Algebra and Number Theory Seminar
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Posted November 3, 2018

Last modified January 19, 2019

Ignacio Nahuel Zurrian, Universidad Nacional de Cordoba (National University of Cordoba)

Completeness of the Bethe Ansatz for an open qq-boson system with integrable boundary interactions

We employ a discrete integral-reflection representation of the double affine Hecke algebra of type $C^V$$C$ at the critical level $q=1$, to endow the open finite q-boson system with integrable boundary interactions at the lattice ends. It is shown that the Bethe Ansatz entails a complete basis of eigenfunctions for the commuting quantum integrals in terms of Macdonald's three-parameter hyproctahedral Hall-Littlewood polynomials. This is a joint work with J.F. van Diejen and E. Emsiz.

Colloquium
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Posted January 11, 2019

Last modified January 14, 2019

William Feldman, University of Chicago

Interfaces in inhomogeneous media: pinning, hysteresis, and facets

Abstract: I will discuss some models for the shape of liquid droplets on rough solid surfaces. The framework of homogenization theory allows to study the large scale effects of small scale surface roughness, including interesting physical phenomena such as contact line pinning, hysteresis, and formation of facets.