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Bethe ansatz and Schubert calculus

GFM seminar

CIUL, B2-01

2008-03-14 14:30 .. 15:30

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by Vitaly Tarasov (Indiana University - Purdue University Indianapolis, USA)

I will discuss the relation between the algebraic Bethe ansatz for quantum integrable models and Schubert calculus in algebraic geometry discovered in the last five years. This relation turns out to be important and fruitful in both directions. The remarkable consequence is the completeness of the Bethe ansatz for the Gaudin model associated with the Lie algebra gl_N and for the XXX spin-1/2 Heisenberg model.

Past conference highlights: Symmetries in Quantum Physics 2017; Advances in Mathematical Fluid Mechanics, Stochastic & Deterministic Methods; Quantum Integrable Systems and Geometry; Chern-Simons Gauge Theory: 20 years after; Second Workshop on Quantum Gravity and Noncommutative Geometry; Infinite Dimensional Algebras and Quantum Integrable Systems II; Stochastic Analysis in Mathematical Physics; Mathematics in Chemistry; Geometric Aspects of Integrable Systems; ICMP 2003