Past Events

The Bloch-Kato-Milnor conjecture relates Galois cohomology to Milnor K-theory of fields. A celebrated proof of this result was furnished by Voevodsky. Motivic cohomology and Rost's norm varieties are key ingredients. They were tailored specifically...

We study the family of one dimensional piecewise smooth dynamical systems in which two classic theorems are still permanent. One of them is Birkhoff Transitivity Theorem and the other one is Banks, Brooks, Cairns, Davis and Stacey Theorem. Baker like...

We will consider the inverse problem of determining the sound speed or index of refraction of a medium by measuring the travel times of waves going through the medium. This problem arises in global seismology in an attempt to determine the inner...

Given a prime power q≡1(mod4), the Paley graph of order q is the graph defined over 𝔽q (the finite field with q elements), such that two vertices are adjacent if and only if their difference is a square in 𝔽q. A clique in the Paley graph over 𝔽q is a...

Reaction-diffusion systems serve as paradigms to describe ubiquitous pattern formation phenomena arising from natural science and social science such as biology, ecology, finance,etc., and have been extensively studied over the past several decades...

A harmonic function of one variable is a linear function. A harmonic function of two variables is the real or imaginary part of an analytic function. A harmonic function of n variables is a function u satisfying \frac{\partial^{2}u}{\partial x_{1}^{2...

This work proposes and analyzes an immune-structured population model of tilapia subject to Tilapia Lake Virus (TiLV) disease. The model incorporates within-host dynamics, used to describe the interaction between the pathogen, the immune system and...

Hopf algebras are algebras for which one can form the tensor product of two representations. In more abstract terms, this means that their representation category is a tensor category, and all additional required properties of this tensor category...

Every group admits a faithful unitary representation on some Hilbert space. In other words, every group can be realized concretely as symmetries on a Hilbert space. From these representations we can construct certain operator algebras known as C*...

Generalized geometry, introduced by Hitchin in the early 2000s, has not only grown into a formalism for understanding previously mysterious constructions in physics (especially in supersymmetric sigma models) but has also led to the discovery of new...