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 Events
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, 3:00pm-4:00pm

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 non-academic 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. 

Note for Attendees

John Stockie is the winner of the 2014 CAIMS/Mprime Industrial Mathematics Prize. 
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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, 3:00pm-4:00pm

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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Baptiste Devyver
UBC
Tue 23 Sep 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
General Hardy-type inequalities on manifolds.
ESB 2012
Tue 23 Sep 2014, 3:30pm-4:30pm

Abstract

Given a general second-order, 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 long-range jumps
ESB 2012
Wed 24 Sep 2014, 3:00pm-4:00pm

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 nearest-neighbor 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 heat-kernel 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 long-range 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 long-range percolation graphs with exponents larger than d+2 in all d >= 2, provided all nearest-neighbor 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 K-Theory of Group rings and its applications
ESB 4133
Wed 24 Sep 2014, 3:15pm-4:15pm

Abstract

In this talk I will mention some conjectures about group rings (Idempotent conjecture, unit conjecture) and mention their stable versions. Those involve algebraic K-theory. I will explain how the Farrell-Jones conjecture implies those stable versions. I will then finish with the status of the Farrell-Jones 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 CW-Complex?
Math 225
Thu 25 Sep 2014, 1:05pm-2:00pm

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!

Note for Attendees

Notice the special time! This is to accommodate participation in the TA Union Orientation meeting:
Date(for above event): Thursday, September 25
Time: 12:30-1:30
Location: Leonard S. Klinck Building (LSK) (6356 Agricultural Road) Room 200


Pizza and pop will be provided in our seminar.
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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, 3:30pm-4:30pm

Abstract


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UBC
Fri 26 Sep 2014, 3:00pm
Department Colloquium
Mathematics Annex 1100
The Dynamical Mordell-Lang problem
Mathematics Annex 1100
Fri 26 Sep 2014, 3:00pm-4:00pm

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 self-map 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 n-th 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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