∙ 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

## Algebraic Geometry seminars

Current Organizers: Michele Graffeo

The new series of Algebraic Geometry seminars is now focused on research talks, both from internal students and external professors.

The new series of Algebraic Geometry seminars is now focused on research talks, both from internal students and external professors.

## Algebraic Geometry seminar 2021/2022

**1 First series - Algebraic Stacks**

Date | Time | Room | Speaker | Seminar |

January 27 | 16:30 | 136 | Andrea Grossutti (SISSA) | Yoneda lemma, representable functors and group objects |

February 02 | 16:30 | 136 | Alessandro Nobile (SISSA) | Sites and sheaves on sites |

February 11 | 16:30 | 136 | Alessandro Nobile (SISSA) | Sites and sheaves on sites - Part II |

February 18 | 16:30 | 136 | Alessandro Lehmann (SISSA) | Fibered categories and pseudofunctors |

February 25 | 16:30 | 136 | Paolo Tomasini (SISSA) | Fibered categories - part II |

March 03 | 16:30 | 136 | Ajay Gautam (SISSA) | Motivating stacks using moduli theory |

March 11 | 16:30 | 136 | Hayato Morimura (SISSA) | Descent of objects of fibered categories |

March 18 | 16:30 | 136 | Barbara Fantechi (SISSA) | Descent theory for quasi-coherent sheaves |

**2 Second series - Canonical Singularities**

Date | Time | Room | Speaker | Seminar |

March 25 | 16:30 | 136 | Michele Graffeo (SISSA) | HOW TO GET YOUR HANDS DIRTY WITH CANONICAL SINGULARITIES |

April 01 | 16:30 | 136 | Michele Graffeo (SISSA) | On the Behrend function and the blowup of some fat points |

April 08 | 16:30 | 136 | Ajay Gautam (SISSA) | Introduction to Canonical singularities |

April 22 | 16:30 | 136 | Alessandro Nobile (SISSA) | A brief summary of the theory of canonical singularities |

April 29 | 16:30 | 136 | Dmitrii Rachenkov (SISSA) | Higher direct images for resolutions of normal surface singularities |

May 06 | 16:30 | 136 | Sohaib Khalid (SISSA) | Rational surface singularities |

May 13 | 16:30 | 136 | Umar Shahzad (SISSA) | Toric methos for hyperquotient singularities |

## Mathematical Physics and Integrable Systems

Date | Time | Room | Speaker | Seminar |

February 14 | 11:00 | TBA | Giorgio Gubbiotti | Co-algebra symmetry for discrete systems |