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UID:news734@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190211T204230
DTSTART;TZID=Europe/Zurich:20131018T103000
SUMMARY:Seminar Algebra and Geometry: Pascal Rolli (ETH Zürich)
DESCRIPTION:A quasimorphism (QM) is a real-valued function on a group that 
 almost  behaves like a homomorphism. Non-trivial QMs exist whenever the gr
 oup  has some features of negative curvature\, for example when it is Grom
 ov  hyperbolic. I will discuss old and new constructions of QMs\, using  c
 ombinatorial\, geometric and algebraic ideas. In a second part I will  tal
 k about the relation to cohomology. To each QM there is an associated  cla
 ss in the group's second bounded cohomology $H^2_b$. One of our QM  constr
 uctions yields linear isometric embeddings so called defect spaces  into $
 H^2_b$. These spaces have an interesting geometry\, they are l∞ spaces e
 quipped with an exotic norm.
X-ALT-DESC: A quasimorphism (QM) is a real-valued function on a group that 
 almost  behaves like a homomorphism. Non-trivial QMs exist whenever the gr
 oup  has some features of negative curvature\, for example when it is Grom
 ov  hyperbolic. I will discuss old and new constructions of QMs\, using  c
 ombinatorial\, geometric and algebraic ideas. In a second part I will  tal
 k about the relation to cohomology. To each QM there is an associated  cla
 ss in the group's second bounded cohomology $H^2_b$. One of our QM  constr
 uctions yields linear isometric embeddings so called defect spaces  into $
 H^2_b$. These spaces have an interesting geometry\, they are l<sup>∞</su
 p> spaces equipped with an exotic norm.
DTEND;TZID=Europe/Zurich:20131018T120000
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