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SUMMARY:Sam Schiavone (MIT)
DTSTART:20220913T150000Z
DTEND:20220913T163000Z
DTSTAMP:20260422T220707Z
UID:STAGE/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/60/">B
 rauer groups of fields</a>\nby Sam Schiavone (MIT) as part of STAGE\n\nLec
 ture held in Room 2-449 in the MIT Simons Building.\n\nAbstract\nTopics: D
 efinition of Brauer group in terms of central simple algebras (also known 
 as Azumaya algebras over a field)\; definition of Brauer group in terms of
  Galois cohomology\; cyclic algebras\; Brauer groups of finite fields\, lo
 cal fields\, and global fields (without proofs).\n\nReferences: <a href="h
 ttps://math.mit.edu/~poonen/papers/Qpoints.pdf">Poonen\, <i>Rational \npoi
 nts on varieties</i></a>\, Section 1.5.  See also Gille and Szamuely\, Cen
 tral simple algebras and Galois cohomology\, Sections 2.4-2.6\, for some o
 f the topics.  Also see <a href="https://www.jmilne.org/math/CourseNotes/C
 FT.pdf">Milne\, <i>Class field theory</i></a>\, Chapter IV and Theorem VII
 I.4.2.\n
LOCATION:https://researchseminars.org/talk/STAGE/60/
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