Abstract

The notion " Higgs-de Rham flow" over  a smooth logarithmicscheme  X/W(k) over the ring of Witt vectors of finite field k  of characteristic p  introduced in a recent paper by Lan-Sheng-Zuo has found some  interesting applications in arithmetic geometry. Higgs-de Rham flow induces a correspondence between a subcategory of semistable graded Higgs bundles with $c_i=0$ and crystalline representations of the algebraic fundamental group of the generic fibre of X, a p-adic analogue of the well known correspondence  between polystable graded Higgs bundles of $c_i=0$ and polarized complex variation of Hodge structures. In my lecture I shall talk about  application of  Higgs-de Rham flow on uniformization of hyperbolic p-adic curves, which is  closely related to S. Mochizuki's p-adic Teichmueller thoery. This is a joint work with Lan-Sheng-Yang.

Tee/Kaffee/Gebäck

ab  16:45 Uhr,

Arnimallee 3,  Raum 006

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Koordinator:  Prof. Dr. Alexander Schmitt

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