Center Seminar on Mondays / Fall2019

Center for Advanced Studies
Seminar on Mondays at 14.30 at Skoltech

September 16, 2019 / Igor Krichever (Skoltech, HSE Univ., Columbia Univ.)
= = = Bethe ansatz equations and integrable systems of particles
September 23, 2019 / Leonid Rybnikov (HSE Univ., IITP)
= = = Gaudin model and crystals
September 30, 2019 / Misha Verbitsky (IMPA, Rio de Janeiro, HSE Univ.)
= = = Hyperkahler structure on the space of quasi-Fuchsian representations
October 7, 2019 / Kirill Polovnikov (Moscow State Univ., Skoltech)
= = = Gaussian model of topologically stabilized polymer states
October 14, 2019 / Albert Schwarz (Univ. of California, Davis)
= = = Geometric approach to quantum theory

October 21, 2019 at 11.30
Florent Ygouf
(Tel-Aviv Univ.)
Isoperiodic dynamics in rank 1 affines manifolds

A central problem in Teichmüller theory is the understanding of the dynamics of the action of the GL_2(R) action on the moduli space of translation surfaces. A recent and powerful result of Eskin Mirzakhani and Mohammadi has shed light on the structure of the closed invariant sets: they are affine submanifolds.
During this talk, I will define a foliation on those affine manifolds that generalizes the isoperiodic foliation on the moduli space and focus on the dynamics of their leaves in the rank 1 case: they are either closed or dense and ergodic

October 21, 2019 at 14.30
Nikita Nekrasov
(Simons Center for Geometry and Physics, Skoltech)
On recent progress in old problems: wavefunctions of quantum integrable systems from gauge theory and Bethe/gauge dual of N=4 super-Yang-Mills theory / Part II

I will give a pedagogical introduction to crossed and folded instantons with the emphasis on applications to quantum integrable systems. I will also discuss a generalization of Bethe/gauge correspondence which is necessary to encompass the Bethe ansatz equations for the Y(gl(4|4)) spin chains recently proposed in the context of AdS/CFT correspondence