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I am a PhD student at the Université de Bretagne Occidentale in the LMBA, under the supervision of Carl Tipler. I work on problems of perturbations of complex geometric PDEs with a moment map interpretation.
I study existence conditions and properties of special connections on holomorphic vector bundles, such as the Hermitian Yang-Mills connections. My research lies at the intersection of complex algebraic geometry and complex differential geometry.
Email: remi.delloque@univ-brest.fr
Key words: Geometric partial differential equations, perturbative techniques, special connections on complex bundles, moment maps, geometric invariant theory.
Talks about continuity of Hermitian Yang-Mills connections with respect to metric variations:
05/04/2024: Seminar of geometry and topology in Brest (France)
22-25/04/2024: Lebesgues doctoral meeting in Angers (France) (poster in French)
23-24/05/2024: Quimpériodique seminar in Quimper (France) (poster in French)
12/09/2024: KASS seminar in Gotheburg (Sweden)
29/11/2024: Kähler and non-Archimedean geometry workshop in Lyon (France)
Talks about perturbation of P-critical bundles:
17/06/2025 : MARGE3 workshop in Brest (France)