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...
The Unique Games conjecture (UGC) has emerged in recent years as
the starting point for several optimal inapproximability results.
While for none of these results a reverse reduction to Unique Games
is known, the assumption of bijective...
The Johnson-Lindenstrauss lemma (also known as Random
Projections) states that any set of n points in Euclidian space can
be embedded almost isometrically into another Euclidian space of
dimension O(log(n)). The talk will focus on the efficiency...
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...
