Seminar quantum physics and geometry

Seminar quantum physics and geometry
Global observables in abelian gauge field theories

Coordination: K. Fredenhagen, B. Richter and C. Schweigert

05.11.2015: Field theory from local to global (Klaus Fredenhagen); First notions from category theory I (Louis-Hadrien Robert)

19.11.2015: First notions from category theory II (Louis-Hadrien Robert)

03.12.2015: Bundles (Jonathan Fisher); Bundles with Connection and Groupoids (Lukas Woike)

17.12.2015: Simplicial objects (Tobias Ohrmann)

14.01.2016: Homotopy (co)limits (Anssi Lahtinen)

References:

[Ba] H. Baum, Eichfeldtheorie, SpringerSpektrum Masterclass, 2014
[Bo] F. Borceux: Handbook of categorical algebra I. Encyclopedia of mathematics and its applications 50, Cambridge University Press, Cambridge 1994.
[ML] S. Mac Lane: Categories for the working mathematician. Springer graduate texts in mathematics 5.
[Fre90] K. Fredenhagen, ''Generalizations of the theory of superselection sectors,'' in: The Algebraic Theory of Superselection Sectors: Introduction and Recent Results, D. Kastler, ed., World Scientific Publishing (1990) 379.
[Fre93] K. Fredenhagen, ''Global observables in local quantum physics,'' in: Quantum and Non- Commutative Analysis: Past, Present and Future Perspectives, H. Araki, K. R. Ito, A. Kishimoto, and I. Ojima, eds., Kluwer Academic Publishers (1993) 41.
[FRS92] K. Fredenhagen, K.-H. Rehren and B. Schroer, ''Superselection sectors with braid group statistics and exchange algebras II: Geometric aspects and conformal covariance,'' Rev. Math. Phys. 4 (1992) 113.