In the first half of the talk I shall present a new algebraic
proof of a result of Deligne-Illusie about the degeneration of the
Hodge-de Rham spectral sequence. The idea is to reduce the main
technical point of their proof to a question about the...
In this talk, we will discuss symplectomorphisms coming from
Dehn twists along Lagrangian spherical manifolds. The main focus
will be on the induced auto-equivalences of the Fukaya category. We
will explain the auto-equivalence formula from several...
In the talk, we will discuss how to relate scattering diagram
with quiver representations. Then we can see how the broken lines
give a stratification of quiver Grassmannian. At the end, we will
briefly discuss how we can fry to compute the structure...
Consider the Fukaya A8 algebra $E$ of $RP^{2m}$ in $CP^{2m}$
(with bulk and equivariant deformations, over the Novikov ring). On
the one hand, elementary algebraic considerations show that E admis
a rigid cyclic minimal model, whose structure...
