Print Friendly printer friendly
 Events
Alex Bihlo
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, 4:30pm-5:30pm

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.
hide
UBC
Fri 27 Mar 2015, 3:00pm
Department Colloquium
ESB 2012
CRM-Fields-PIMS prize lecture: algebraic stacks and the inertia operator
ESB 2012
Fri 27 Mar 2015, 3:00pm-4:00pm

Abstract

Motivated by subtle questions in Donaldson-Thomas 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.

Note for Attendees

Refreshments will be served at 2:30 p.m. in ESB 4133, the PIMS Lounge.
hide
Carmen Bruni
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, 9:00am-11:00am

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 2-torsion 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 2-torsion 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.
hide
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, 1:00pm-2:00pm

Abstract

 
hide
Harvard University
Mon 30 Mar 2015, 3:00pm
CRG Geometry and Physics Seminar
ESB4127
TBA
ESB4127
Mon 30 Mar 2015, 3:00pm-4:00pm

Abstract

 TBA
hide
Ed Granirer
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, 3:00pm-4:00pm

Abstract

Some functional analytic properties related to optimisation, such as the Krein-Milman Property and the Radon-Nikodym Property, for some Banach Algebras related to the Fourier Algebra  are investigated.
hide
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, 3:00pm-4:00pm

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 fibre-reinforced viscoelastic polymer networks and adopts upscaling approaches to efficiently describe the growth of multicellular tissues.

 
hide
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, 12:30pm-2:30pm

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.
hide
 
Top