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SUMMARY:Topology Seminar: Lifting G-stable endotrivial modules
DTSTART:20180703T101500
DTEND:20180703T111500
DTSTAMP:20260924T131127Z
UID:086ac1ebd09740b2a54f0562991519c3ac64cebc8d23b77f9e3519ec
CATEGORIES:Conferences - Seminars
DESCRIPTION:Joshua Hunt (University of Copenhagen)\nEndotrivial modules ar
 e indecomposable kG-modules M for which End(M) splits as a trivial module 
 direct sum a projective. Such modules play an important role in modular re
 presentation theory\, and form an abelian group T(G) under tensor product.
  The structure of T(S) for S a finite p-group is known through many years 
 of effort\, culminating in the work of Carlson-Thévenaz. For an arbitrary
  finite group G\, Balmer and Grodal have described the kernel of the restr
 iction from T(G) to its Sylow T(S). In this talk we study the image of thi
 s restriction map. We provide a complete description when p = 2 and get pa
 rtial information at odd primes. This verifies conjectures of Carlson-Mazz
 a-Thévenaz when p = 2 but provides counterexamples at infinitely many odd
  primes. This is joint work with Tobias Barthel and Jesper Grodal.
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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