| Speaker: | Bertrand Toen (U. Montpellier) |
|---|---|
| Title: | Lecture 2: Moduli 1: moduli space of simple objects. |
| Date (JST): | Wed, Apr 14, 2010, 15:30 - 17:00 |
| Place: | Seminar Room A |
| Abstract: | Lecture 2-3: We discuss the general problem of constructing an algebraic moduli of objects in derived categories. We will present a first solution to this problem by stating the existence of an algebraic space of compact and simple objects in a nice enough dg-category. We provide applications of the existence a such a moduli space in the study of derived category of algebraic varieties. In a second part, we study the existence of a moduli space for non necessarily simple objects, and state the existence of an algebraic (higher) stack classifying all compact objects in a nice dg-category. As an application we present the construction of Hall algebras in the derived setting by means of geometric methods. |
| Remarks: | We have a homepage for detailed information on this lecture. Please click speaker's name. |
