Reference : UMR5584-LUCMOS-001
Workplace : DIJON
Date of publication : Wednesday, June 22, 2022
Scientific Responsible name : Ronan Terpereau and Lucy Moser-Jauslin
Type of Contract : PhD Student contract / Thesis offer
Contract Period : 36 months
Start date of the thesis : 1 October 2022
Proportion of work : Full time
Remuneration : 2 135,00 € gross monthly
Description of the thesis topic
This thesis concerns the topics of algebraic geometry and algebraic groups, and more precisely varieties endowed with an action of a reductive group.
There is a well-established combinatorial description for algebraic varieties of complexity 0 and 1 (over an algebraically closed field) using Luna-Vust theory. The complexity-zero case, corresponding to spherical varieties, was extended recently to arbitrary perfect base fields.
The main goal of this PhD thesis will be to extend the combinatorial description of complexity-one varieties to an arbitrary perfect base field for instance the field of real numbers and the fields of p-adic numbers.
The PhD student will be a member of the IMB laboratory in Dijon. He/she will visit the University of British Columbia during the Spring semester 2024 (from January to June 2024). During his/her research stay at UCB, the student will be part of the research group of Prof. Reichstein, and he/she will also have the opportunity to interact with other members of the Mathematics department.
Constraints and risks
The PhD student is expected to participate in the scientific activities of the laboratory, and to attend national and international conferences. He/she will also visit the research group of Prof. Reichstein in Vancouver for one semester during the contract.
The candidate should have a Masters degree in fundamental mathematics. A strong background in algebraic geometry and algebraic groups will be highly appreciated.
Applications should include a CV, a cover letter, names of one or two possible references, and a grade transcript.
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