ERC Advanced Grant – Arithmetic of Automorphic Motives (AAMOT project)
Principal Investigator : Michael HARRIS
Duration: 1 year
Description
The primary purpose of this project is to build on recent spectacular progress in the Langlands program to study the arithmetic properties of automorphic motives constructed in the cohomology of Shimura varieties. Because automorphic methods are available to study the L-functions of these motives, which include elliptic curves and certain families of Calabi-Yau varieties over totally real fields (possibly after base change), they represent the most accessible class of varieties for which one can hope to verify fundamental conjectures on special values of L-functions, including Deligne’s conjecture and the Main Conjecture of Iwasawa theory. Immediate goals include the proof of irreducibility of automorphic Galois representations; the establishment of period relations for automorphic and potentially automorphic realizations of motives in the cohomology of distinct Shimura varieties; the construction of p-adic L-functions for these and related motives, notably adjoint and tensor product L-functions in p-adic families; and the geometrization of the p-adic and mod p Langlands program. All four goals, as well as the others mentioned in the body of the proposal, are interconnected; the final goal provides a bridge to related work in geometric representation theory, algebraic geometry, and mathematical physics.
Eligibility criteria
Candidates holding a PhD in Mathematics.
The selection will be based on the excellence of previous scientific achievements and the quality of the scientific project.
Contract details:
Each postdoctoral fellow will receive a net salary of 2100€ (including full health insurance and social coverage). He/she will be offered free housing in the IHES nearby residence and free access to the cafeteria for lunch.
The postdoctoral fellow will be requested to write a report at the end of the year on his/her scientific accomplishment comparing it with the initial Project and describing the perspectives.
Applications should be submitted online and include the application form duly completed, a CV, a list of publications, a description of research project and future plans as well as 2 or 3 letters of recommendation
The 2016 call is now closed.
