Symmetry: Representation Theory and Its Applications

Preface. - Publications of Nolan R. Wallach. - Unitary Hecke algebra modules with nonzero Dirac cohomology. - On the nilradical of a parabolic subgroup. - Arithmetic invariant theory. - Structure constants of Kac-Moody Lie algebras. - The Gelfand-Zeitlin integrable system and K-orbits on the flag variety. - Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties. - A conjecture of Sakellaridis-Venkatesh on the unitary spectrum of spherical varieties. - Proof of the 2-part compositional shuffle conjecture. - On symmetric SL-invariant polynomials in four qubits. - Finite maximal tori. - Sums of Littlewood Richardson coefficients and GLn-harmonic polynomials. - Polynomial functors and categorifications of Fock space. - Pieri algebras and Hibi algebras in representation theory. - Action of the conformal group on steady state solutions to Maxwell s equations and background radiation. - Representations with a reduced null cone. - M-series and Kloosterman Selberg zetafunctions for R-rank one groups. - Ricci flow and manifolds with positive curvature. - Remainder formula and zeta expression for extremal CFT partition functions. - Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups.