Speaker: Aliaksandr Hancharuk (Jilin)
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Title: On construction of Z-graded Q-varieties
Abstract: Given a commutative algebra O, a proper ideal I in O, and a Lie subalgebra F of Der(O) preserving I, we construct a Z-graded dg-algebra encoding both Koszul-Tate resolution of O/I and a positive graded Q-variety A associated to F. When O is a polynomial algebra (or an algebra of smooth functions on a manifold M together with mild conditions on F and I), the construction can be obtained after finitely many homological computations and admits a manifest description. Concrete examples are given. This is a joint work in progress with Ruben Louis.