24 jun 2014 -- 14:30
Aula Riunioni (DM, Pisa)
Abstract.
Recent progress on the problems of monomialization of differential forms or of a Fubini-Study metric on a singular complex variety. The problems were originally motivated by possible applications to $L_2$ and intersection cohomology. Earlier results of Hsiang-Pati and Pardon-Stern give solutions for surfaces with isolated singularities. Recent results include: (1) Equivalence of Hsiang-Pati parametrization and principalization of logarithmic Fitting ideals. (2) Solution of the main problems in the general 3-dimensional case.
(Work in collaboration with Andre Belotto, Vincent Grandjean, Pierre Milman and Franklin Vera Pacheco.)