SMS scnews item created by John Enyang at Sun 11 Mar 2012 1140
Type: Seminar
Modified: Sun 11 Mar 2012 1142
Distribution: World
Expiry: 17 Mar 2012
Calendar1: 16 Mar 2012 1205-1255
CalLoc1: Carslaw 175
Auth: enyang@penyang.pc (assumed)

Algebra Seminar

Global Lie-Tresse theorem


Friday March 16, 12:05--12:55pm, Carslaw 175


Boris Kruglikov (University of Tromsų, Norway)


Global Lie-Tresse theorem


Consider an algebraic pseudogroup transitively acting on a smooth manifold (more generally on a geometric structure, more generally on an algebraic differential equation). This action naturally extends to the space of infinite jets (partial case: actions by Lie groups). By differential invariant we will understand a rational function on this space, which is invariant with respect to the prolonged action. Alternatively this is a non-linear scalar differential operator (defined globally except for singularities). The main theorem states that the algebra of all scalar differential invariants is generated by a finite number of differential invariants and invariant derivatives. This is the base for solution of the equivalence problem. A number of examples and counter-examples from geometry, algebra and physics (with both finite- and infinite-dimensional groups) will be presented.

The talk is based on joint work with Valentin Lychagin.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang

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