Fields Academy Shared Graduate Course: Algebraic Geometry
Instructor: Prof. Kirill Zainoulline
Email:
Application Deadline: January 17th, 2021
Lecture Times: Mondays | 11:30 am - 12:50 pm and Wednesdays | 10:00 am - 11:20 am
Course Dates: January 11th - April 12th, 2021
Course Overview
A brief overview of commutative algebra: rings and ideals, Nakayama's Lemma, localization, Krull-dimension, direct-limits, integral dependence. Toward algebraic varieties: Regular functions, algebraic sets, Hilbert's Nullstellensatz, Zariski topology, ringed spaces, affine and projective varieties. Toward sheaves and group schemes: functors of points, Grothendieck topologies, representable functors, group schemes, tori, Grassmannians, torsors and twisted forms, quadrics and Severi-Brauer varieties.
*Lecture recordings can be found here*
Schedule
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
| 10:00 to 11:20 |
Kirill Zainoulline, University of Ottawa |
| 11:30 to 12:50 |
Kirill Zainoulline, University of Ottawa |
