Polycrystalline materials, such as metals, ceramics and
geological materials, are aggregates of single-crystal grains that
are held together by highly defective boundaries. The structure of
grain boundaries is...
Using the spectral multiplicities of the standard torus, we
endow the Laplace eigenspace with Gaussian probability measure.
This induces a notion of a random Gaussian Laplace eigenfunctions
on the torus. We...
For many elegant mathematical examples, one can 1) find theories
behind them, 2) understand why they exist in the first place, 3)
explore the consequences in math and physics. If one takes the
Euler number as...
The Gaussian central limit theorem says that for a wide class of
stochastic systems, the bell curve (Gaussian distribution)
describes the statistics for random fluctuations of important
observables. In this...
In this talk, I will describe a construction of a geometric
realisation of a p-adic Jacquet-Langlands correspondence for
certain forms of GL(2) over a totally real field. The construction
makes use of the completed cohomology of Shimura curves...
