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## March 2019

### Refinements of metrics (Wai Yan Pong, CSUDH)

I will talk about a few graph-theoretic metrics then introduce the concept of refinements on a class of functions that include all metrics. As a case study, we will construct various refinements on the shortest-path distance. Consequently, we obtain a few "better" versions of the Erdos number. In the course of our investigation, we realized various construction of metrics can be unified under a rather natural concept that we called monotonic monoid norm. This is a joint work with Kayla Lock and Alex…

Find out more »### Reasoning about Liability of Intelligent Agents ( Naumov, CMC)

Abstract: As intelligent agents assume larger role in our daily lives, reasoning by humans about liability of such agents as well as reasoning by the intelligent agents themselves about liability becomes more important. The existing laws, written with humans in mind, will eventually need to be re-interpreted in terms of their applicability in a hybrid environment that consists of humans and intelligent agents. In some cases, new laws will need to be written to redefine liability in the context involving…

Find out more »## April 2019

### Applied Math Talk: Repurposing FDA-approved drugs as host-oriented therapies against infectious diseases (Prof. Mikhail Martchenko, KGI)

The traditional method of treating most human diseases is to direct a therapy against targets in the host patient, whereas conventional therapies against infectious diseases are directed against the pathogen. Unfortunately, the efficacy of pathogen-oriented therapies and their ability to combat emerging threats such as genetically engineered and non-traditional pathogens and toxins have been limited by the occurrence of mutations that render pathogen targets resistant to countermeasures. Our work shows that host proteins that are exploited by pathogens (Host Proteins…

Find out more »### On the interplay of functional analysis and operator theory (Puig de Dios, UCR)

Abstract: We overview some basic and striking facts concerning the theory of hypercyclic operators (considered to be born in 1982): 1. Hypercyclicity is a purely infinite-dimensional phenomenon: no finite dimensional space supports any hypercyclic operator; 2. It is not easy at all to determine whether a linear operator is hypercyclic. However, the set of hypercyclic operators is dense for the Strong Operator Topology in the algebra of linear and bounded operators; 3. Hypercyclicity is far from being an exotic phenomenon:…

Find out more »### A General Bayesian Discrete Time Survival Model (King, CPP)

Abstract: "We present a general Bayesian statistical model for discrete time, discrete state space stochastic processes. Applications include the modeling of recurrent and episodic disease processes, such as episodes of illicit drug use, as well as social processes such as educational enrollment and employment. We also present Markov chain Monte Carlo inference algorithms for our model, along with a freely available software package called "brea" which implements these methods in the R programming language."

Find out more »### Geometry of quotient varieties and the algebra of conformal blocks (Han-Bom Moon Fordham University)

An important question in classical representation theory is when the tensor product of two irreducible representations has another representation as a factor. In this talk, I will introduce a quantum generalization of this question and explain how we may relate this question to geometry of quotients of certain complex manifolds. This is joint work with Sang-Bum Yoo.

Find out more »### GEMS Workshop: “Graphs, matrices, and recurrences” with Professor Lucas Bang, from Harvey Mudd College

TOPIC: Graphs, matrices, and recurrences Abstract: In mathematics, we are often surprised to find that problems that look very different are actually the same problem in a different guise! In this seminar, we will build on the previous discussions about graph theory and describe how other areas of math are closely related to graphs. Specifically, we will learn how graph problems can be translated to and from matrix problems. We will also see how both graphs and matrices are related…

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