Curvature of the Determinant Line Bundle for Noncommutative Tori
Hausdorff Center for Mathematics via YouTube
Overview
Syllabus
Intro
Warm up: zeta regularized determinants
Curved noncommutative tori Ag
Perturbed Dolbeault operator
Scalar curvature for All
What remains to be done
Holomorphic determinants
Cauchy-Riemann operators on An
Quillen's metric on C
Connes' pseudodifferential calculus
Classical symbols
A cutoff integral
The Kontsevich-Vishik trace
Logarithmic symbols
Variations of LogDet and the curvature form
The second variation of log Det
Curvature of the determinant line bundle
A holomorphic determinant a la Quillen
Taught by
Hausdorff Center for Mathematics