D-Geometric Hilbert and Quot DG-Schemes - Derived Hilbert Scheme of Solutions to Nonlinear PDE

Explore advanced concepts in derived algebraic geometry through this conference talk that examines D-geometric Hilbert and Quot DG-schemes, with particular focus on derived Hilbert schemes of solutions to nonlinear partial differential equations. Delve into the mathematical framework that connects differential geometry with algebraic structures, understanding how derived schemes provide a sophisticated approach to studying solution spaces of complex mathematical systems. Learn about the theoretical foundations and applications of these geometric constructions in modern mathematical research, gaining insights into how D-geometric methods can be applied to analyze and understand the structure of solution sets for nonlinear PDEs through the lens of derived algebraic geometry.