Quid of reducing smooth functions to normal form near critical points?

par Mme Alexandra Orevkov

mardi 18 avr. 2023, 17:00 → 18:00 Europe/Paris

Room Picard (1R2-129)

The talk is devoted to "uniform" reduction of smooth functions on 2-manifolds to canonical form near critical points by some coordinate changes in some neighbourhoods of these points. For singularity types E_6, E_8 and A_n, we explicitly construct such coordinate changes and estimate from below (in terms of $C^r$-norm of the function) the radius of a required neighbourhood.