The volume is a fundamental birational invariant of a smooth projective variety X. It measures the asymptotic growth of pluricanonical forms and, when X is minimal, it coincides with the top self-intersection number …

The Central Limit Theorem (CLT) is one of the most well-known results in probability theory. It is traditionally stated for independent and identically distributed random variables. In this talk, I will present a …

Two important measures of the size of a number field K are its degree and its discriminant. In this talk I will discuss a third measure given by the covering radius of the ring of integers O_K of K. This is the …

In 2000, Boneh and Durfee showed that if a certain heuristic hypothesis is true, one can find all small solutions of certain two variable congruences using the LLL algorithm for finding small non-zero elements of …

Let (M,g) be a closed negatively curved Riemannian manifold. For surfaces, we know since Hamilton that the normalized Ricci flow (NRF) defines a flow (g_t) of negatively curved metrics of constant area which …

We will show how to recover the construction of Deligne-Lustig representations by considering the trace of Frobenius on categorical G- representations. We will give a streamlined proof of the fact that the …

Models of materials physics constitute a classical motivation and field of application for nonlinear analysis. A central example of this interplay is the analysis of weakly differentiable manifold-valued maps. This …