Exponential Hodge theory (II)


Claude Sabbah

14:30:00 - 15:20:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

I will introduce a category of holonomic D-modules which can be endowed in a canonical way with an irregular Hodge filtration satisfying the E_1-degeneration property by a projective morphism. This generalizes some results developed in the first talk. I will also explain that, as a consequence, those rigid irreducible holonomic D-modules on the complex projective line whose local formal monodromies have eigenvalues of absolute value one, are equipped with such an irregular Hodge filtration in a canonical way, up to a shift of the filtration.