AbstractThe first part of this talk will review recent work describing a geometric process by which gauge bundles can traverse conifold transitions in heterotic theories. These transitions lead to seemingly dual heterotic compactifications, generalizing the (0,2) target space duality seen in GLSMs. The second part of this talk will describe ongoing work aimed at investigating whether this is a ...
AbstractWe design and analyze some numerical methods for solving the Poisson-Nernst-Planck (PNP) equations. The numerical schemes, including finite difference method and discontinuous Galerkin method, respect three desired properties that are possessed by analytical solutions: I) conservation, II) positivity of solution, and III) free-energy dissipation. Advantages of different types of methods...