Title: The geometry of singular Kahler-Einstein metricsAbstract: The existence of a Kahler-Einstein metric can be a powerful tool to study complex manifolds. To use similar methods in the study of singular varieties, we need to understand the geometry of singular Kahler-Einstein metrics. I will discuss what some of the basic questions are, as well as […]
Title: TBA Abstract: TBA
Title and abstract TBA
Title: On the Global Well-posedness and Scattering of the Schrödinger and Wave equations on the Hyperbolic Spaces
Title: TBA Abstract: TBA
Title and abstract TBA
Title: Automorphic Representations and Quantum Logic Gates Abstract: Any construction of a quantum computer requires finding a good set of universal quantum logic gates: abstractly, a finite set of matrices in U(2^n) such that short products of them can efficiently approximate arbitrary unitary transformations. The 2-qubit case n=2 is of particular practical interest. I will […]
Weyl law improvement on product of Zoll manifold