BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:On the Hopf Schur group of a field - Ehud Meir (Newton Institute)
DTSTART:20110302T163000Z
DTEND:20110302T173000Z
UID:TALK29720@talks.cam.ac.uk
CONTACT:Christopher Brookes
DESCRIPTION:Let k be a field. We ask what k-central simple algebras can we
  get as\nquotients of Hopf algebras. We call the corresponding subgroup of
 \nBr(k) the Hopf Schur group of k.\nThis generalizes the question of what 
 central simple k-algebras are\nquotients of group algebras (the so called 
 Schur algebras) and the\nSchur subgroup of Br(k). Since group algebras are
  Hopf algebras\, every\nSchur algebra is a Hopf Schur algebra.\nThe Schur 
 subgroup might be a very small subgroup of Br(k)\, and we ask\nwhat other 
 Hopf Schur algebras can we find.\n\nIn this talk I will try to explain why
  actually every k-central simple\nalgebra is a Hopf Schur algebra up to Br
 auer equivalence. We shall do\nso by giving a representation theoretic def
 inition of Hopf algebras\,\nand by considering forms of Hopf algebras.\nAl
 l the relevant notions will be explained.\n
LOCATION:MR15
END:VEVENT
END:VCALENDAR