University of Alberta

Thu 8 Dec 2016, 4:00pm
SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
ESB Room 4127 (PIMS Videoconferencing Room )

Mulitto onedimensional optimal transport

ESB Room 4127 (PIMS Videoconferencing Room )
Thu 8 Dec 2016, 4:00pm5:00pm
Abstract
I will discuss joint work with PierreAndre Chiappori and Robert McCann on the MongeKantorovich problem of transporting a probability measure on \mathbb{R}^n to another on the real line. We introduce a nestededness criterion relating the cost to the marginals, under which it is possible to solve this problem uniquely (and essentially explicitly), by constructing an optimal map one level set at a time. I plan to discuss examples for which the nestedness condition holds, as well as some for which it fails; some of these examples arise from a matching problem in economics which originally motivated our work. If time permits, I will also briefly discuss how level set dynamics can be used to develop a local regularity theory in the nested case
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Ph.D. Candidate: Zichun Ye
Mathematics, UBC

Mon 12 Dec 2016, 12:30pm
SPECIAL
Room 200, Graduate Student Centre

Doctoral Exam: Models of Gradient Type with SubQuadratic Actions and Their Scaling Limits

Room 200, Graduate Student Centre
Mon 12 Dec 2016, 12:30pm2:30pm
Details
My research concerns models of gradient type with subquadratic actions and their scaling limits. The model of gradient type is the density of a collection of realvalued random variables ϕ’s given by Z^{1}e^({ΣV(ϕ_jϕ_k)}). We focus our study on the case that V(t) = [1+t^2]^a with 0 < a < 1/2, which is a nonconvex potential.
The first result concerns the thermodynamic limits of the model of gradient type. We introduce an auxiliary field t for each edge and represent the model as the marginal of a model with logconcave density. Based on this method, we prove that finite moments of the fields are bounded uniformly in the volume for the finite volume measure. This bound leads to the existence of infinite volume measures.
The second result is the random walk representation and the scaling limit of the translationinvariant, ergodic gradient infinite volume Gibbs measure. We represent every infinite volume Gibbs measure as a mixture over Gaussian gradient measures with a random coupling constant ω for each edge. With such representation, we give estimations on the decay of the two point correlation function. Then by the quenched functional central limit theorem in random conductance model, we prove that every ergodic, infinite volume Gibbs measure with mean zero for the potential V above scales to a Gaussian free field.
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Sat 7 Jan 2017, 9:00am
SPECIAL
MATH 126

Qualifying Exams  Analysis

MATH 126
Sat 7 Jan 2017, 9:00am12:00pm
Details
For more information on Qualifying Exams, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
Lunch will be provided in MATX 1101 for students writing the Analysis exam.
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Sat 7 Jan 2017, 1:00pm
SPECIAL
MATH 126

Qualifying Exams  Algebra

MATH 126
Sat 7 Jan 2017, 1:00pm4:00pm
Details
For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Sat 7 Jan 2017, 1:00pm
SPECIAL
MATH 126

Qualifying Exams  Differential Equations

MATH 126
Sat 7 Jan 2017, 1:00pm4:00pm
Details
For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Brown

Mon 16 Jan 2017, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

Functional interpretation for transverse arches of human foot

ESB 2012
Mon 16 Jan 2017, 3:00pm4:00pm
Abstract
Fossil record indicates that the emergence of arches in human ancestral feet coincided with a transition from an arboreal to a terrestrial lifestyle. Propulsive forces exerted during walking and running load the foot under bending, which is distinct from those experienced during arboreal locomotion. I will present mathematical models with varying levels of detail to illustrate a simple function of the transverse arch. Just as we curve a dollar bill in the transverse direction to stiffen it while inserting it in a vending machine, the transverse arch of the human foot stiffens it for bending deformations. A fundamental interplay of geometry and mechanics underlies this stiffening  curvature couples the soft outofplane bending mode to the stiff inplane stretching deformation. In addition to presenting a functional interpretation of the transverse arch of the foot, this study also identifies a classification of flat feet based on the skeletal geometry and mechanics.
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Toronto

Mon 23 Jan 2017, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

TBA

ESB 2012
Mon 23 Jan 2017, 3:00pm4:00pm
Abstract
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Technion

Mon 6 Feb 2017, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

Operator Representations for Geometry Processing

ESB 2012
Mon 6 Feb 2017, 3:00pm4:00pm
Abstract
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Kyoto University

Tue 7 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

TBA

ESB 2012
Tue 7 Feb 2017, 3:30pm4:30am
Abstract
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University of California, San Diego

Fri 3 Mar 2017, 3:00pm
SPECIAL
Department Colloquium
ESB2012

PIMSUBC Distinguished ColloquiumTBA

ESB2012
Fri 3 Mar 2017, 3:00pm4:00pm
Abstract
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University of Grenoble

Fri 10 Mar 2017, 3:00pm
SPECIAL
Department Colloquium
ESB 2012

PIMSUBC Distinguished ColloquiumTBA

ESB 2012
Fri 10 Mar 2017, 3:00pm4:00pm
Abstract
PIMSUBC Distinguished Colloquium TBA
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University of Grenoble

Mon 13 Mar 2017, 3:00pm
Algebraic Geometry Seminar
MATH 126

TBA

MATH 126
Mon 13 Mar 2017, 3:00pm4:00pm
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MIT

Mon 13 Mar 2017, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

Multifidelity and Surrogate Modeling for 'Data to Decisions' in Engineering Systems

ESB 2012
Mon 13 Mar 2017, 3:00pm4:00pm
Abstract
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UBC Math

Fri 17 Mar 2017, 3:00pm
Department Colloquium

Graduate Research Award  TBA

Fri 17 Mar 2017, 3:00pm4:00pm
Abstract
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Caltech

Wed 22 Mar 2017, 3:00pm
SPECIAL
Department Colloquium
ESB 2012

Public Lecture  TBA

ESB 2012
Wed 22 Mar 2017, 3:00pm4:00pm
Abstract
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Caltech

Thu 23 Mar 2017, 3:30pm
SPECIAL
Department Colloquium
ESB 2012

PIMSUBC Distinguished Colloquium  TBA

ESB 2012
Thu 23 Mar 2017, 3:30pm4:30pm
Abstract
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UBC Math

Fri 24 Mar 2017, 3:00pm
Department Colloquium

Graduate Research Award  TBA

Fri 24 Mar 2017, 3:00pm4:00pm
Abstract
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UBC Math

Fri 31 Mar 2017, 3:00pm
Department Colloquium

Graduate Research Award  TBA

Fri 31 Mar 2017, 3:00pm4:00pm
Abstract
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Utah

Mon 3 Apr 2017, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

Extending the Theory of Composites to Other Areas of Science

ESB 2012
Mon 3 Apr 2017, 3:00pm4:00pm
Abstract
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SNS, Pisa

Fri 2 Mar 2018, 3:00pm
SPECIAL
Department Colloquium
ESB2012

PIMSUBC Distinguished ColloquiumTBA

ESB2012
Fri 2 Mar 2018, 3:00pm4:00pm
Abstract
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Note for Attendees
Reception before the talk in ESB 4133 (PIMS lounge). This is the annual IAM alumni lecture.