Linear series on smooth curves parametrize invertible sheaves together with linear subspaces of their global sections. This has been generalized to nodal curve of compact type by Eisebud-Harris and Os...
Enhanced ind-sheaves describe the Betti side of the irregular Riemann-Hilbert correspondence, in a manner compatible with Grothendieck's operations. In this way, classical constructions on the de Rham...
By the work of Donovan and Wemyss, the functor of noncommutative deformations of a flopping irreducible rational curve C in a threefold X is representable by an algebra called the contraction algebra....
I will report on a joint work with Mattia Ornaghi and Paolo Stellari, where we prove that, over an arbitrary commutative ring, the localizations with respect to quasi-equivalences of the categories of...
In these lectures, I will review the Batalin–Vilkovisky formalism (and its cognates) in which the spaces of fields of a physical theory are presented as complexes whose cohomology returns the physical...
I will review some constructions of BV and hypercommutative algebras for manifolds with additional geometric structures, ranging from Poisson to Hermitian manifolds. Such algebra structures are relate...
