We introduce local invariants of algebraic spaces and stacks which measure how far they are from being a scheme. Using these invariants, we develop mostly topological criteria to determine when the mo...
Start of Winter School on Statistical Mechanics, Nonequilibrium Processes and Probability, which will take place February 17-28, 2025. All information available at https://sites.google.com/view/winter...
I will talk about a principal eigenvalue problem for a second-order elliptic operator with a very small diffusion coefficient in one direction. In this regime, how do the principal eigenvalue and the ...
In the first part of the course we will provide a brief introduction to the spectrum of the Laplacian on Euclidean domains and Riemannian manifolds, along with a few basic examples, and their relation...
The Flux Problem is a famous problem in condensed matter physics, solved by Lieb. It states that the magnetic flux through each plaquette of a square lattice in 2d (with either OBC/PBC or PBC/PBC) th...
In the first part of the course we will provide a brief introduction to the spectrum of the Laplacian on Euclidean domains and Riemannian manifolds, along with a few basic examples, and their relation...
Several problems in arithmetic geometry reduce to computing the monodromy group (or, closely related, the image of the Galois representation) of a suitable abelian variety A over a number field k. On ...
