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)!
Schedule
| 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.