Mathematics, SFU

Mon 22 Sep 2014, 3:00pm
Institute of Applied Mathematics
LSK 460

Challenges and Opportunities in ”Mathematics for Industry”

LSK 460
Mon 22 Sep 2014, 3:00pm4:00pm
Abstract
Industrial mathematics is a field that spans a broad spectrum of activity ranging from applied R&D performed by mathematicians employed in industry, to purely academic research projects undertaken by university mathematics professors. In this talk, I will survey several research projects I have been involved with that fall under the heading of what I’ll call ”mathematics *for* industry”, which relates specifically to direct collaborations between university mathematicians and nonacademic partner organizations. These projects encompass a diverse collection of mathematical techniques (ranging from simple algebra to partial differential equations, finite volume methods, inverse problems and homogenization theory) as well as applications from many scientific disciplines (such as fluid mechanics, image processing, atmospheric science and plant biology). In the process, I will attempt to characterize the job of an industrial mathematician and to identify the qualities and skills that are most desirable for anyone interested in making significant contributions to research at the interface between university and industry. I also hope to convince you that industrial collaborations can be a rich source of challenging and novel mathematical problems for academic mathematicians.
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Bonn

Mon 22 Sep 2014, 3:00pm
CRG Geometry and Physics Seminar
ESB 4127 (host: UBC)

Graded quiver varieties and derived categories

ESB 4127 (host: UBC)
Mon 22 Sep 2014, 3:00pm4:00pm
Abstract
Nakajima's quiver varieties are important geometric objects in representation theory that can be used to give geometric constructions of quantum groups. Very recently, graded quiver varieties also found application to monoidal categorification of cluster algebras. Nakajima's original construction uses geometric invariant theory. In my talk, I will give an alternative representation theoretical definition of graded quiver varieties. I will show that the geometry of graded quiver varieties is governed by the derived category of the quiver. This is joint work with Berhard Keller.
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UBC

Tue 23 Sep 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

General Hardytype inequalities on manifolds.

ESB 2012
Tue 23 Sep 2014, 3:30pm4:30pm
Abstract
Given a general secondorder, elliptic operator P on a general domain, we discuss the question of finding an "optimal", or "asymptotically optimal", Hardy inequality for P. Such an inequality can be considered as a gneralized spectral gap inequality of P. If time allows, we will also consider the $L^p$ case.
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Kyoto University

Wed 24 Sep 2014, 3:00pm
Probability Seminar
ESB 2012

Quenched Invariance Principle for a class of random conductance models with longrange jumps

ESB 2012
Wed 24 Sep 2014, 3:00pm4:00pm
Abstract
We study random walks on Z^d among random conductances {C_{xy}: x,y in Z^d} that permit jumps of arbitrary length. Apart from joint ergodicity with respect to shifts, we assume only that the nearestneighbor conductances are uniformly positive and that sum_{x in Z^d} C_{0x} x^2 is integrable.
Our focus is on the Quenched Invariance Principle (QIP) which we establish in all d >= 3 by a combination of corrector methods and heatkernel technology. We also show that our class contains examples where the corrector is not sublinear everywhere and yet the QIP holds. Thus, although the recent work of Andres, Slowik and Deuschel can be extended to longrange models, it cannot cover all cases for which the QIP is conjectured to hold. Notwithstanding, a combination of their methods with ours proves the QIP for random walks on longrange percolation graphs with exponents larger than d+2 in all d >= 2, provided all nearestneighbor edges are present.
This is an ongoing joint work with Marek Biskup (UCLA).
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UBC

Wed 24 Sep 2014, 3:15pm
Topology and related seminars
ESB 4133

Algebraic KTheory of Group rings and its applications

ESB 4133
Wed 24 Sep 2014, 3:15pm4:15pm
Abstract
In this talk I will mention some conjectures about group rings (Idempotent conjecture, unit conjecture) and mention their stable versions. Those involve algebraic Ktheory. I will explain how the FarrellJones conjecture implies those stable versions. I will then finish with the status of the FarrellJones conjecture. The cheapest way to prove it for a certain group is to use its inheritance properties, but this also touches very interesting questions in (geometric) group theory.
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UBC

Thu 25 Sep 2014, 1:05pm
Graduate Student Seminar
Math 225

What is... a CWComplex?

Math 225
Thu 25 Sep 2014, 1:05pm2:00pm
Abstract
In the Lego world, everything is built out of simple blocks fitting together in a prescribed way. In the mathematical world, you can just as easily think of cubes (or hypercubes) as Lego blocks and build away!
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UBC

Thu 25 Sep 2014, 3:30pm
Number Theory Seminar
room MATH 126

Primitive and doubly primitive divisors in dynamical sequences

room MATH 126
Thu 25 Sep 2014, 3:30pm4:30pm
Abstract
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UBC

Fri 26 Sep 2014, 3:00pm
Department Colloquium
Mathematics Annex 1100

The Dynamical MordellLang problem

Mathematics Annex 1100
Fri 26 Sep 2014, 3:00pm4:00pm
Abstract
A space X is called Noetherian if there is no infinite descending chain of closed subsets of X. Let X be a Noetherian space, let f be a continuous selfmap on X, let Y be a closed subset of X, and let x be a point in X. We show that the set containing all positive integers n such that the nth iterate of x under f lands in Y is a union of at most finitely many arithmetic progressions along with a set of Banach density 0. This result has various consequences from the distribution of zeros in recurrence sequences to questions in arithmetic geometry.
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Note for Attendees
John Stockie is the winner of the 2014 CAIMS/Mprime Industrial Mathematics Prize.