From perfect obstruction theories to commutative differential graded algebras
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Tue, 22/05/2012 15:45 |
Timo Schurg (Bonn) |
Algebraic and Symplectic Geometry Seminar  |
L3 |
| A perfect obstruction theory for a commutative ring is a morphism from a perfect complex to the cotangent complex of the ring satisfying some further conditions. In this talk I will present work in progress on how to associate in a functorial manner commutative differential graded algebras to such a perfect obstruction theory. The key property of the differential graded algebra is that its zeroth homology is the ring equipped with the perfect obstruction theory. I will also indicate how the method introduced can be globalized to work on schemes without encountering gluing issues. | |||