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Mini-course “Group cohomology and T-functor”

Time: 21/4 – 15/5/2014 (4 weeks)


For the first week: the lectures will be on Monday (21 Apr), Wednesday (23 Apr) and Friday (25 Apr) at 14:30-16:30.
(the schedule will be further updated soon).

 

Location: VIASM Lecture Hall (C2).


Lecturer: Prof. Jean Lannes, Université Paris Diderot


Abstract:


The main theme of the course will be the description of the interactions between:


- The theory of group cohomology ;


- The theory of unstable modules over the Steenrod algebra.


I will state Quillen’s theorem describing mod p cohomology of finite groups up to nilpotents elements. I will prove this theorem after a long detour using the theory of unstable modules over the Steenrod algebra developped in the 80′s to solve Sullivan’s conjecture. As a reward, we will obtain generalisations of Quillen’s theorem.


Text books

  1.  Henn, Hans-Werner, in Homotopy theoretic methods in group cohomology, Advanced Courses in Mathematics. CRM Barcelona, Birkhauser Verlag, Basel, 2001.
  2. Schwartz, Lionel: Unstable modules over the Steenrod algebra and Sullivan’s fixed point set conjecture, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, IL, 1994.

 


Registration:


Please fill in the registration form below your contact information. Deadline for registration: 15/4/2014.


Detail : http://viasm.edu.vn/events/mini-course-group-cohomology-and-t-functor/

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