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On the Brauer group of an algebraic group

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Stefan Gille (Alberta)

What
  • SFB-Kolloquium
When Jul 19, 2012
from 03:15 pm to 04:15 pm
Where Mainz, 05-432 (Hilbertraum)
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Abstract: In the first part of my talk I will present a proof that if F is a field of characteristic 0 and G is a (connected) simply connected semisimple algebraic group over F then the natural homomorphism Br(F)Br(G) is an isomorphism. In the second part I will show that this fails in positive characteristic. More precisely, if G is a linear algebraic group of (Krull-)dimension bigger or equal 2 over a field F of positive characteristic then the natural split monomorphism Br(F)Br(G) is not surjective.