Print Friendly printer friendly
 Events
University of Alberta
Thu 8 Dec 2016, 4:00pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
ESB Room 4127 (PIMS Videoconferencing Room )
Mulit-to one-dimensional optimal transport
ESB Room 4127 (PIMS Videoconferencing Room )
Thu 8 Dec 2016, 4:00pm-5:00pm

Abstract

I will discuss joint work with Pierre-Andre Chiappori and Robert McCann on the Monge-Kantorovich 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
hide
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 Sub-Quadratic Actions and Their Scaling Limits
Room 200, Graduate Student Centre
Mon 12 Dec 2016, 12:30pm-2:30pm

Details

My research concerns models of gradient type with sub-quadratic actions and their scaling limits. The model of gradient type is the density of a collection of real-valued random variables ϕ’s given by Z^{-1}e^({-ΣV(ϕ_j-ϕ_k)}). We focus our study on the case that V(t) = [1+t^2]^a with 0 < a < 1/2, which is a non-convex 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 log-concave 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 translation-invariant, 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.
hide
Sat 7 Jan 2017, 9:00am SPECIAL
MATH 126
Qualifying Exams - Analysis
MATH 126
Sat 7 Jan 2017, 9:00am-12:00pm

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.
hide
Sat 7 Jan 2017, 1:00pm SPECIAL
MATH 126
Qualifying Exams - Algebra
MATH 126
Sat 7 Jan 2017, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
hide
Sat 7 Jan 2017, 1:00pm SPECIAL
MATH 126
Qualifying Exams - Differential Equations
MATH 126
Sat 7 Jan 2017, 1:00pm-4:00pm

Details

For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
hide
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, 3:00pm-4:00pm

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 out-of-plane bending mode to the stiff in-plane 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.

Note for Attendees

Reception before the talk in ESB 4133 (PIMS lounge). This is the annual IAM alumni lecture. 
hide
Toronto
Mon 23 Jan 2017, 3:00pm SPECIAL
Institute of Applied Mathematics
ESB 2012
TBA
ESB 2012
Mon 23 Jan 2017, 3:00pm-4:00pm

Abstract

 

Note for Attendees

Reception preceding the talk in ESB 4133 (the PIMS lounge). This is part of the IAM/PIMS distinguished colloquium series. 
hide
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, 3:00pm-4:00pm

Abstract

 

Note for Attendees

Reception preceding the talk in ESB 4133 (PIMS lounge). This is part of the IAM/PIMS distinguished colloquium series. 
hide
I-Kun Chen
Kyoto University
Tue 7 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 7 Feb 2017, 3:30pm-4:30am

Abstract


hide
University of California, San Diego
Fri 3 Mar 2017, 3:00pm SPECIAL
Department Colloquium
ESB2012
PIMS-UBC Distinguished Colloquium--TBA
ESB2012
Fri 3 Mar 2017, 3:00pm-4:00pm

Abstract

 

Note for Attendees

Refreshments (A light reception) are served in ESB 4133 from 2:30pm-3:00pm before the colloquium.
hide
University of Grenoble
Fri 10 Mar 2017, 3:00pm SPECIAL
Department Colloquium
ESB 2012
PIMS-UBC Distinguished Colloquium-TBA
ESB 2012
Fri 10 Mar 2017, 3:00pm-4:00pm

Abstract

PIMS-UBC Distinguished Colloquium TBA

Note for Attendees

Refreshments (A light reception) are served in ESB 4133 from 2:30pm-3:00pm before the colloquium.
hide
University of Grenoble
Mon 13 Mar 2017, 3:00pm
Algebraic Geometry Seminar
MATH 126
TBA
MATH 126
Mon 13 Mar 2017, 3:00pm-4:00pm
hide
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, 3:00pm-4:00pm

Abstract

 

Note for Attendees

A reception recedes the talk in ESB 4133 (the PIMS lounge). This is part of the IAM/PIMS distinguished colloquium series. 
hide
UBC Math
Fri 17 Mar 2017, 3:00pm
Department Colloquium
Graduate Research Award - TBA
Fri 17 Mar 2017, 3:00pm-4:00pm

Abstract


hide
Caltech
Wed 22 Mar 2017, 3:00pm SPECIAL
Department Colloquium
ESB 2012
Public Lecture - TBA
ESB 2012
Wed 22 Mar 2017, 3:00pm-4:00pm

Abstract


hide
Caltech
Thu 23 Mar 2017, 3:30pm SPECIAL
Department Colloquium
ESB 2012
PIMS-UBC Distinguished Colloquium - TBA
ESB 2012
Thu 23 Mar 2017, 3:30pm-4:30pm

Abstract


hide
John Ma
UBC Math
Fri 24 Mar 2017, 3:00pm
Department Colloquium
Graduate Research Award - TBA
Fri 24 Mar 2017, 3:00pm-4:00pm

Abstract


hide
Alejandra Herrera
UBC Math
Fri 31 Mar 2017, 3:00pm
Department Colloquium
Graduate Research Award - TBA
Fri 31 Mar 2017, 3:00pm-4:00pm

Abstract


hide
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, 3:00pm-4:00pm

Abstract

 

Note for Attendees

Reception precedes the talk in ESB 4133 (the PIMS lounge). This is in the IAM/PIMS distinguished colloquium series. 
hide
Umberto Zannier
SNS, Pisa
Fri 2 Mar 2018, 3:00pm SPECIAL
Department Colloquium
ESB2012
PIMS-UBC Distinguished Colloquium--TBA
ESB2012
Fri 2 Mar 2018, 3:00pm-4:00pm

Abstract

 
hide
 
Top