Deformations of graded gentle algebras and the geometric interpretation

Speaker: 汪正方 (南京大学)

Time: 2025-11-29 10:0-13:00
Location: 1110, SIMIS
Zoom Meeting ID: 869 5076 1955 Passcode: SIMIS

摘要：

A general principle in symplectic geometry, formulated by Seidel in his ICM 2002 address, is that the Fukaya category of a partial compactification of a non-compact symplectic manifold M may be viewed as a deformation of the Fukaya category of M. Conversely, one may ask if any deformation parametrized by a class in Hochschild cohomology has a geometric interpretation. We show that deformations of (topological) partially wrapped Fukaya categories of surfaces correspond to smooth or orbifold compactifications of the underlying surface. To show this, we give a complete description of A-infinity deformations of graded gentle algebras. As an application, we construct a family of non skew-gentle algebras which are derived equivalent to skew-gentle algebras. This is a joint work in progress with Barmeier and Schroll.