Department of Mechanical Engineering, University of Canterbury

Tue 25 Sep 2018, 12:30pm
Scientific Computation and Applied & Industrial Mathematics
ESB 4133 (PIMS Lounge)

Evolution of Solid Bodies due to Melting, Erosion and Deposition

ESB 4133 (PIMS Lounge)
Tue 25 Sep 2018, 12:30pm1:30pm
Abstract
Moving boundary problems are found in many contexts including coastlines and the seabed on the large scale to atherosclerosis and blood clotting on the micro scale. The coupling between the fluid flow and evolving solid bodies is an important consideration when modelling these problems. We have run numerical simulations for the melting front of ice for both interior and exterior flows; classical examples of the Stefan problem. We also modelled erosion and colloidal deposition problems which involved other constitutive equations. The terminal shape of an eroding cylinder in cross flow was a rounded triangular profile pointed upstream, which agreed well with experimental results. All of these problems require careful attention to deformation of the mesh at the interface, and we have developed a node shuffle algorithm for preserving mesh quality at these boundaries.
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UBC

Wed 26 Sep 2018, 2:50pm
Topology and related seminars
ESB 4133 (PIMS lounge)

Symmetries of the Heegaard Floer theory of 4ended tangles

ESB 4133 (PIMS lounge)
Wed 26 Sep 2018, 2:50pm3:45pm
Abstract
The Heegaard Floer theory of a 4ended tangle takes the form of
an immersed curve (with possibly nontrivial local system) on the
boundary of the tangle minus the tangle ends. The Heegaard Floer
homology of a link can be computed as the Lagrangian intersection
theory of the Heegaard Floer homologies of two 4ended tangles
obtained by splitting the link along an embedded 2sphere.
I will outline the construction of the tangle invariant, with
particular focus on the action of the mapping class group of the
4punctured sphere. I will then discuss the current state of
symmetry properties for this invariant in the light of the
mutation conjecture.
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University of Ottawa

Thu 27 Sep 2018, 2:00pm
Mathematical Biology Seminar
ESB 4133

Population dynamics in patchy landscapes

ESB 4133
Thu 27 Sep 2018, 2:00pm2:50pm
Abstract

Mathematical models for population dynamics have a long history in biomathematics. They are tools to explore the effects of birth and death, species interaction, landscape quality and spatial movement on the persistence, spread and spatial distribution of a species. One particular question is how spatial variation in landscape attributes affects the dynamics of populations, for example in the context of species invasions. A relatively recent approach to this question divides a landscape into "patches" and incorporates smallscale individual movement information to predict largescale population dynamics. In this talk, I will review several aspects of this growing body of literature. I will include empirical evidence, model derivation, basic model outcomes, analytical challenges and some future ideas. The talk is aimed at a general mathbio audience.

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UBC Math

Fri 28 Sep 2018, 4:00pm
Department Colloquium
ESB 2012

Integers in manybody quantum physics

ESB 2012
Fri 28 Sep 2018, 4:00pm5:00pm
Abstract
Although integers are ubiquitous in quantum physics, they have different mathematical origins. In this colloquium, I will give a glimpse of how integers arise as either topological invariants or as analytic indices, as is the case in the socalled quantum Hall effect. I will explain the difficulties arising in extending wellknown arguments when one relaxes the approximation that the particles effectively do not interact with each other in matter. Recent advances have made such realistic generalizations possible.
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Northeastern

Mon 1 Oct 2018, 4:00pm
Algebraic Geometry Seminar
MATH 126

TBA

MATH 126
Mon 1 Oct 2018, 4:00pm5:00pm
Abstract
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Seminar Information Pages

Note for Attendees
Refreshments will be served in ESB 4133 from 3:45 p.m.4:00 p.m.