Stanford University

Tue 2 Jan 2018, 12:30pm
SPECIAL
Department Colloquium
MATH 102 (special time, sushi will be served)

Stability in the homology of configuration spaces

MATH 102 (special time, sushi will be served)
Tue 2 Jan 2018, 12:30pm1:30pm
Abstract
This talk will illustrate some patterns in the homology of the configuration space F_k(M), the space of ordered ktuples of distinct points in a manifold M. For a fixed manifold M, as k increases, we might expect the topology of these configuration spaces to become increasingly complicated. Church and others showed, however, that when M is connected and open, there is a representationtheoretic sense in which the homology groups of these spaces stabilize. In this talk I will explain these stability patterns, and describe higherorder stability phenomena  relationships between unstable homology classes in different degrees  established in recent work joint with Jeremy Miller. This project was inspired by workinprogress of GalatiusKupersRandalWilliams.
Note special time. Sushi will be served.
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University of Adelaide

Wed 3 Jan 2018, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)

TBA (provisional time slot)

ESB 4133 (PIMS Lounge)
Wed 3 Jan 2018, 3:15pm4:15pm
Abstract
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University of Lethbridge

Thu 4 Jan 2018, 3:30pm
Number Theory Seminar
TBA

TBA

TBA
Thu 4 Jan 2018, 3:30pm10:00am
Abstract
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University of Toronto

Thu 4 Jan 2018, 3:30pm
SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
TBA

Free Discontinuities in Optimal Transport

TBA
Thu 4 Jan 2018, 3:30pm5:00pm
Abstract
Optimal maps in $R^n$ to disconnected targets necessarily contain discontinuities (i.e.~tears). But how smooth are these tears? When the target components are suitably separated by hyperplanes, nonsmooth versions of the implicit function theorem can be developed which show the tears are hypersurfaces given as differences of convex functions  DC for short. If in addition the targets are convex the tears are actually $C^{1,\alpha}$. Similarly, under suitable affine independence assumptions, singularities of multiplicity $k$ lie on DC rectifiable submanifolds of dimension $n+1k$. These are stable with respect to $W_\infty$ perturbations of the target measure. Moreover, there is at most one singularity of multiplicity $n$. This represents joint work with Jun Kitagawa.
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Sat 6 Jan 2018, 9:00am
SPECIAL
MATH 126

Qualifying Exams  Analysis

MATH 126
Sat 6 Jan 2018, 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 for students writing the Analysis exam.
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Sat 6 Jan 2018, 1:00pm
SPECIAL
MATH 126

Qualifying Exams  Algebra

MATH 126
Sat 6 Jan 2018, 1:00pm4:00pm
Details
For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Sat 6 Jan 2018, 1:00pm
SPECIAL
MATH 126

Qualifying Exams  Differential Equations

MATH 126
Sat 6 Jan 2018, 1:00pm4:00pm
Details
For more info, please visit http://www.math.ubc.ca/Grad/QualifyingExams/index.shtml
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Mon 8 Jan 2018, 3:00pm
Department Colloquium

TBA

Mon 8 Jan 2018, 3:00pm4:00pm
Abstract
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UCDavies

Tue 9 Jan 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

Variational Problems on Arbitrary Sets

ESB 2012
Tue 9 Jan 2018, 3:30pm4:30pm
Abstract
: Let E be an arbitrary subset of R^n. Given real valued functions f defined on E and g defined on R^n, the classical obstacle problem asks for a minimizer of the Dirichlet energy subject to the following two constraints: (1) F = f on E and (2) F lies above g on R^n. In this talk, we will discuss how to use extension theory to construct (almost) solutions directly. We will also explain several recent results that will help lay the foundation for building a complete theory revolving around the belief that any variational problems that can be solved using PDE theory can also be dealt with using extension theory.
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Cornell Physics and Mechanical & Aerospace Engineering

Mon 15 Jan 2018, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

From Newton's Law to Neurons

ESB 2012
Mon 15 Jan 2018, 3:00pm4:00pm
Abstract
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Mon 15 Jan 2018, 3:00pm
Department Colloquium

TBA

Mon 15 Jan 2018, 3:00pm4:00pm
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UBC & PIMS

Tue 16 Jan 2018, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar


Tue 16 Jan 2018, 3:30pm4:30pm
Abstract
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Fri 19 Jan 2018, 3:00pm
Department Colloquium
ESB 2012

TBA

ESB 2012
Fri 19 Jan 2018, 3:00pm4:00pm
Abstract
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Cornell Statistical Science and Biological Statistics & Computational Biology

Mon 22 Jan 2018, 3:00pm
SPECIAL
Institute of Applied Mathematics
ESB 2012

An ODE to Statistics: Inference about Nonlinear Dynamics

ESB 2012
Mon 22 Jan 2018, 3:00pm4:00pm
Abstract
Ordinary differential equation models are used extensively within mathematics as descriptions of processes in the real world. However, they are rarely employed by statisticians and there is a paucity of methods for combining differential equation models with data. This talk provides a survey of recently developed statistical methods for estimating parameters from data, conducting model criticism and improvement for differential equation models in the light of data, and designing experiments that yield optimal estimates of parameters. It ends with some perspectives on the current state of the field and open problems.
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Harvard

Thu 25 Jan 2018, 4:00pm
SPECIAL
TBA

TBA

TBA
Thu 25 Jan 2018, 4:00pm5:00pm
Details
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Fri 26 Jan 2018, 3:00pm
Department Colloquium
ESB 2012

TBA

ESB 2012
Fri 26 Jan 2018, 3:00pm4:00pm
Abstract
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Note for Attendees
There will be a reception before the talk in ESB 4133 (the PIMS lounge). This is a talk in the IAM/PIMS distinguished series.