Physics, Quantum Field Theories, String Theory, Mathematical Physics, Algebraic Geometry