Geometric and Topological Aspects of the Representation Theory of Finite Groups

1. Front Matter

   Pages i-viii

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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

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. 

• homotopy theory
• representation theory
• PIMS summer school
• geometric aspect representation theory
• representation theory finite groups
• finite groups
• homology
• Hopf algebras

• 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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