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Room P3.10, Mathematics Building

Peter Newstead, University of Liverpool

Vector Bundles on Algebraic Curves: quotients in algebraic geometry

There are various methods of constructing quotients in algebraic geometry. The lecture will concentrate on Mumford’s Geometric Invariant Theory (GIT).

References

  • P. E. Newstead, Introduction to Moduli Problems and Orbit Spaces, Tata Institute Lecture Notes on Mathematics, Vol 51, 1978.
  • I. Dolgachev, Introduction to Geometric Invariant Theory, Lecture Note series 25, Seoul National University, Research Institute of Mathematics Global Analysis Research Centre, Seoul, 1994.
  • D. Mumford, J. Fogarty and F. Kirwan, Geometric Invariant Theory, 3rd. edition, Springer-Verlag, Berlin, 1994.