### Abstract:

The notion Higgs-de Rham flow'' over schemes  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 semistable graded Higgs bundles with c_i=0 and crystalline representations of the algebraic fundamental group of the generic fibre of X, an 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.

Speaker

Kang Zuo

Research Area
Affiliation

University of Mainz, Germany

Date

Fri, 22/08/2014 - 2:30pm

Venue

Carslaw 275, University of Sydney