Geometrical Methods in Contemporary Mathematical Physics

Geometrical Methods in Contemporary Mathematical Physics

Members of the Research Group: :
Claudio Bartocci, Igor Mencattini (Sissa), Claudio Rava (Ph. Student, Sissa), Alberto Tacchella (Ph.D. student, Genova)
External Collaborators (on a regular basis):
Ugo Bruzzo (Sissa), Daniel Hernández Ruipérez (Universidad de Salamanca), Marcos Jardim (Universidade Estadual de Campinas), Giovanni Ortenzi (Università Milano Bicocca), Marco Pedroni

Current Research Topics

Calogero-Moser spaces and Hilbert schemes of points (with I. Mencattini and A. Tacchella)
Classical Integrable Systems (see the PRIN Research Programm Algebraic Integrable Systems)

Special Kähler geometry (with I. Mencattini)
Geometry of omega-N manifolds and separation of variables (with Gregorio Falqui and Marco Pedroni)
Integrable systems associated to linear systems on complex surfaces
Fourier-Mukai transforms (with Daniel Hernández Ruipérez and Ugo Bruzzo)

FM transforms and moduli spaces of sheaves over algebraic surfaces
Elliptic fibrations and dualities in string theories
Nahm transforms and instantons over ALE spaces (with Marcos Jardim)

Seminario Geometria & Fisica

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Last Update: January 5, 2010