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Mathematics & Statistics
Colloquium Archive

# Colloquia — Fall 2018

## Friday, November 30, 2018

Title
Speaker

Time
Place

TBA
Zixia Song
University of Central Florida
3:00pm-4:00pm
CMC 130
Theo Molla

Abstract

TBA

## Friday, November 2, 2018

Title
Speaker

Time
Place

TBA
John Schanck
Institute for Quantum Computing
University of Waterloo
3:00pm-4:00pm
CMC 130
Jean-François Biasse

Abstract

TBA

## Friday, October 19, 2018

Title
Speaker

Time
Place

Almost axisymmetric flows
Marc Sedjro
African Institute for Mathematical Sciences (AIMS)
Tanzania, Africa
3:00pm-4:00pm
CMC 130

Abstract

Almost axisymmetric flows are designed to model tropical cyclones. In 1988, Shutts et al proposed a discrete procedure to construct a solution to the forced axisymmetric flows within a rigid boundary. In this talk, I will discuss how we have extended their results to the continuous case within an appropriate free boundary domain. In addition, I will explain how overcoming an elliptic regularity issue could be an important step toward extending our procedure to handle almost axisymmetric flows.

## Friday, October 12, 2018

Title
Speaker

Time
Place

Universality: from Taylor series to optimal polynomial approximants
Myrto Manolaki
University of Dublin
3:00pm-4:00pm
CMC 130
Catherine Bénéteau

Abstract

It is known that for most analytic functions on the unit disc $$D$$, the partial sums of their Taylor series behave chaotically outside $$D$$, in the sense that they can approximate every plausible function. Analytic functions with such universal Taylor expansions have been intensively studied over the past 20 years. After an overview of the subject, I will discuss the phenomenon of universality in a non-linear setting: namely, for optimal polynomial approximants of reciprocals of analytic functions.

## Friday, October 5, 2018

Title
Speaker

Time
Place

Ring Theoretic Aspects of Quandles
Boris Tsvelikhovskiy
Northeastern University
3:00pm-4:00pm
CMC 130

Abstract

A quandle is a set $$X$$ with a binary operation satisfying axioms analogous to Reidemeister moves (this operation is usually nonassociative). They were introduced independently by Joyce and Matveev in the 1980's with the purpose of constructing invariants of knots. In a recent paper arXiv:1709.03069 the authors initiated the study of quandle rings. For the duration of the talk we will mostly concentrate on finite quandles (the set $$X$$ consists of finitely many elements). After discussing some basic properties of these rings, I will explain how ideas from representation theory of finite groups and semigroups under certain assumptions allow to classify simple right and left ideals. Examples will be provided. In the final part of the talk some open problems will be mentioned.

Title
Speaker

Time
Place