The Hull-Strominger system is a system of nonlinear PDEs describing the geometry of compactification of heterotic strings with flux to 4d Minkowski spacetime, which can be regarded as a generalization of Ricci-flat Kahler metrics coupled with Hermitian Yang-Mills equation on non-Kahler Calabi-Yau 3-

In this talk, we introduce the notion of Hamiltonian Stationary Lagrangian submanifolds and discuss their basic properties. We also prove a compactness theorem in 2 dimension.

In this talk, we will discuss the Kahler-Ricci flow on manifolds with cusp singularities and its motivation from analytic minimal model program.

In the talk, I will review recent progress on N-Mixed-Spin-P field theory and its application to the computation of Fan-Jarvis-Ruan-Witten invariants.  

First, we presents a basic decomposition method for a broad class of multi-block nonsmooth optimization problems subject to coupled linear constraints on the variables, which motivated by block partitioned problems arising from group sparsity representation and generalized non-cooperative potential

I will first review some universality results for Wigner matrices and sparse random graphs, and then talk about some recent development on the fluctuation of individial eigenvalues of these models.