Groups, Representations, and Cohomology- Isle of Skye, 19-26 June, 2015

Sabhal Mòr Ostaig, Isle of Skye, Scotland

19-26 June, 2015

19-22 June, 2015: Anglo-Franco-German Representation Theory Network Summer School (arrival June 18)

23-26 June, 2015: Conference in honour of Dave Benson's 60th birthday (arrival June 22-departure June 27)

Conference in honour of Dave Benson's 60th birthday

23-26 June, 2015 (arrival June 22-departure June 27)

Organisers: Radha Kessar, Henning Krause, Ran Levi, Markus Linckelmann, Peter Symonds

            Conference speakers:
  1. Ragnar-Olaf Buchweitz (Toronto)
  2. Jesse Burke (Los Angeles)
  3. Jon Carlson (Georgia)
  4. Joseph Chuang (London)
  5. Karin Erdmann (Oxford)
  6. John Greenlees (Sheffield)
  7. Srikanth Iyengar (Salt Lake City)
  8. Bob Oliver (Paris)
  9. Julia Pevtsova (Seattle)
  10. Jeremy Rickard (Bristol)
  11. Britta Späth (Kaiserslautern)
  12. Antoine Touzé (Paris)

Anglo-Franco-German Representation Theory Network Summer School:
Support varieties in modular representation theory

19-22 June, 2015 (arrival June 18- departure June 22 if not attending conference)

Organisers: Greg Stevenson, Jan Stovicek, Ivo Dell'Ambrogio

The goal of the summer school will be to understand and prove the following result, due to Benson, Carlson and Rickard [1]: the thick tensor ideal subcategories of the stable module category of a finite group are classified by the specialization closed subsets of the projective variety associated to cohomology ring of the group. This foundational theorem establishes the theory of support varieties as a powerful and elegant link between group cohomology and group representations, via algebraic geometry.

For the proof we will follow a recent approach due to Carlson and Iyengar [2], which has the advantage of providing a more direct link with Hopkins' similar classification for the derived category of perfect complexes over a commutative noetherian ring. This new point of view will require us to explore in some depth other topics - important on their own - such as derived categories, dg-algebras and dg-modules, and complete intersection rings.

The school will be accessible to graduate students and postdocs. Each participant is expected to contribute a talk, or to help in preparing a talk (depending on the number of participants), and most of the preparation should be done before the beginning of the school. Prerequisites are: proficiency with basic homological algebra, group representations, modules over rings; some familiarity with commutative algebra, algebraic geometry, derived categories.

[1] D. J. Benson, J. F. Carlson and J. Rickard, Thick subcategories of the stable module category, Fund. Math. 153 (1997). 5980
[2] J. F. Carlson and S. B. Iyengar, Thick subcategories of the bounded derived category of a finite group, arXiv:1201.6536.

For further information, please write to:
or to one of the organisers .

Supported by: EPSRC Network Grant "Anglo-Franco-German Representation Theory",
DFG SPP 1388 "Representation Theory",
DFG CRC 701 "Spectral Structures and Topological Methods in Mathematics",
The London Mathematical Society