Stefano Filipazzi

University of Utah

Algebraic Geometry Student Seminar

The Algebraic Geometry Student Seminar meets on Monday, 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)!


1/9 Organizational meeting  
1/23 Affine Groups Javier   Notes
1/30 Localization in Gromov-Witten Theory   Honglu Notes
2/6 The Moduli Problem for Varieties of General Type   Stefano Notes
2/13 An Introduction to K3 Surfaces Matteo Notes
2/27 Space of Arcs and Singularities Ziwen Notes
3/6 An Introduction to Variations of Hodge Structures Erjuan Notes
3/20 Rational Curves and the Minimal Model Program Yuan Notes
3/27 Dual Complexes and Kontsevich-Soibelman Skeleta   Jakub Notes
4/3 Counting Rational Curves in Projective Spaces Huachen Notes
4/10 Kodaira Dimension and Zeroes of Holomorphic One-Forms   Chuanhao   Notes
4/17   Grassmannians, quantum cohomology, and TQFTs   Thomas Notes
4/24 Exceptional Collections and Surface-like Categories Franco 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