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Watch a 55-minute conference talk from the "Logarithmic and non-archimedean methods in Singularity Theory" meeting at CIRM where Nero Budur presents a principle for deformation theory with cohomology constraints in characteristic zero. Learn about the generalization of Deligne's deformation theory principle through dg Lie modules and $\text{L}\infty$ modules, developed in collaboration with B. Wang and M. Rubio. Explore how this theory applies to generic compact Riemann surfaces, demonstrating that theta functions at every point on the Jacobian equal their first non-zero Taylor term, modulo local holomorphic coordinate changes and unit multiplication. Access this mathematical presentation through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and comprehensive search functionality organized by author, title, tags, and mathematical area.
