Noncommutative Geometry and Quantum Physics
Vietri sul Mare, August 31 - September 5, 2009
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Speaker: |
Sara Azzali, Göttingen |
Title: |
Large time limit and L2 invariants for families |
Abstract: |
We develop a new approach to large time asymptotic for the heat
operator of the Bismut-Lott superconnection in the L2-setting.
As applications: the L2 index theorem for the family of signature
operators holds, without assumptions on the fibrewise Novikov-Shubin
invariants; the secondary invariants eta-form and torsion-form are well
defined when the fibre is determinant class. This is a ongoing joint work
with Sebastian Goette and Thomas Schick.
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G |
ruppo di |
R |
icerca |
E |
uropeo |
F |
ranco- |
I |
taliano in |
GE |
ometria |
N |
on |
CO |
mmutativa |
roupement de |
echerche |
uropéen |
ranco |
talien en |
ométrie |
on |
mmutative |
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