Schubert Varieties, Equivariant Cohomology and Characteristic Classes
Subtitle: Impanga 15
By: Jarosław Buczyński, Mateusz Michałek, Elisa Postinghel, editors
Series: EMS Series of Congress Reports (ECR); EMS series of congress reports
Publisher: European Mathematical Society Publishing House
Published: 2018
Place of publication: Zuerich, Switzerland
Language: eng
Number of pages: 354
ISBN-13: 9783037196823
Subjects: Schubert varieties; Congresses; Algebraic Geometry; Variétés de Schubert; Congrès; Géométrie algébrique; Analytic geometry; MATHEMATICS; Geometry; General; Algebraic geometry; Several complex variables and analytic spaces; Algebraic topology
Description: 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.
Notes: Includes bibliographical references.
Table of contents: title: Introduction  -- Jarosław Buczyński, Mateusz Michałek, Elisa Postinghel; title: Friedrich Hirzebruch -- a handful of reminiscences  -- Piotr Pragacz; title: Pieri rule for the factorial Schur $P$-functions  -- Soojin Cho, Takeshi Ikeda; title: Restriction varieties and the rigidity problem  -- Izzet Coskun; title: On Plücker equations characterizing Grassmann cones  -- Letterio Gatto, Parham Salehyan; title: Kempf-Laksov Schubert classes for even infinitesimal cohomology theories  -- Thomas Hudson, Tomoo Matsumura; title: On the multicanonical systems of quasi-elliptic surfaces in characteristic 3  -- Toshiyuki Katsura; title: Characteristic classes of mixed Hodge modules and applications  -- Laurentiu Maxim, Jörg Schürmann; title: On a certain family of $U(\mathfrak b)$-modules  -- Piotr Pragacz; title: Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae  -- Richárd Rimányi, Alexander Varchenko; title: Thom polynomials in $\mathcal A$-classification I: counting singular projections of a surface  -- Takahisa Sasajima, Toru Ohmoto; title: Schubert polynomials and degeneracy locus formulas  -- Harry Tamvakis; title: Hirzebruch $\chi_y$-genera of complex algebraic fiber bundles -- the multiplicativity of the signature modulo 4  -- Shoji Yokura; title: Pushing-forward Schur classes using iterated residues at infinity -- Magdalena Zielenkiewicz.