BAGELS is a weekly grad-student-led seminar on Algebraic Geometry, where bagels and mathematical ideas are shared. It takes place on Wednesdays from 3:15-4:15pm in JWB 208. If you have any questions about the seminar (other than what BAGELS stands for), feel free email one of the organizers: Daniel Apsley and Rahul Ajit. (apsley(at)math.utah.edu, rahulajit(at)math.utah.edu)
| January 15 | Rahul Aji | A survey on Vanishing theorems in Birational Geometry. | After giving motivation for why should one care about Vanishing theorems of cohomology groups, I'll survey major vanishing results appearing ubiquitously in birational geometry over complex numbers. As I want to make this talk very accessible, I won't give any detailed proof. |
| January 22 | Daniel Apsley | Quotients in Algebraic Geometry | Quotients, or understanding the geometry of orbits of a given group action, is an important concept in geometry. In this talk, I want to discuss the problem of constructing quotients in algebraic geometry by reviewing which quotients can be constructed as schemes via GIT, and concluding with some generalities on algebraic spaces and stacks, to show that these abstract notions provide a more convenient framework for this problem. |
| January 29 | N/A | Title TBD | Abstract TBD |
| Febuary 5 | Zach Mere | Differentials on arc spaces | In this talk, we'll describe the sheaves of Kähler differentials of the arc space and jet schemes. The resulting formulas can be applied to derive new results and simplify the proofs of some theorems in the literature. We'll start by briefly reviewing some of the basic definitions and facts in the theory of arc spaces, then we'll compute several examples. |
| Febuary 12 | Jack Cook | Title TBD | Abstract TBD |
| Febuary 19 | Jack Cook | Title TBD | Abstract TBD |
| Febuary 26 | Jonathon Fleck | Title TBD | Abstract TBD |
| March 5 | Yu-Ting Huang | Title TBD | Abstract TBD |
| March 19 | Gari Chua | Title TBD | Abstract TBD |
| March 26 | Speaker TBD | Title TBD | Abstract TBD |
| April 2 | Speaker TBD | Title TBD | Abstract TBD |
| April 9 | Speaker TBD | Title TBD | Abstract TBD |
| April 16 | Speaker TBD | Title TBD | Abstract TBD |