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 
1252018  GromovWitten invariants
Definition, examples via algebraic geometry I 
Video / Audio / Combined

2012018  GromovWitten invariants
Virtual Fundamental Class I (definition) 
Video / Audio / Combined

2132018  GromovWitten invariants
Virtual Fundamental Class II (computation in some cases) 

2152018  Computing GW invariants
Three level GW classes Genus zero invariants of the projective plane 

2202018  Quantum Cohomology
Small Quantum Cohomology (Definition and Properties) I 

2222018  Quantum Cohomology
Small Quantum Cohomology (Definition and Properties) II 

2272018  Quantum Cohomology
Big Quantum Cohomology I 

312018  Quantum Cohomology
Big Quantum Cohomology II GW potential WDVV equation 

362018  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 