Stefano Filipazzi

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)!

Schedule

8/24	Toric Varieties	Joaquín	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.

Back

AG Student Seminar