Seminar: non-commutative geometry and instantons

WORKING SEMINAR:

NON-COMMUTATIVE GEOMETRY AND INSTANTONS

Fridays 2.30 in L2, Mathematical Institute

This seminar will look at recent work on non-commutative versions of the ADHM construction, Nahm transform, twistor transform etc, and is intended to cover the relevant background material as well as the new results, so that it should be accessible to non-experts.

5 May	Keith Hannabuss, Introduction and overview
12 May	Nigel Hitchin, The ADHM construction
19 May	No Seminar, (LMS/BSHM meeting)
26 May	Philip Candelas, The Seiberg-Witten paper
2 June	Graeme Segal, B-fields
9 June	Ioannis Zois, Path integral contribution from non-commutative solitons in M-Theory
16 June	Justin Sawon, Hilbert schemes and non-commutative instantons
23 June	Keith Hannabuss, Morita equivalence, duality, and the twistor transform

SHORT BIBLIOGRAPHY

The papers on which the series is to be based include:

A. Connes , M.R Douglas and A.S. Schwarz, Non-commutative geometry and matrix theory, hep-th/9711162.
N. Nekrasov and A.S. Schwarz, Instantons on non-commutative ${\bf R}^4$ and (2,0) superconformal six-dimensional theory, Comm. math. Phys. 198 (1998) 689-703.
A. Astashkevitch, N. Nekrasov and A.S. Schwarz, On the non-commutative Nahm transform, hep-th/9810165.
N. Seiberg and E. Witten, String theory and non-commutative geometry, hep-th/9908142.
A. Kapustin, A. Kuznetsov and D. Orlov, Non-commutative instantons and the twistor transform, hep-th/0002193.

This page was last updated on 2 June 2000

by KC Hannabuss

email: kch@ermine.ox.ac.uk