Introduction / Jarosław Buczyński, Mateusz Michałek, Elisa Postinghel -- Friedrich Hirzebruch - a handful of reminiscences / Piotr Pragacz -- Pieri rule for the factorial Schur $P$-functions / Soojin Cho, Takeshi Ikeda -- Restriction varieties and the rigidity problem / Izzet Coskun -- On Plücker equations characterizing Grassmann cones / Letterio Gatto, Parham Salehyan -- Kempf-Laksov Schubert classes for even infinitesimal cohomology theories / Thomas Hudson, Tomoo Matsumura -- On the multicanonical systems of quasi-elliptic surfaces in characteristic 3 / Toshiyuki Katsura -- Characteristic classes of mixed Hodge modules and applications / Laurentiu Maxim, Jörg Schürmann -- On a certain family of $U(\mathfrak b)$-modules / Piotr Pragacz -- Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae / Richárd Rimányi, Alexander Varchenko -- Thom polynomials in $\mathcal A$-classification I: counting singular projections of a surface / Takahisa Sasajima, Toru Ohmoto -- Schubert polynomials and degeneracy locus formulas / Harry Tamvakis -- Hirzebruch $\chi_y$-genera of complex algebraic fiber bundles - the multiplicativity of the signature modulo 4 / Shoji Yokura -- Pushing-forward Schur classes using iterated residues at infinity / Magdalena Zielenkiewicz
IMPANGA stands for the activities of Algebraic Geometers at the Institute of Mathematics, Polish Academy of Sciences, including one of the most important seminars in algebraic geometry in Poland. The topics of the lectures usually fit within the framework of complex algebraic geometry and neighboring areas of mathematics. This volume is a collection of contributions by the participants of the conference IMPANGA15, organized by participants of the seminar, as well as notes from the major lecture series of the seminar in the period 2010-2015. Both original research papers and self-contained expository surveys can be found here. The articles circulate around a broad range of topics within algebraic geometry such as vector bundles, Schubert varieties, degeneracy loci, homogeneous spaces, equivariant cohomology, Thom polynomials, characteristic classes, symmetric functions and polynomials, and algebraic geometry in positive characteristic