Ruichuan Zhang: Log Geometry from Derived Point of View

Log geometry provides a language system, in which we can treat geometric spaces that have mild singularity as "smooth" objects in some sense. On the other hand, derived geometry can be regarded as a kind of deformation of classical algebraic geometry.  In this talk, we firstly review the basic definitions in both log and derived settings. Then we will introduce the moduli stack of log structures. If time permits, we will see how to use this stack realise certain motivic invariants, and further development in spectral and analytic geometry.