Seminario: Small representations for reduced enveloping algebras

Giovedì 23 Aprile 2015, ore 14:00 - Aula 1AD100 - Lewis Topley



Giovedì 23 Aprile 2015 alle ore 14:00 in aula 1AD100, Lewis Topley (post-doc Piscopia) terà un seminario dal titolo "Small representations for reduced enveloping algebras".

Although the ordinary representation theory of Lie algebras is extremely well developed, progress has been much slower in the modular case. A breakthrough was made twenty years ago when Premet proved a long-standing conjecture bounding the dimensions of modules. His techniques led to the discovery of finite W-algebras, and the latter theory has recently culminated in another milestone, showing that the bound mentioned before is best possible.
I shall review the development of this theory and discuss some very recent result of mine regarding the structure theory of certain modular finite W-algebras.