AbstractIn the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will describe a generalization of their result. I will explain how, by replacing holomorphic differentials by meromorphic differentials, one is naturally led to consider an object called the enh...
AbstractBuchstaber and Panov introduced the notion of the moment-angle complex Z. This space isdefined as a union of specific product spaces of discs and circles, equipped with a natural action ofa torus T. Topologically, a moment-angle complex provides a way to understand a simplicial toricvariety through its quotient Z/H, where H is a closed subgroup of T. The computation of thecohomology gro...
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