The University of Edinburgh
The School of Mathematics

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Colloquia, seminars and PG courses in 2006/7

• Semester 2, 2006/7: Introduction to geometric Langlands

  Mondays, 11.10am–12.40pm, Room 4312, starting 22nd January (NOTE CHANGE OF DAY/TIME)

  Prof. Constantin Teleman will be teaching an 8-lecture PG course on the geometric Langlands correspondence over C. It will focus on the classical ingredients of the correspondence, namely coherent sheaves, Fourier-Mukai transform, moduli of Higgs bundles and the Hitchin system, as well as D-modules and the relation to loop groups. Time permitting, we will review the new ideas in the work of Witten, Kapustin and Gukov.
  Notes (Available only from Edinburgh University machines).

• Semesters 1+2, 2006/7: BRST Cohomology (Website)

  Prof. José Figueroa-O’Farrill will be teaching a 6-lecture PG course on the homological approach to symplectic reduction (a.k.a. BRST cohomology). It is expected there will be two lectures per week in weeks 1–3 of the first semester.

• Semester 1, 2006/7: Complex Algebraic Surfaces

  Wednesdays, 2pm–4pm, Room 4312

  Dr. Ivan Cheltsov will be teaching a PG course on algebraic surfaces following the book of Beauville Complex algebraic surfaces with an additional source http://arxiv.org/abs/alg-geom/9602006. A little is supposed to be known. The class will meet once a week for 2 hours.

• Semester 1, 2006/7: Differential Calculus

  Thursdays, 9.30am–11am, Room 4312, starting week 3

  Prof. Jim Wright lectures on calculus and analysis in arbitrary vector spaces and on differential manifolds.

• Semester 1, 2006/7: Algebraic Topology

  Tuesdays or Thursdays, 3pm–4pm, Room 4312

  Prof. Andrew Ranicki teaches homology theories and other basic aspects of Algebraic Topology.
  Lecture 1: Tuesday, October 10. Lecture 2: Tuesday, October 24. Lecture 3: Thursday, November 2. Lecture 4: Thursday, November 16. Lecture 5: Tuesday, November 21. Lecture 6: Thursday, November 30. Lecture 7: Thursday, December 7. Lecture 8: Friday, December 15.

• Semester 1, 2006/7: Sheaves

  Mondays, 9.30am–11am, Room 4312, starting week 3

  Dr. Antony Maciocia gives this course on sheaf theory, taking a top-down approach with introductions to category theory whenever necessary.

• Semester 1, 2006/7: Vertex algebras

  11.15am–12.45pm. Lecture 1: Thursday, 30 November, JCMB 5326. Lecture 2: Tuesday, 5 December JCMB 6301. Lecture 3: Thursday, 7 December, JCMB 6206.

  Dr. Nils Scheithauer. Course website.