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Content archived on 2024-06-18

Geometry of exceptional Lie algebras à la Tits

Objective

"The proposal concerns algebraic groups and their associated geometries, in particular those of exceptional type. The main goal of the proposal is to give a uniform axiomatic description of the embeddings in projective space of the varieties occurring in the Freudenthal-Tits magic square.
For instance, the second row comprises Severi-Brauer varieties, which have applications in Galois cohomology. Of special interest are the geometries of exceptional Lie type over arbitrary fields, where we would obtain a purely geometric characterization of F4, E6, E7 and E8. In particular this involves a direct construction of the 248-dimensional E8-module.

In the spirit of the work of Tits (Abel prize 2008) and Aschbacher (Wolf Prize 2012), there is a nice interaction between geometry and groups. The embeddings (geometry) will provide fruitful information about the subgroup structure of finite simple groups and groups of Lie type over arbitrary fields, and conversely, the expert knowledge of Prof. Liebeck on algebraic groups will help describe the embeddings."

Fields of science (EuroSciVoc)

Topic(s)

Call for proposal

FP7-PEOPLE-2012-IEF
See other projects for this call

Funding Scheme

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
EU contribution
€ 221 606,40
Address
SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
SW7 2AZ London
United Kingdom
Region
London Inner London — West Westminster
Activity type
Higher or Secondary Education Establishments
Links
Total cost
No data