Past Events

Biodegradation in soils has many implications for humankind. The importance of studying this process relies upon, for example, the impact of global warming, increasing food security and mitigating soil degradation. From the diverse problems to tackle...

“What kind of rings can be represented as singular cohomology rings of spaces?” is a classic problem in algebraic topology, posed by Steenrod. When the rings are polynomial, this problem was especially well studied by various approaches, and finally...

The Fibonacci sequence \(F(n) : (n\geq 0) is the binary recurrence sequence defined by $$ F(0) = F(1) = 1 \qquad \mbox{and} \\ F(n+2) = F(n+1) + F(n) \qquad \forall n \geq 0. $$ There is a broad literature on the Diophantine equations involving the...

We present a kinetic version of the Watanabe-Strogatz (WS) transform for vector models in this paper. From the generalized WS-transform, we can reduce the kinetic vector model into an ODE system. We also obtain the cross-ratio type constant of motion...

The “key risk measures” such as Value-at-Risk (VaR) and Conditional Tail Expectation (CTE) are important for capital allocation decisions as they inform actuaries and risk managers about the degree to which a line of business or a company is exposed...

The connections between representations of complex semisimple Lie algebras and the geometry of the corresponding flag manifolds have a long history. Moreover, combinatorics plays an important role in the related computations. My talk is devoted to...

In 1982, Livingston showed that several examples of Seifert surfaces that are not isotopic in the 3-sphere become isotopic when pushed into the 4-ball. This is consistent with a common intuition in topology: objects that are somehow similar should...

The principle of ‘maximum entropy’ states that the probability distribution which best represents the current state of knowledge about a system is the one with largest entropy with respect to a given prior (data) distribution. It was first formulated...

A process Y is a factor of a process X if it can be written as Y=F(X) for some function F which commutes with translations. The factor is finitary if Y_0 is almost surely determined by some finite portion of the input X. Given a process Y, the...

This work describes how machine learning may be used to develop accurate and efficient nonlinear dynamical systems models for complex natural and engineered systems. We explore the sparse identification of nonlinear dynamics (SINDy) algorithm, which...