Morningside Center of Mathematics
Chinese Academy of Sciences
The goal of this workshop is, in the first part, to understand the recent work of Dospinescu-Le Bras and Pan Lue on the geometric realisation of the p-adic local Langlands correspondence for GL2(Qp) and, in the second part, to understand the work of Scholze on the p-adic cohomology of the Lubin-Tate tower and its application to the p-adic Langlands program.
It is based on latest developments in dynamical instability of Hamiltonian systems, viscosity solutions of Hamilton-Jacobi equations and other related fields located at the intersection of dynamical system and calculus of variation. The seminar is hosted by Prof. Cheng Chongqing from Nanjing University and will last from January 7, 2016 to January 30, 2016.
This lecture series will be devoted to various arithmetic applications of the eponymous cohomology classes of the title, to such questions as the equivariant Birch and Swinnerton-Dyer conjecture, Perrin-Riou's conjecture relating Beilinson elements to rational points on elliptic curves, the theory of Stark-Heegner points, and the construction of explicit Selmer classes on elliptic curves in settings where the underlying Selmer group has rank two.