- This event has passed.
Quantum Cohomology, Nakajima Varieties and Quantum groups
January 25, 2018 @ 2:21 pm
During the Spring 2018 Semester Artan Sheshmani (QGM/CMSA) will be teaching a CMSA special lecture series on Quantum Cohomology, Nakajima Vareties and Quantum groups. The lectures will be held Tuesdays and Thursdays beginning January 25th, from 1:00 to 3:00pm in room G10, CMSA Building.
You can watch Prof. Sheshmani describe the series here.
The Syllabus is as follows:
| Date……….. | Topic | Video/Audio |
| 1-25-2018 | Gromov-Witten invariants
Definition, examples via algebraic geometry I |
Video / Audio / Combined
|
| 2-01-2018 | Gromov-Witten invariants
Virtual Fundamental Class I (definition) |
Video / Audio / Combined
|
| 2-13-2018 | Gromov-Witten invariants
Virtual Fundamental Class II (computation in some cases) |
|
| 2-15-2018 | Computing GW invariants
Three level GW classes Genus zero invariants of the projective plane |
|
| 2-20-2018 | Quantum Cohomology
Small Quantum Cohomology (Definition and Properties) I |
|
| 2-22-2018 | Quantum Cohomology
Small Quantum Cohomology (Definition and Properties) II |
|
| 2-27-2018 | Quantum Cohomology
Big Quantum Cohomology I |
|
| 3-1-2018 | Quantum Cohomology
Big Quantum Cohomology II GW potential WDVV equation |
|
| 3-6-2018 | GW invariants via Quantum Cohomology
The Quintic threefold case The P^2 case |
|
| GW invariants via Quantum Cohomology
Dubrovin (quantum) connection |
||
| Nakajima varieties
-Algebraic and symplectic reduction |
||
| Nakajima varieties
Quasi maps to Nakajima varieties |
||
| Quantum cohomology of Nakajima varieties
Small Quantum Cohomology of Hilb^n (C2) I |
||
| Quantum cohomology of Nakajima varieties
Small Quantum Cohomology of Hilb^n (C2) II |
||
| Quantum cohomology of Nakajima varieties
Small Quantum Cohomology of Hilb^n (C2) III |
||
| Quantum cohomology of Nakajima varieties
Big Quantum Cohomology of Hilb^n (C2) I |
||
| Quantum cohomology of Nakajima varieties
Big Quantum Cohomology of Hilb^n (C2) II |
||
| Quantum cohomology of Nakajima varieties
Big Quantum Cohomology of Hilb^n (C2) III |
||
| Quantum cohomology of Nakajima varieties
Big Quantum Cohomology of Hilb^n (C2) IV |