Vorlesungen/Details

FS 13

MAT719

Topological Quantum Field Theory in dimension 2

Prof. Dr. Vladimir Turaev

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The course will be an introduction to mathematical aspects of Topological Quantum Field Theory (TQFT) with focus on 2-dimensional TQFTs.

We will cover the following topics:

Atiyah's axioms of a TQFT
Dijkgraaf's classification of 2-dimensional TQFTs in terms of Frobenius algebras
the Fukuma-Hosono-Kawai state sum construction of 2-dimensional TQFTs
Moore-Segal's open-closed 2-dimensional TQFTs and their classification
Homotopy Quantum Field Theories (HQFTs)
classification of 2-dimensional HQFTs in terms of crossed Frobenius algebras
applications of 2-dimensional HQFTs to certain enumeration problems on surfaces.

Mo	06.04.2009	10:15 - 12:00	Y27-H-12
Di	07.04.2009	12:15 - 13:45	Y27-H-28
Do	23.04.2009	10:15 - 12:00	Y27-H-12
Do	30.04.2009	10:15 - 12:00	Y27-H-12
Do	07.05.2009	10:15 - 12:00	Y27-H-12
Do	14.05.2009	10:15 - 12:00	Y27-H-12
Mo	18.05.2009	10:15 - 12:00	Y27-H-12
Di	19.05.2009	12:15 - 13:45	Y27-H-28

Prüfung

Prüfungsinformationen: noch nicht erfasst.

Institut für Mathematik