A tribute to Friedrich Hirzebruch, the founder of the Arbeitstagung conference series, by renowned mathematicians

The Hirzebruch signature theorem for conical metrics.- Depth and the local Langlands correspondence.- Guide to elliptic boundary value problems for Dirac-type operators.- Symplectic and hyperkähler implosion.- Kazhdan-Lusztig conjectures and shadows of Hodge theory.- Uniform sup-norm bounds on average for cusp forms of higher weights.- Fivebranes and 4-manifolds.- Higgs bundles and characteristic classes.- Hirzebruch-Milnor classes and Steenbrink spectra of certain projective hypersurfaces.- On Lusztig's q-analogues of all weight multiplicities of a representation.- The triangulation of manifolds: topology, gauge theory, and history.- Elliptic Calabi-Yau threefolds over a del Pezzo surface.- Remarks on cohomological Hall algebras and their representations.- A stratification on the moduli of K3 surfaces in positive characteristic.- The right adjoint of the parabolic induction.