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Full Description
This volume contains the proceedings of the virtual conference on Hypergeometry, Integrability and Lie Theory, held from December 7-11, 2020, which was dedicated to the 50th birthday of Jasper Stokman. The papers represent recent developments in the areas of representation theory, quantum integrable systems and special functions of hypergeometric type.
Contents
P. Etingof and D. Kazhdan, Characteristic functions of $p$-adic integral operators
A. Gabrali and P. Zinn-Justin, Shuffle algebras, lattice paths and the commuting scheme
S. Kolb, The bar involution for quantum symmetric pairs - hidden in plain sight
T. H. Koornwinder, Charting the $q$-Askey scheme
E. M. Rains, Filtered deformations of elliptic algebras
V. Regelskis and B. Vlaar, Pseudo-symmetric pairs for Kac-Moody algebras
N. Reshetikhin and J. V. Stokman, Asymptotic boundary KZB operators and quantum Calogero-Moser spin chains
M. Rosler and M. Voit, Elementary symmetric polynomials and martingales for Heckman-Opdam processes
V. Schomerus, Conformal hypergeometry and integrability
A. Varchenko, Determinant of $\mathbb{F}_p$-hypergeometric solutions under ample reduction
A. Varchenko, Notes on solutions of KZ equations modulo $p^s$ and $p$-adic limit $s\to\infty$ (with an appendix by Steven Sperber and Alexander Varchenko).