Named in honor of Professor Emeritus Michael E. Taylor, this seminar brings in speakers from various areas of Analysis, such as Partial Differential Equations, Harmonic Analysis, Geometric Analysis/Spectral Theory, Applied Probability and Mathematical Physics. Topics covered include aspects of Mathematical Relativity, Quantum Mechanics, Fluid Dynamics, Nonlinear Evolution Equations and more. The Seminar is especially thankful for the support provided by Carolina Seminars.
Visit the official Seminar Website for information and the Analysis & PDE RTG Website to learn more about all other opportunities offered in part through the support of the Research and Training Grant NSF DMS-2135998.
Time:
Wednesdays, 3:30 PM – 4:30 PM
Location:
Phillips Hall 385
Organizers:
Arunima Bhattacharya, Casey Rodriguez, and Dan Weser
Mailing list:
To be added to the UNC PDE email list, please email Tabs Faulkner and Casey Rodriguez.
There are no upcoming events at this time.
Nodal domain count for eigenfunctions of dumbbell domains Abstract. The eigenvalues and eigenfunctions of the Laplacian of a plate determine the constant frequencies at which the plate can vibrate. The zero set of the eigenfunction then corresponds to the curves … Read more
On the Donaldson-Scaduto conjecture. Abstract. Donaldson proposed a new method to study manifolds with special holonomy groups, particularly Calabi-Yau 3-folds and G2-manifolds, utilizing a Lefschetz fibration. Motivated by collapsing G2-manifolds with K3 fibrations in the adiabatic setting, Donaldson and Scaduto … Read more
The 2024 UNC PDE Mini-school will feature a series of lectures by Gigliola Staffilani from MIT. We will have additional complementary "satellite" talks by Gonzalo Cao-Labora (MIT), Felipe Hernandez (MIT), and Xueying Yu (Oregon State University). Analysis and PDE Mini-School Website … Read more
Gravity water waves with constant vorticity at low regularity and balanced energy estimates Abstract. In this talk I will talk about the Cauchy problem of two-dimensional gravity water waves with constant vorticity. The water waves system is a nonlinear dispersive … Read more
Resonances and transmission for waves in truncated media Abstract. In a lot of toy models in quantum mechanics, you can construct “states” that live only at certain ”energies” by trapping things into specific regions, say using an infinite square well … Read more
Interior Hessian estimates for singularities of the Lagrangian mean curvature flow Abstract. In this talk, we discuss the history of the Lagrangian Mean Curvature equation beginning with the special Lagrangian equation of Harvey and Lawson. We consider the hypercritical case … Read more
A geometric flow towards Hamiltonian stationary submanifolds Abstract. In joint work with Jingyi Chen, we introduce a geometric flow for Lagrangian submanifolds in a Kähler manifold which stays in its initial Hamiltonian isotopy class and is a gradient flow for … Read more
