# Abstracts

**Nikita Nekrasov,
"Supersymmetric vacua, quantum cohomology, and
Bethe ansatz"**

The equivariant quantum cohomology, K-theory, and elliptic cohomology
of various hyperkahler quotients are identified with the quantum
integrable systems, such as spin chains or many-body systems. In
particular, the cotangent bundle to the Grassmanian is mapped to the
Heisenberg magnet.

The spectrum of the operators of quantum multiplication is identified with the solutions of the Bethe equations.

The generalized Donaldson theory on the product of a two-sphere and a Riemann surface lead to the instanton corrected Bethe equations.

Based on the joint work with S. Shatashvili

The spectrum of the operators of quantum multiplication is identified with the solutions of the Bethe equations.

The generalized Donaldson theory on the product of a two-sphere and a Riemann surface lead to the instanton corrected Bethe equations.

Based on the joint work with S. Shatashvili