REBOULET Rémi

Ph.D Student
Institut Fourier

remi.reboulet [at] univ-grenoble-alpes.fr

INFORMATION.

Ph.D student at the Institut Fourier in Grenoble (2019/09-...).
My advisors are Catriona MACLEAN (website) and Sébastien BOUCKSOM (website).

During the academic year 2020-2021, I am co-organizing the PhD students' seminar, "Séminaire compréhensible".

Since February 2021, I am also a member of the Institut Fourier research council (UMR 5582, non-permanents).

CV: English, French (not up to date as of 2021...)

This page has last been updated on 2021/05/21.


CONTACT.

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

1. The asymptotic Fubini-Study operator over general non-Archimedean fields.
Mathematische Zeitschrift, 43 pages, arxiv:2004.11635


RESEARCH TOPICS.

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.


TEACHING.

2019-2020 - MAT432: Sequences and series of functions. (64h CM+TD)
(L2 Math-Info International, dedicated page: MAT432)