Quantum Cohomology, Nakajima Varieties and Quantum groups

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 *due to technical difficulties the audio and video are split for this lecture.
2-01-2018	Gromov-Witten invariants Virtual Fundamental Class I (definition)	Video / Audio / Combined *due to technical difficulties the audio and video are split for this lecture
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