Explicit differential invariants

Jeudi 14 mai 11:00-12:00 - Zhangchi Chen - Laboratoire de Mathématiques d'Orsay

Résumé : Fix certain Lie group G like SL(n,R), given two manifolds M and N in R^n, when is there a diffeomorphism h in G transforming M into N locally ? Such Cartan’s equivalence problem can be solved by computing and comparing differential invariants of the manifolds, namely, G-invariant functions on the jet space of submanifolds.
Inspired by Chern-Moser normal form in CR geometry, one can try to normalize Taylor coefficients of a submanifold. The differential invariants are those coefficients one cannot normalize. In this talk I will introduce the algorithm to compute explicit differential invariants, the unavoidable branching phenomenon, recurrence formulas which describe relations among the invariants, and the homogeneous models.

Notes de dernières minutes : Lien BBB : https://bbb.imo.universite-paris-saclay.fr/b/nic-av7-y4q

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