Algebraic Geometry Seminar: Kai Behrend
Topic
Derived Moduli of Noncommutative Projective Schemes
Speakers
Details
Abstract:
I will talk on joint work in progress with Behrang Noohi. We study the GIT problem given by the differential graded Lie algebra of Hochschild cochains of a finite graded algebra. This will lead to a definition of stability for non-commutative polarized projective schemes, and to the construction of quasi-projective moduli spaces for them. These moduli spaces are differential graded schemes. There may be new moduli spaces with symmetric obstruction theories coming out of this.
I will talk on joint work in progress with Behrang Noohi. We study the GIT problem given by the differential graded Lie algebra of Hochschild cochains of a finite graded algebra. This will lead to a definition of stability for non-commutative polarized projective schemes, and to the construction of quasi-projective moduli spaces for them. These moduli spaces are differential graded schemes. There may be new moduli spaces with symmetric obstruction theories coming out of this.
