Here is the schedule of talks:

Sep 19 | Fuchsian theory of linear differential operators [1, Sections 2-3] | Stiofáin Fordham |

Oct 3 | Monodromy of hypergeometric differential equations (Levelt's theorem) [2] optional sub-topic: criterion of algebraicity (Beukers-Heckman) | Nathan Ilten |

Oct 10 | Proof of the rigidity theorem [2] | Iryna Raievska |

Oct 17 | Regular singularities and monodromy [3, Section 1] | Maryna Raievska |

Oct 24 | Construction of a cyclic vector, after Katz [3, Section 2] | Stiofáin Fordham |

Oct 31 | Riemann--Hilbert correspondence [4] | Wojciech Wawrów |

Nov 7 | Riemann--Hilbert correspondence (continued) | Wojciech Wawrów |

Nov 21 | Gauss--Manin connection with explicit examples [5] | Maryna Raievska |

Nov 27 | Project discussion | Masha Vlasenko |

- F. Beukers, Gauss' hypergeometric function
- F. Beukers, Hypergeometric functions of one variable
- A. Haefliger, Local theory of meromorphic connections in dimension 1 (Fuchs theory), Chapter III in Borel et al, Algebraic D-modules
- B. Malgrange, Regular connections, after Deligne, Chapter IV in Borel et al, Algebraic D-modules
- K. Kedlaya, p-adic cohomology: from theory to practice