Title: Introduction to Toen-Vaquie representability theorem
Abstract: Toen-Vaquie representability theorem is a major result in derived algebraic geometry, demonstrating that the moduli of perfect complexes is representable. In this talk, I will explain the statement of the Toen-Vaquie representability theorem and provide a sketch of the proof. If time permits, I will discuss the computation of the cotangent complex for the moduli of perfect complexes.