I will discuss Gamma conjecture and its proof in some examples
(such as complete intersections in toric varieties) using mirror
symmetry. Specifically, I will talk about the B-model $D$-module
associated with a LG model, Dubrovin conjecture, and...
Conventional Riemann-Hilbert correspondence relates the category
of holonomic $D$-modules (de Rham side) with the category of
constructible sheaves (Betti side). I am going to reconsider this
relationship from the point of view of deformation...
Following Katz-Nishinou, we will compute the number of lines on
a quintic threefold in $\mathbb P^4$ by degenerating the quintic to
the union of coordinate hyperplanes. This motivates degeneration
formulae in Gromov-Witten theory that I will give...
