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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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

IAMPIMS Distinguished Colloquium: 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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Harvard University

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

Period integrals and their differential systems

ESB4127
Mon 30 Mar 2015, 3:00pm4:00pm
Abstract
Period integrals are geometrical objects which can be realized as special functions, or sections of certain bundles. Their origin goes back to Euler, Gauss and Legendre in the study of complex algebraic curves. In their modern version, period integrals naturally arise in Hodge theory, and more recently in mathematical physics, and the theory of hypergeometric functions. I will give an overview of a recent program to use differential equations and Dmodule theory to study period integrals. Connections to hypergeometric functions of Gel'fandKapranovZelevinsky (GKZ) will also be considered. We will see that the theory is intimately related to a particular infinite dimensional representation of a reductive Lie algebra, and the topology of certain affine varieties. I will describe how the theory could help calculate period integrals, and offers new insights into the GKZ theory, and mirror symmetry for toric and flag varieties. This talk is based on joint works with S. Bloch, B. Lian, V. Srinivas, ST. Yau, and X. Zhu.
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Mathematics, Bath

Tue 31 Mar 2015, 12:00pm
Scientific Computation and Applied & Industrial Mathematics
ESB 4133

Optimal mesh generation for PDEs with applications to meteorology

ESB 4133
Tue 31 Mar 2015, 12:00pm2:00pm
Abstract
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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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Williams College

Thu 2 Apr 2015, 3:30pm
Number Theory Seminar
room MATH 126

Characters and their nonresidues

room MATH 126
Thu 2 Apr 2015, 3:30pm4:30pm
Abstract
Understanding the least quadratic nonresidue (mod p) is a classical problem, with a history stretching back to Gauss. The approach which has led to the strongest results uses character sums, objects which are ubiquitous in analytic number theory. I will discuss character sums, their connection to the least nonresidue, and some recent work of myself and Jonathan Bober (University of Bristol) on a promising new approach to the problem.
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Thu 2 Apr 2015, 4:30pm
Symmetries and Differential Equations Seminar
Math 125

TBA

Math 125
Thu 2 Apr 2015, 4:30pm5:30pm
Abstract
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UBC

Thu 9 Apr 2015, 3:30pm
Number Theory Seminar
room MATH 126

Eigenfunction estimate on congruence hyperbolic manifolds

room MATH 126
Thu 9 Apr 2015, 3:30pm4:30pm
Abstract
Understanding the behavior of various L^{p} norms of highenergy eigenstates of the Laplacian on a compact Riemannian manifold is an important and interesting problem lying in the intersection of diverse brunches of mathematics. We will be mainly focusing on the L^{∞} norms and also be discussing on a related problem which is known as Quantum Unique Ergodicity. It is expected that when the manifold has negative sectional curvature and has enough symmetry from underlying congruence subgroup of the isometry group, the L^{∞} norm can be sharpened from the socalled trivial bound. We give a partial result in the case of hyperbolic manifolds of dimension 4 and 5. This is a joint work with my supervisor Lior Silberman.
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Fri 10 Apr 2015, 3:00pm
Department Colloquium
LSK 200


LSK 200
Fri 10 Apr 2015, 3:00pm4:00pm
Abstract
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UCLA

Thu 21 May 2015, 3:30pm
Number Theory Seminar
room MATH 126

TBA

room MATH 126
Thu 21 May 2015, 3:30pm4:30pm
Abstract
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Mon 25 May 2015, 11:30am
SPECIAL
One Time Event
MATH 126

Mathematics Grad Reception

MATH 126
Mon 25 May 2015, 11:30am1:00pm
Details
The luncheon and awards presentation will be followed by the Niven Lecture at 1:15pm.
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Duke University

Mon 25 May 2015, 1:15pm
SPECIAL
Department Colloquium
MATX 1100

Niven lecture: Surfing with wavelets

MATX 1100
Mon 25 May 2015, 1:15pm2:15pm
Abstract
Wavelets provide a mathematical tool that emerged in the 1980s from a synthesis of ideas in mathematics, physics, computer science and engineering. They are now used in a wide range of mathematical applications, and provide a mathematical way to "zoom in" on details, without losing track of the large picture. The talk will describe some of the essential features of the approach, and illustrate with examples.
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Fri 11 Sep 2015, 3:00pm
Department Colloquium

reserved

Fri 11 Sep 2015, 3:00pm4:00pm
Abstract
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Princeton University

Fri 23 Oct 2015, 3:00pm
SPECIAL
Department Colloquium / PIMS Seminars and PDF Colloquiums
ESB2012

TBAPIMS/UBC Distinguished Colloquium

ESB2012
Fri 23 Oct 2015, 3:00pm4:00pm
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Note for Attendees
There will be the Grad Reception on Monday, May 25th at 11:301:00 (lunch and awards presentation).