The Forni Cocycle

William A. Veech

doi:10.3934/jmd.2008.2.375

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2008, Volume 2, Issue 3: 375-395. Doi: 10.3934/jmd.2008.2.375 open access

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The Forni Cocycle (Brin Prize article)

William A. Veech^1,

1.
Mathematics Department, MS 136, Rice University, 6100 S. Main St., Houston, TX 77005-1892

Received: May 2008

Published: April 2008

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Abstract

The present note is occasioned by the award to Giovanni Forni of the inaugural Michael Brin Prize in Dynamical Systems. The award reﬂects the profound contributions to dynamical systems by Giovanni Forni. The existence ofthe award reﬂects the extraordinary generosity of Michael and Eugenia Brin,whohave provided funds for many mathematical and scientiﬁc activities, includingthe Brin Prize.

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Keywords:

Forni cocycle,
Kontsevich¨CZorich conjecture.

Mathematics Subject Classification: Primary 58F11, Secondary: 37A25.

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