The Japan-UK joint project follows the Sep 1999 Warwick EPSRC workshop "Modular invariants, operator algebras and quotient singularities", see www.maths.warwick.ac.uk/research/programmes/past/progs_98_9.html It aims for a deeper understanding of the following topics, which are at the centre of much recent research:
| Hilbert schemes of surfaces, G-Hilbert schemes and related spaces for higher dimensional orbifolds, ADE correspondences, subgroups of SL(2) and SL(3) and McKay correspondence, derived categories of moduli spaces, representation of infinite dimensional Lie algebras, modular invariance and analogous approaches in operator algebras (subfactors). |
The project involves a number of senior mathematicians from Japan and the UK, including Kawahigashi, Mukai, Nakajima, Nakamura, Kyoji Saito, and Bridgeland, Evans, Grojnowski, Gross, King and Reid. A follow up conference is planned at Kyoto Univ,. RIMS Mon 27th Nov- Sat 2nd Dec 2000, involving many of the same participants. For details, see www.math.sci.hokudai.ac.jp/~nakamura
Most of the lectures will take place during the final two weeks, Monday 31st July - Friday 11th August 2000.
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