The local and global covariant variations of differential forms under an infinitesimal conformal transformation.

A Characterization of the Infinitesimal Conformal Transformations on Tangent Bundles

Infinitesimal variations of Hodge structure and the global Torelli problem∗

The aim of this report is to introduce the infinitesimal variation of Hodge structure as a tool for studying the global Torelli problem. Although our techniques have so far borne fruit only in special cases, we are encouraged by the fact that for the first time we are able to calculate the degree of the period mapping when the Hodge-theoretic classifying space is not hermitian symmetric, as it ...

Computing isogeny covariant differential modular forms

We present the computation modulo p2 and explicit formulas for the unique isogeny covariant differential modular form of order one and weight χ−p−1,−p called fjet, an isogeny covariant differential modular form of order two and weight χ−p2−p,−1,−1 denoted by fjethjet, and an isogeny covariant differential modular form hjet of order two and weight χ1−p2,0,−1.

Differential Conformal Superalgebras and their Forms

We introduce the formalism of differential conformal superalgebras, which we show leads to the “correct” automorphism group functor and accompanying descent theory in the conformal setting. As an application, we classify forms of N = 2 and N = 4 conformal superalgebras by means of Galois cohomology.

compactifications and representations of transformation semigroups

this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...