Symposia Paper Presentations1. Harmonic Analysis-PDE Speaker: Vijay Kumar Sohani Title: Nonlinear Schr\"{o}dinger equation for the twisted Laplacian Abstract: In this talk we will see the well posedness results for the nonlinearSchr\"{o}dinger equation for the magnetic Laplacian on $\mathbb{R}^{2n}$, corresponding to constant magnetic field, namely the twisted Laplacian on $\mathbb{C}^n$. We establish the well posednes in certain first order Sobolev spaces associated to the twisted Laplacian. The approach is via the spectral theory of the Schr\"{o}dinger propagator for the twisted Laplacian, and local existence is proved using Strichartz estimates established for the same. 2. Finite Groups 3. Logic 4. Number Theory 5. Discrete Mathematics 6. Topology and Geometry of Surfaces 7. Riemannian and Finsler Geometry 8. Ramanujan Mathematics 9. Complex Function Theory 10. Topology and Geometry of Surfaces |
