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Geometry Working SeminarExport this event to calendar

Wednesday, October 7, 2015 — 3:30 PM EDT

Raymond Cheng, Department of Pure Mathematics, University of Waterloo

"Hodge Decomposition and Kahler Manifolds"

After a spring of bundles, the autumn will be a study of forms, punctuated
with periods of complex manifolds. Before navigating the deep theory of
Hodge structures and their variations, however, we should get familiar
with the classical theorems which started off the subject: the Hodge
decomposition of de Rham cohomology; the hard Lefschetz Theorem; the
Riemann bilinear relations; and the various consequences of these results
on Kahler manifolds. This talk will be primarily focused on a discussion
of the Hodge decomposition theorem and its immediate consequences for
Kahler manifolds.
 
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