ERC Starting Grant 277889: Moduli spaces of local G-shtukas
The aim of this project is a novel approach to the local Langlands programme via a comprehensive investigation of local G-shtukas and their moduli spaces and the exploitation of their relations to Shimura varieties.
Local G-shtukas are generalisations to arbitrary reductive groups of the local analogue of Drinfeld shtukas. They also are the function field counterpart of p-divisible groups. Hence moduli spaces of local G-shtukas are of great interest, in particular for the geometric realisation of local Langlands correspondences. Compared to p-divisible groups local G-shtukas have several advantages. They can be defined and studied for any reductive group, enabling a systematic use of group theoretic methods and promising unified results. Furthermore, their local description by elements of loop groups makes them more accessible than the description of p-divisible groups by Cartier theory or displays.
Members
Prof. Dr. Eva Viehmann
Dr. Alexander Ivanov
Paul Hamacher
Stephan Neupert
Open positions
Postdoc position (TVL 13): The ideal candidate has completed a PhD in a field closely related to the Langlands program or to other aspects of the project.
Applications including a letter of intent, a CV, and if possible the contact details of two academic references should be sent to E. Viehmann. Applications will be accepted until the positions are filled.
