UBC

Thu 26 Mar 2015, 4:30pm
Symmetries and Differential Equations Seminar
Math 125

Recent advancements in geometric numerical integration

Math 125
Thu 26 Mar 2015, 4:30pm5:30pm
Abstract
I will discuss the construction of invariant and conservative finite
difference schemes. The methods introduced are applicable to general
systems of differential equations that possess symmetries and conservation
laws. This is a substantial generalization to symplectic or mimetic
integrators which are only applicable to specific types of differential
equations. Some numerical examples will be given illustrating the
strengths of the proposed methods.
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UBC

Fri 27 Mar 2015, 3:00pm
Department Colloquium
ESB 2012

CRMFieldsPIMS prize lecture: algebraic stacks and the inertia operator

ESB 2012
Fri 27 Mar 2015, 3:00pm4:00pm
Abstract
Motivated by subtle questions in DonaldsonThomas theory, we study the spectrum of the inertia operator on the Grothendieck module of algebraic stacks. We hope to give an idea of what this statement means. Along the way, we encounter some elementary, but apparently new, questions about finite groups and matrix groups. Prerequisites for this talk: a little linear algebra, and a little group theory.
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Mathematics, UBC

Mon 30 Mar 2015, 9:00am
SPECIAL
One Time Event
Room 203, Graduate Student Centre (6371 Crescent Rd), UBC

Doctoral Exam: Twisted Extensions of Fermat's Last Theorem

Room 203, Graduate Student Centre (6371 Crescent Rd), UBC
Mon 30 Mar 2015, 9:00am11:00am
Details
In 2011, Michael Bennett, Florian Luca and Jamie Mulholland showed that the equation involving a twisted sum of cubes has no pairwise coprime nonzero integer solutions for primes excluded from the set S where S is the set of primes q for which there exists an elliptic curve of conductor 18q, 36q, or 72q with at least one nontrivial rational 2torsion point. In this dissertation, I present a solution that extends the result to include a subset of the primes in S; those primes q in S for which all curves with conductor 18q, 36q, or 72q with nontrivial rational 2torsion have discriminants not of the form an integer squared or 3 times an integer squared. Using a similar approach, I will classify certain integer solutions to the equation of a twisted sum of fifth powers which in part generalizes work done from Billerey and Dieulefait in 2009.
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Mon 30 Mar 2015, 1:00pm
Math Education Research Reading
MATX1118

Finnish school system and its implementation in North America

MATX1118
Mon 30 Mar 2015, 1:00pm2:00pm
Abstract
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Harvard University

Mon 30 Mar 2015, 3:00pm
CRG Geometry and Physics Seminar
ESB4127

TBA

ESB4127
Mon 30 Mar 2015, 3:00pm4:00pm
Abstract
TBA
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UBC

Mon 30 Mar 2015, 3:00pm
Harmonic Analysis Seminar
Math 225

On Some Functional Analytic Properties Of Some Algebras Related to the Fourier Algebra

Math 225
Mon 30 Mar 2015, 3:00pm4:00pm
Abstract
Some functional analytic properties related to optimisation, such as the KreinMilman Property and the RadonNikodym Property, for some Banach Algebras related to the Fourier Algebra are investigated.
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Mathematics Manchester

Mon 30 Mar 2015, 3:00pm
SPECIAL
Institute of Applied Mathematics
LSK 460

Modelling plant cell and tissue growth

LSK 460
Mon 30 Mar 2015, 3:00pm4:00pm
Abstract
Plant growth typically occurs through the coordinated anisotropic expansion of plant cells. Growth is regulated by hormones and is driven by high intracellular pressures generated by osmosis. This machinery allows a plant primary root, for example, to penetrate soil in a direction guided by gravity, while seeking out nutrients and avoiding obstacles. I will describe the biomechanical aspects of a computational multiscale model for root gravitropism that incorporates descriptions of cell walls as fibrereinforced viscoelastic polymer networks and adopts upscaling approaches to efficiently describe the growth of multicellular tissues.
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Felipe Garcia Ramos Aguilar
Mathematics, UBC

Tue 31 Mar 2015, 12:30pm
SPECIAL
One Time Event
Room 203 of the Graduate Student Centre (6371 Crescent Road), UBC

Doctoral Exam: Randomness and Structure in Dynamical Systems: Different Forms of Sensitivity and Equicontinuity

Room 203 of the Graduate Student Centre (6371 Crescent Road), UBC
Tue 31 Mar 2015, 12:30pm2:30pm
Details
In this thesis we study topological (continuous map on a compact metric space) and measure theoretical (measure preserving map on a probability space) dynamical systems.
Dynamical systems range from chaotic (random) to predictable (high structure). Structure and randomness can be represented with different forms of equicontinuity and sensitivity to initial conditions (sensitivity).
Inspired by the classical dichotomy between sensitivity and equicontinuity we define weak forms of topological and measure theoretical equicontinuity and strong forms of sensitivity for dynamical systems, and we study their relationships with spectral properties and sequence entropy. We also prove results of how measure theoretically equicontinuous cellular automata (a particular class of topological systems with close connections to computer science) behave in the long term.
The work of this thesis answers questions from  B. Scarpellini. Stability properties of flows with pure point spectrum. Journal of the London Mathematical Society, 2(3):451–464, 1982.  F. Blanchard and P. Tisseur. Some properties of cellular automata with equicontinuity points. Annales de l’Institut Henri Poincare (B) Probability and Statistics, 36(5):569 – 582, 2000.
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Note for Attendees
Refreshments will be served at 2:30 p.m. in ESB 4133, the PIMS Lounge.