Mathematics Colloquium

Alexey Petukhov

(University of Manchester)

"Gelfand-Kirillov conjecture"

Date: Mon, September 14, 2015
Time: 17:15
Place: Research II Lecture Hall

Abstract: It is known that for a solvable Lie algebra the universal enveloping algebra U(g) is equivalent in a proper (birational) sense to an algebra of differential operators in several variables. This poses the question whether or not a similar fact holds for any Lie algebra g. This question is known as the Gelfand-Kirillov conjecture. For now it seems that for most Lie algebras the Gelfand-Kirillov conjecture is false, and in my talk I will discuss the proof of the corresponding fact which involves a reduction to positive characteristic.

The colloquium is preceded by tea from 16:45 in the Resnikoff Mathematics Common Room, Research I, 127.