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.
Seminar
Local G-shtukas and p-divisible groups
Members
| PD Dr. Eva Viehmann | |
| Dr. Miaofen Chen | |
| Paul Hamacher |
Open positions
1 doctoral position (3/4 TVL 13): Applications are sought from suitably qualified candidates who want to undertake research within this project towards a PhD in pure mathematics. The ideal candidate has a recent Master or Diploma degree in mathematics and a strong background in algebraic geometry or arithmetic. Applications including a letter of intent, a CV, and the contact details of two academic references should be sent to E. Viehmann. Applications will be accepted until the position is filled.
Last modified: 28. 9. 2011, Eva Viehmann