| Grant number: | 11/09782-6 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctorate |
| Effective date (Start): | September 01, 2011 |
| Effective date (End): | August 31, 2014 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Igor Mencattini |
| Grantee: | Alberto Tacchella |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract The aim of this project is a thorough investigation of the geometry of the phase space of the Gibbons-Hermsen integrable system. This is a generalization of the rational Calogero-Moser system in which the point particles are endowed with some additional degrees of freedom. In this research project we propose to extend to the Gibbons-Hermsen system the well-known relationship between the Calogero-Moser phase space, the Hilbert scheme of points in the complex plane and the space of equivalence classes of projective modules of rank 1 in the first Weyl algebra. | |
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