分野別セミナー

[講演概要]
I shall explain our recent work, jointly with Jinbang Yang, on constructing rank-2 motivic local systems on 4-punctures projective line over complex numbers. The proof relies on non-abelian p-adic Hodge theory, p-adic Simpson correspondence for periodic Higgs bundles, Deligne's p to \ell companions, Yu's work on numerical characteristic p Simpson correspondence, Drinfeld's work on Langlands correspondence for rank-2 \ell-adic local systems with cusps and Grothendieck-Messing-Kato deformation theorem for log abelian schemes. It is remarkable that recently Lam-Litt provided a totally different approach to the above results using Katz middle convolution.