We will finish the sketch of the proof of existence of a
geometrically meaningful compactification of the moduli space of
canonically polarized smooth varieties.
Characteristic classes of Flat bundles on smooth algebraic
varieties are defined in various cohomology theories. We consider
the de Rham cohomology, the Deligne cohomology and the rational
Chow groups and study the classes. We focus on the special...
In 1991, Witten proposed a famous conjecture (solved by
Kontsevich) related the intersection theory of Deligne-Mumford
moduli space to KDV-integrable hierearchy. To generalize his
conjecture, Witten proposed a remarkable PDE based any...
