+91-674-249-4082

Submitted by sutanu on 8 May, 2018 - 11:41

Date/Time:

Wednesday, May 9, 2018 - 15:00 to 16:30

Venue:

Seminar Room, School of Mathematical Sciences

Speaker:

Andrey Krutov

Affiliation:

Independent University of Moscow

Title:

Infinite jet spaces

We will extend our construction of finite jet spaces $J^k(\pi)$ to the

case when k goes to infinity. This will allows as to consider the wider

class of symmetries (higher symmetries) of partial differential

equations. We will define the bi-complex of differential forms on the

infinite jet space $J^\infty(\pi)$. We will to formalize the language

that will allow us to find, classify, and use the conserved

currents associated with systems of differential equations. The currents

reflect the continuity properties and manifest the presence of conserved

integral values, or charges, for all solutions of the system at hand. In

this lecture we explain in precisely what sense the equivalence classes

of conserved currents are dual to the notion of nontrivial

proper infinitesimal symmetries for differential equations.

**School of Mathematical Sciences**

NISER, PO- Bhimpur-Padanpur, Via- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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