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Geometric and Topological Aspects of the Representation Theory of Finite Groups

PIMS Summer School and Workshop, July 27-August 5, 2016

  • Conference proceedings
  • © 2018

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Editors:
  1. Jon F. Carlson

    1. Department of Mathematics, University of Georgia, Athens, USA

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  2. Srikanth B. Iyengar

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Julia Pevtsova

    1. Department of Mathematics, University of Washington, Seattle, USA

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Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 242)

Included in the following conference series:

Conference proceedings info: PSSW 2016.

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Table of contents (20 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Restricting Homology to Hypersurfaces

    • Luchezar L. Avramov, Srikanth B. Iyengar
    Pages 1-23

  3. Thick Subcategories of the Relative Stable Category

    • Jon F. Carlson
    Pages 25-49

  4. Nilpotent Elements in Hochschild Cohomology

    • Karin Erdmann
    Pages 51-66

  5. Rational Cohomology and Supports for Linear Algebraic Groups

    • Eric M. Friedlander
    Pages 67-103

  6. Anderson and Gorenstein Duality

    • J. P. C. Greenlees, V. Stojanoska
    Pages 105-130

  7. Understanding Finite Dimensional Representations Generically

    • K. R. Goodearl, B. Huisgen-Zimmermann
    Pages 131-179

  8. Descent of Equivalences and Character Bijections

    • Radha Kessar, Markus Linckelmann
    Pages 181-212

  9. Length Categories of Infinite Height

    • Henning Krause, Dieter Vossieck
    Pages 213-234

  10. On Automorphisms and Focal Subgroups of Blocks

    • Markus Linckelmann
    Pages 235-249

  11. Extensions of the Benson-Solomon Fusion Systems

    • Ellen Henke, Justin Lynd
    Pages 251-268

  12. Examples of Descent up to Nilpotence

    • Akhil Mathew
    Pages 269-311

  13. Globally Irreducible Weyl Modules for Quantum Groups

    • Skip Garibaldi, Robert M. Guralnick, Daniel K. Nakano
    Pages 313-326

  14. A Remark on the Construction of Centric Linking Systems

    • B. Oliver
    Pages 327-337

  15. Varieties of Elementary Subalgebras of Maximal Dimension for Modular Lie Algebras

    • Julia Pevtsova, Jim Stark
    Pages 339-375

  16. Varieties Related to the Problem of Lifting \(G_r\)-Modules to G

    • Paul Sobaje
    Pages 377-392

  17. Complete Boolean Algebras are Bousfield Lattices

    • Greg Stevenson
    Pages 393-405

  18. Endotrivial Modules for Infinite Groups

    • Peter Symonds
    Pages 407-423

  19. Cohomology of Algebraic Groups with Coefficients in Twisted Representations

    • Antoine Touzé
    Pages 425-463

  20. Bilinear Forms on Grothendieck Groups of Triangulated Categories

    • Peter Webb
    Pages 465-480
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  1. Geometric and Topological Aspects of the Representation Theory of Finite Groups

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About this book

These proceedings comprise two workshops celebrating the accomplishments of David J. Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were representative of the many mathematical subjects he has worked on, with an emphasis on group prepresentations and cohomology. The first workshop was titled "Groups, Representations, and Cohomology" and held from June 22 to June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, Scotland. The second was a combination of a summer school and workshop on the subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver from July 27 to August 5, 2016. 

The contents of the volume include a composite of both summer school material and workshop-derived survey articles on geometric and topological aspects of the representation theory of finite groups. The mission of the annually sponsored Summer Schools is to train and draw new students, and help Ph.D students transition to independent research. 

Editors and Affiliations

  • Department of Mathematics, University of Georgia, Athens, USA

    Jon F. Carlson

  • Department of Mathematics, University of Utah, Salt Lake City, USA

    Srikanth B. Iyengar

  • Department of Mathematics, University of Washington, Seattle, USA

    Julia Pevtsova

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