Some analytic and computational aspects of Chern-Weil forms

by Dr Vamsi Pingali (John Hopkins University, USA)

Friday 25 Jul 2014, 11:00 → 12:00 Asia/Kolkata

AG-77 (Colaba Campus)

Abstract:
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A generalised Monge-Amp\`ere equation arising out of a natural question from
Chern-Weil theory shall be presented. The difficulties involved with the
analysis shall be discussed along with a connection to K\" ahler geometry.
On the computational side of Chern-Weil theory, a computation of Chern forms
for certain trivial bundles with non-diagonal metrics shall be shown along
with an application or two.