5 papers
Fluid dynamics as intersection problem
Nikita Nekrasov, Paul Wiegmann
We formulate the equations of fluid dynamics as an intersection-theoretic problem on an infinite-dimensional symplectic manifold naturally associated with spacetime. This perspecti…
Lectures on Gauge theories and Many-Body systems
Igor Chaban, Nikita Nekrasov
These lectures study two correspondences between gauge theories and integrable many-body systems. The first arises from infinite-dimensional Hamiltonian reduction and relates gauge…
Yang-Mills flows for multilayered graphene
Vasilii Iugov, Nikita Nekrasov
We clarify the origin of magic angles in twisted multilayered graphene using Yang-Mills flows in two dimensions. We relate the effective Hamiltonian describing the electrons in the…
di-Langlands correspondence and extended observables
Saebyeok Jeong, Norton Lee, Nikita Nekrasov
We explore the using the four dimensional super-QCD. Surface defects and surface observables play the crucial role.…
Harmonic locus and Calogero-Moser spaces
Giovanni Felder, Alexander P. Veselov
We study the harmonic locus consisting of the monodromy-free Schrödinger operators with rational potential and quadratic growth at infinity. It is known after Oblomkov that it can…