Past Events

In 1979, Erdős conjectured that for k≥9, 2k is not the sum of distinct powers of 3. That is, the set of powers of two (which is 2-automatic) and the 3-automatic set consisting of numbers whose ternary expansions omit 2 has finite intersection. In the...

In this talk we consider the injective chromatic index and the oriented chromatic number of graphs with bounded Euler genus. In particular, we present our proofs of a tight (up to the choice of little o(1)) bound on the injective chromatic index in...

I will survey the state of the art of pointwise ergodic theory before Covid, with an emphasis on the work of Bourgain.

We introduce p-adic cellular neural networks, a mathematical generalization of cellular neural networks. These networks have infinite cells with a hierarchy structure and hidden layers. We discuss two types of p-adic CNNs: one for grayscale image...

I will survey the state of the art of pointwise ergodic theory before Covid, with an emphasis on the work of Bourgain.

TBC

For an integer k≥3; Δk (x) :=∑n≤xdk(n)-Ress=1 (ζk(s)xs/s), where dk(n) is the k-fold divisor function, and ζ(s) is the Riemann zeta-function. In the 1950's, Tong showed for all large enough X; Δk(x) changes sign at least once in the interval [X, X +...

In this lecture, I will focus on formulating a dynamical geometric surface partial differential equation for modelling static images during the process of single or collective cell migration. In the absence of detailed experimental molecular and...

Periods are integrals of differential forms, and their study spans many branches of mathematics, including diophantine geometry, differential algebra, and algebraic geometry. If one restricts their attention to periods arising over OQ, then the...

In this lecture, I will focus on formulating a dynamical geometric surface partial differential equation for modelling static images during the process of single or collective cell migration. In the absence of detailed experimental molecular and...