This page has last been updated on 2021/09/13.
Email: remi.reboulet [at] univ-grenoble-alpes.fr
Office: Bureau 226, Institut Fourier, Université Grenoble-Alpes.
PUBLICATIONS AND PREPRINTS.
3. The space of finite-energy metrics over a degeneration of complex manifolds.
Submitted, 48 pages, arxiv:2107.04841
2. Plurisubharmonic geodesics in spaces of non-Archimedean metrics of finite energy.
Submitted, 50 pages, arxiv:2012.07972
I study, in a broad sense, non-Archimedean geometry and its connections with complex geometry. Geometry over various non-Archimedean fields can be thought of as encoding the limit behaviour of geometry in the complex world: for instance, a degenerating family of complex manifolds naturally gives rise to an analytic space over a non-Archimedean field (the field of complex Laurent series). The purpose of my work is to explore the yet blossoming field of non-Archimedean pluripotential theory, both in itself, and through its applications to complex geometry.
Some keywords: non-Archimedean geometry, Berkovich spaces, pluripotential theory, (K-)stability, tropical geometry, hybrid spaces, Okounkov bodies.
TALKS AND WORKING GROUPS.
2021/02/09: Plurisubharmonic geodesics in non-Archimedean geometry.
Complex Geometry seminar, slides.
2021-2022 - MAT307: Courbes paramétrées et équations différentielles. (36h TD)
2019-2020 - MAT432: Sequences and series of functions. (64h CM+TD)
(L2 Math-Info International, dedicated page: MAT432)
Since February 2021, I am a member of the Institut Fourier research council (UMR 5582, non-permanents).
In 2020-2021, I was co-organizing the PhD students' seminar, "Séminaire compréhensible".