At the end of the conference, two mini-courses will take place at the EPFL. These lectures are aimed at anyone who has any interest in the content, which is, in particular, made accessible to Ph.D. students.


Dates: June 2010, from Friday 25 to Wednesday 30
Location: EPF Lausanne, Switzerland
Organization: Donna M. Testerman and Jacques Thévenaz

• Foncteurs associated to bisets
  [By Serge Bouc, Amiens | Abstract]
  
  An introduction to the theory of biset functors. The example of group representations will motivate the study of these ob jects. After a recall of basic notions regarding biset functors, a few results on simple functors will be presented. Various aspects of the Burnside functor will then be discussed. We also will consider the p-functors, and their applications, such as rational representations of p-groups, or the Dade group of endo-permutation modules. A few open problems will also be discussed.



• Finite p-groups in representation theory
  [By Nadia Mazza, Lancaster | Abstract]
  
  We will survey some basics on finite p-groups, including the Lazard correspondence, which links the Lie ring associated to a finite p-group and the p-group itself. Hence, we will focus on the structure of the poset of the elementary abelian subgroups (also called Quillen category) inside a given finite p-group, as these subgroups are ubiquitous. The zenith of the course consists in a few applications of the above theory and related open problems, in group theory and their representations, e.g. soft subgroups, class-breadth conjecture, and endotrivial modules.

	Friday	Monday	Tuesday	Wednesday
8h15-9h00		Bouc  [lecture]	Mazza [lecture]	Bouc  [lecture]
9h15-10h00		Bouc  [lecture]	Mazza [lecture]	Bouc  [lecture]
10h15-11h00		Bouc  [exercises]	Mazza [exercises]	Bouc  [lecture]
11h15-12h00		Bouc  [exercises]	Mazza [exercises]	Bouc  [exercises]
12h00-13h15	Lunch	Lunch	Lunch	Lunch
13h15-14h00	Bouc  [lecture]	Mazza [lecture]	Bouc  [lecture]	Mazza [lecture]
14h15-15h00	Bouc  [lecture]	Mazza [lecture]	Bouc  [lecture]	Mazza [lecture]
15h15-16h00	Mazza [lecture]	Mazza [lecture]	Bouc  [lecture]	Mazza [lecture]
16h15-17h00	Mazza [lecture]	Mazza [exercises]	Bouc  [exercises]	Mazza [exercises]
17h15-18h00	Mazza [exercises]	—	Bouc  [exercises]	—

Schedule & abstracts [.pdf]



If you wish to register for any of these, please fill out the following form.

Registered Participants



Both mini-courses are part of the EPFL Doctoral School and each course is worth 1 credit. EPFL Ph.D. Students who would like to acquire credits can refer to the Doctoral School Webpage and register by e-mail to the Program secretary.


Both these mini-courses are supported by the CUSO.

In particular, PhD students from Basel/Bern/Fribourg/Geneva and Neuchatel Universities can apply (when registering) for funding granted by the CUSO.

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Last updated : April 19, 2010.