I will recall the construction by Dolgachev and Nikulin of lattice mirror symmetry for K3 surfaces and recall how this applies in the framework of K3 surfac
This talk is based on a joint project with Dongning Wang,Sushmita Venugopalan and Chris Woodward.We consider the symplectic vortex equation over the disk wi
I will present the Landau-Ginzburg mirror symmetry conjecture and its proof for all invertible singularities.The proof includes a reconstruction theorem for
We study analytic continuations of quantum cohomology under simple flips.We reduce the problem to local models and then solve the local model case by block
The generating series of the Gromov-Witten invariants naturally give rise to q-expansions as well as tau-expansions.From the perspective of matching the Gro
Introduced by Maulik-Okounkov-Nekrasov-Pandharipande,the Gromov-Witten/Donaldson-Thomas correspondence states that the generating functions of the two curve