∙ Integrable systems in relation with differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds
• Deformation theory, moduli spaces of sheaves and of curves, in relation with supersymmetric gauge theories, strings, Gromov-Witten invariants, orbifolds and automorphisms

• Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics

• Mathematical methods of quantum mechanics

• Mathematical aspects of quantum Field Theory and String
Theory

• Symplectic geometry, sub-riemannian geometry

• Geometry of quantum fields and strings

## Mathematical Colloquia 2019-2020

Date | Speaker | Seminar |

October 16, 2019 | Carolina Araujo (IMPA) | Tsen's Theorem and higher Fano manifolds |

October 28, 2019 | Peter Bürgisser (TU Berlin) | Efficient algorithms for moment polytopes and the null cone problem from invariant theory |

November 18, 2019 | Paola F. Antonietti (Polimi) | Numerical modeling of earthquake ground motion |

February 24, 2020 | Andreas Bernig (Frankfurt) | Algebraic Integral Geometry |

April 1, 2020 | Cinzia Casagrande (UNITO) | TBA |

May 21, 2020 | Domenico Marinucci (Tor Vergata) | TBA |