Explore the geometry of reproducing kernels in Hilbert spaces of analytic functions in this 39-minute conference talk by Anton Baranov. Recorded during the thematic meeting "Shapes and shades of analysis: in depth and beyond" at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into advanced mathematical concepts and their applications in this in-depth presentation. Access the video through CIRM's Audiovisual Mathematics Library, which offers features such as chapter markers, keywords, enriched content with abstracts and bibliographies, and multi-criteria search options for a comprehensive learning experience.