University of Utah

The Algebraic Geometry Student Seminar meets on Wednesday, from 3.15 p.m. to 4.15 p.m., room LCB 323.

This seminar provides an informal and relaxed environment where grad students can talk about algebraic geometry. If you have any questions, please contact Stefano (you can see the email in the sidebar)!

8/24 | Toric Varieties | JoaquĆn | Notes |

8/31 | An Introduction to Abelian Varieties | Stefano | Notes |

9/7 | An Overview of Hodge Theory | Matteo | Notes |

9/14 | The Universal Double Point Formula | Thomas | Notes |

9/21 | Symmetric Products and the Hilbert Scheme of Points | Franco | Notes |

9/28 | Embeddings of Curves and Syzygies | Marin | Notes |

10/5 | Positive Characteristic Phenomena | Daniel | Notes |

10/19 | An Example of a Strictly Nef Divisor | Yen-An | Notes |

10/26 | The Grothendieck Ring of Varieties | Ziwen | Notes |

11/2 | Flag Varieties | Matt | Notes |

11/9 | Elliptic Curves over Finite Fields | Allechar | Notes |

11/16 | Modular Curves and Modular Forms | Christian | Notes |

11/23 | Test Ideals | Andrew | Notes |

11/30 | T-Structure, Perverse Sheaves, and Generic Vanishing | Chuanhao | Notes |

12/7 | D-Modules | Anna | Notes |

Here is a list of topics we could talk about: basic positivity (e.g. ampleness, nefness, cones, etc.), cyclic covers, étale fundamental group, K3 surfaces, determinantal varieties, tropical geometry, flag varieties, hypersurfaces and complete intersections, abelian and derived categories, examples of singular varieties.

A more advanced listed of topics may include: introduction to GW-theory, bend and break, Brill-Noether theory, Hilbert scheme and moduli, singularities of the Theta divisor, Torelli theorem, Iitaka fibration, Hard-Lefschetz theorem, Seshadri constants, multiplier ideals, jet schemes, invariance of plurigenera, Zariski decomposition anf Fujita approximation, local cohomology, stacks, resolution of singularities, Castelnuovo-Mumford regularity.

filipazz (at) math (dot) utah (dot) edu

JWB 209

Phone: (801) 581-6846

Stefano Filipazzi

University of Utah

Department of Mathematics

155 S. 1400 E.

JWB 233

Salt Lake City, UT 84112-0090