Palestras e Seminários
24/11/2021
10:30
Online / à distância
Palestrante: Dmitry Kerner
São Carlos Singularity Theory Webinar
Consider map-germs (k^n,o)-> (k^p,o) up to the groups of right/left-right/contact equivalence. The group orbits are complicated and are traditionally studied via their tangent space. This transition is classically done by vector fields integration, thus binding the theory to the real/complex case.
I will present the new approach to this subject. One studies the maps of germs of Noetherian schemes, in any characteristic. The corresponding groups of equivalence admit `good' tangent spaces. The submodules of the tangent spaces lead to submodules of the group orbits. This extends (and sometimes strengthens) classical results on 'determinacy vs infinitesimal determinacy'.
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