Mathematik-Kolloquium
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Institut für Mathematik der HU
Rudower Chaussee 25,
12489 Berlin
Brauer groups: From number theory to (hyperkähler) geometry
Daniel Huybrechts (Universität Bonn)
The Brauer group of a field was introduced a century ago, but it still holds many secrets. It started out as an object in number theory, with the theorem of Brauer—Hasse—Noether as a first highlight, and was later generalised by Grothendieck to a geometric setting. ln this talk, I will sketch certain aspects of the history that are relevant to recent developments in geometry and Hodge theory with a special emphasis on hyperkähler geometry.