Stefano Filipazzi

University of Utah

Algebraic Geometry Student Seminar

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

Possible Topics

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.


AG Student Seminar