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Schubert varieties, equivariant cohomology and characteristic classes. Impanga 15. Selected papers of the Impanga seminar, Będlewo, Poland, April 12–18, 2015 and notes from the major lecture series of the seminar in the period 2010–2015. A tribute to Friedrich Hirzebruch. (English) Zbl 1382.14002

EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-182-8/hbk; 978-3-03719-682-3/ebook). vi, 348 p. (2018).

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Publisher’s 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.
For the Impanga conference 2010 see [Zbl 1245.14003].
The articles of this volume will be reviewed individually.
Indexed articles:
Buczyński, Jarosław; Michałek, Mateusz; Postinghel, Elisa, Introduction to “Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15 volume”, 1-7 [Zbl 1387.14006]
Pragacz, Piotr, Friedrich Hirzebruch – a handful of reminiscences, 9-23 [Zbl 1387.14011]
Cho, Soojin; Ikeda, Takeshi, Pieri rule for the factorial Schur \(P\)-functions, 25-48 [Zbl 1394.14035]
Coskun, Izzet, Restriction varieties and the rigidity problem, 49-95 [Zbl 1387.14138]
Gatto, Letterio; Salehyan, Parham, On Plucker equations characterizing Grassmann cones, 97-125 [Zbl 1387.14127]
Hudson, Thomas; Matsumura, Tomoo, Kempf-Laksov Schubert classes for even infinitesimal cohomology theories, 127-151 [Zbl 1393.55005]
Katsura, Toshiyuki, On the multicanonical systems of quasi-elliptic surfaces in characteristic 3, 153-157 [Zbl 1393.14037]
Maxim, Laurenţiu; Schürmann, Jörg, Characteristic classes of mixed Hodge modules and applications, 159-202 [Zbl 1387.14032]
Pragacz, Piotr, On a certain family of \(U( \mathfrak{b})\)-modules, 203-224 [Zbl 1390.14164]
Rimányi, Richárd; Varchenko, Alexander, Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae, 225-235 [Zbl 1391.14108]
Sasajima, Takahisa; Ohmoto, Toru, Thom polynomials in \(\mathcal A\)-classification I: counting singular projections of a surface, 237-259 [Zbl 1408.14173]
Tamvakis, Harry, Schubert polynomials and degeneracy locus formulas, 261-314 [Zbl 1393.14053]
Yokura, Shoji, Hirzebruch \({\chi}_y\)-genera of complex algebraic fiber bundles-the multiplicativity of the signature modulo 4, 315-330 [Zbl 1391.14012]
Zielenkiewicz, Magdalena, Pushing-forward Schur classes using iterated residues at infinity, 331-345 [Zbl 1419.57050]

MSC:

14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
14L10 Group varieties
14M15 Grassmannians, Schubert varieties, flag manifolds
14J27 Elliptic surfaces, elliptic or Calabi-Yau fibrations
32M10 Homogeneous complex manifolds
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
00B25 Proceedings of conferences of miscellaneous specific interest

Biographic References:

Hirzebruch, Friedrich

Citations:

Zbl 1245.14003
Full Text: DOI