Haitian
Scientific Society Seminar
Series
Saturday March 30, 2024
12:45-2:30
Zoom-Link: https://umassboston.zoom.us/j/94777986513
On Nash-type resolution of Lie algebroids with
applications to (twisted) Poisson structures
(Work in
progress)
Ruben Louis
Jilin University (China) and Göttingen University (Germany)
Abstract:
We
introduce a Nash-type blowup method on (almost) Lie algebroids with
applications, particularly in the context of (twisted) Poisson structures. It
also makes sense on singular subalgebroids in the
sense of Androulidakis-Zambon. The study reveals that
any Lie algebroid transforms under this blowup to a new Lie algebroid whose
anchor map is injective on an open dense subset. We provide concrete
examples to elucidate these theoretical constructions.
Bio:
Dr.
Ruben Louis holds a Ph.D. in Mathematics, which he earned on November 12th,
2022, at Lorraine University, Metz, France, under the guidance of Professor
Camille Laurent-Gengoux. His doctoral research
focused on “Universal Higher Lie Algebras of Singular Spaces and their
Symmetries.” Dr. Louis specializes in differential geometry and homotopy algebras and has published papers in top journals. He
is also co-author of a forthcoming book on singular foliations, which will be
the first reference book in this field.
Currently, Dr. Louis serves as a Postdoctoral researcher, dividing his time
between Jilin University in China and Göttingen University in Germany, since
September 2023. He previously worked as a temporary researcher and
lecturer at Lorraine University (2022-2023).
In
recognition of his doctoral thesis, Dr. Louis was awarded the IAEM 2023 thesis
prize from Lorraine University, France.
https://iecl.univ-lorraine.fr/ruben-louis-laureat-du-prix-de-these-iaem-2023/