Research group in algebraic geometry and related areas
Academic staff
Enrico Arbarello, Ruggero Bandiera, Simone Diverio, Domenico Fiorenza, Marco Manetti, Gabriele Mondello, Kieran O'Grady, Riccardo Salvati Manni
Post-docs and graduate students
Francesco Meazzini,
Research areas
- Deformation theory (Fiorenza, Manetti, Meazzini). Deformations of complex manifolds and holomorphic maps, homotopical methods in deformation theory, differential graded Lie algebras, L-infinity algebras.
- Modular varieties (Salvati Manni) Moduli spaces of abelian varieties, modular varieties, Borcherds products, theta functions, modular forms.
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Riemann surfaces (Arbarello, Mondello). Hyperbolic surfaces, geometric structures on Riemann surfaces, Teichmüller theory, moduli spaces of curves,representations of surface groups, Higgs bundles.
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Chow groups (O'Grady): Chow rings of smooth projective varieties, Bloch-Beilinson conjectures.
- Hyperkaehler varieties (Arbarello, O'Grady). Projective geometry of hyperkaehler varieties. Moduli and periods. Deformation types.
- Higher structures in algebra and geometry (Manetti, Meazzini) Homotopy and cohomology theory of L-infinity algebras, derived brackets, formality criteria.
- Complex analytic, algebraic, and differential geometry (Diverio) Kobayashi hyperbolicity theory, positivity in complex algebraic geometry, special and extremal metrics on compact Kähler manifolds.