Geometry/Mathematical Physics Working Seminar (2004-2005)

This year we will be studying generalised Calabi-Yau manifolds and some of their physical applications in Semester 1, and form theories of gravity (a.k.a. variational principles for special holonomy metrics) in Semester 2.

Schedule

Unless otherwise stated, seminars take place on Mondays at 3pm in JCMB 6310, in the King's Buildings campus of the University of Edinburgh.

• Monday, 4 October 2004
  Simon Philip
  Chapter 2 of Gualtieri's Thesis
• Monday, 11 October 2004
  Simon Philip
  Chapter 2 of Gualtieri's Thesis (cont'd)
• Monday, 18 October 2004
  José Figueroa-O'Farrill
  Quo vadimus?
• Monday, 25 October 2004
  José Figueroa-O'Farrill
  Generalised complex manifolds
• Hors série (Same place, same time)
  Tuesday, 26 October 2004
  José Figueroa-O'Farrill
  Touching the *oid
• Monday, 1 November 2004
  José Figueroa-O'Farrill
  Generalised Calabi-Yau manifolds
• Monday, 8 November 2004
  José Figueroa-O'Farrill
  Generalised Kähler manifolds
• Monday, 15 November 2004
  Emily Hackett-Jones
  Supergravity backgrounds from generalised Calabi-Yau manifolds, I
• Monday, 22 November 2004
  Emily Hackett-Jones
  Supergravity backgrounds from generalised Calabi-Yau manifolds, II
• Monday, 29 November 2004
  José Figueroa-O'Farrill
  Submanifolds in generalised complex geometry
• Monday, 6 December 2004
  David Calderbank
  Gerbes in generalised geometry, I
• Monday, 13 December 2004
  David Calderbank
  Gerbes in generalised geometry, II
• Monday, 24 January 2005
  David Calderbank
  Metrics from differential forms, I
• Monday, 31 January 2005
  José Figueroa-O'Farrill
  Metrics from differential forms, II

References

This list will be updated periodically.

• Nigel Hitchin, Lectures on special lagrangian submanifolds
• Nigel Hitchin, The geometry of three-forms in six and seven dimensions
• Nigel Hitchin, Stable forms and special metrics
• Nigel Hitchin, Generalized Calabi-Yau manifolds
• Nigel Hitchin, Geometry with B-fields III
• Daniel Huybrechts, Generalized Calabi-Yau structures, K3 surfaces, and B-fields
• Stephane Fidanza, Ruben Minasian and Alessandro Tomasiello, Mirror symmetric SU(3)-structure manifolds with NS fluxes
• Marco Gualtieri, Generalized complex geometry
• Ulf Lindström, Ruben Minasian, Alessandro Tomasiello and Maxim Zabzine, Generalized complex manifolds and supersymmetry
• Chris Hull, A geometry for non-geometric string backgrounds
• Mariana Graña, Ruben Minasian, Michela Petrini and Alessandro Tomasiello, Supersymmetric backgrounds from generalized Calabi-Yau manifolds
• Anton Kapustin and Yi Li, Topological sigma-models with H-flux and twisted generalized complex manifolds
• Marco Gualtieri, Generalized geometry and the Hodge decomposition
• Mariana Graña, Ruben Minasian, Michela Petrini and Alessandro Tomasiello, Type II strings and generalized Calabi-Yau manifolds
• Anton Gerasimov and Samson Shatashvili, Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds
• Anton Alekseev and Thomas Strobl, Current algebras and differential geometry
• Robbert Dijkgraaf, Sergei Gukov, Andrew Neitzke and Cumrun Vafa, Topological M-theory as unification of form theories of gravity

Extra Bibliography

• Alan Weinstein, Groupoids: unifying internal and external symmetry
• Sébastien Racanière, Lie algebroids, Lie groupoids and Poisson geometry
• Theodore Courant, Dirac manifolds
• Zhang-Ju Liu, Alan Weinstein and Ping Xu, Manin triples for Lie bialgebroids