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SUMMARY:More examples of non-rational adjoint groups
DTSTART:20140625T141500
DTEND:20140625T151500
DTSTAMP:20260413T191522Z
UID:11bbc5bca1a111267da8b69f84c7dc70206484dc965207ed3ccd15a6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nivedita Bhaskhar (Emory University\, Atlanta)\nA k-variety is
  said to be rational if its function field is purely transcendental over k
 . The first example of a non-rational adjoint k-group PSO(q) was given by 
 Merkurjev as a consequence of his computations of R-equivalence classes of
  adjoint classical groups. The quadratic form in question has non-trivial 
 discriminant which property is used crucially in the proof. Gille provided
  the first example of a quadratic form of trivial discriminant whose assoc
 iated adjoint group is non-rational. In this talk we give a recursive cons
 truction to produce examples of k_n-quadratic forms q_n in the n-th power 
 of the fundamental ideal in the Witt ring whose corresponding adjoint grou
 ps PSO (q_n) are not (stably) rational.​
LOCATION:MA30 http://plan.epfl.ch/?room=MA%20A3%2030
STATUS:CONFIRMED
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