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Lecture Video

SES # Date Title Video
1 Nov. 13, 2017
16:30-18:30
Definition and basic properties of quantum cohomology. Quantum cohomology of projective spaces and of the Grassmannians. Video
2 Nov. 15, 2017
14:45-16:45
Review of equivariant cohomology and equivariant K-theory in general, and in the example of the Grassmann varieties. Equivariant quantum cohomology of the cotangent bundles T^*Gr. Video
3 Nov. 16, 2017
14:45-16:45
The action of sl(2) on the cohomology of T^*Gr and the representation-theoretic description of its equivariant quantum cohomology. The Yangian of gl(2) and the equivalence between quantum cohomology and a spin chain. Video
4 Nov. 20, 2017
16:30-18:30
Bethe Ansatz: the eigenvalues and eigenvectors in the spin chain, and their geometric meaning Video
5 Nov. 21, 2017
14:45-16:45
Beyond sl(2) and Grassmannians: an introduction to the enumerative geometry and representation-theoretic meaning of general Nakajima varieties. Video