Stability conditions for slodowy slices and real variations of stability
Important example applications of this idea is the theory of character sheaves Lusztig, which provides a geometric formula for characters of representations of finite groups Shemale, i.e. groups of rational points of a reductive algebraic group over a finite field, for example the group GL(n,F_q) of invertible matrices with coefficients in a finite field. Highlighting the main provisions of this theory, I turn to the description of a new approach to the classification of character sheaves, is based on joint work with V. Stricom and M. Finkelberg. Then I will discuss the project of the application of these ideas to a group of loops (joint with Y. Varshavsky and D. Kazhdan), which aims to describe algebraic-geometric phenomena behind the theory of endoscopy. This is the last important Chapter of harmonic analysis on p-adic groups associated with the duality of Langlands; the correspondence between features and beams have been used in this area B.-C. NGO devoted to the proof of the so-called fundamental Lemma (for which in 2004 he was awarded the fields)."