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 Events
Toronto
Mon 23 Jan 2017, 3:00pm SPECIAL
Institute of Applied Mathematics
ESB 2012
Matrix regulation of stem cell fate
ESB 2012
Mon 23 Jan 2017, 3:00pm-4:00pm

Abstract

Stem cell fate is regulated by cues from the cellular microenvironment, including biophysical and biochemical cues presented by the extracellular matrix. Matrix regulation of cell fate has broad implications from disease to regeneration. In this talk, I will discuss our work aimed at determining how biophysical and biochemical cues from the matrix act to drive the fate and function of mesenchymal stem cells. In particular, I will discuss how the pathological differentiation of heart valve progenitor cells is modulated by the extracellular matrix and how we are using microdevices to dissect how matrix mechanical and biochemical cues act in concert to regulate mesenchymal stem cell differentiation and tissue regeneration.

Note for Attendees

Reception preceding the talk in ESB 4133 (the PIMS lounge). This is part of the IAM/PIMS distinguished colloquium series. 
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Rennes / PIMS
Mon 23 Jan 2017, 3:00pm
Algebraic Geometry Seminar
MATX 1102
On Grothendieck rings in real geometry
MATX 1102
Mon 23 Jan 2017, 3:00pm-4:00pm

Abstract

The study of Grothendieck rings of varieties in the context of real algebraic geometry has begun since the apparition of motivic integration. Several such rings are of interest, depending notably on the class of functions we are interested in. We will discuss recent progress in the cases of real algebraic varieties and of arc-symmetric sets.

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Max Planck Institute Bonn
Tue 24 Jan 2017, 3:00pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 126
Chiral differential operators and the curved beta-gamma system
MATH 126
Tue 24 Jan 2017, 3:00pm-4:00pm

Abstract

Chiral differential operators (CDOs) are a vertex algebra analog of the associative algebra of differential operators. Originally introduced by mathematicians, Witten explained how CDOs arise as the perturbative part of the curved beta-gamma system with target X. I will describe recent work with Gorbounov and Williams in which we construct the BV quantization of this theory and use a combination of factorization algebras and formal geometry to recover CDOs. At the end, I hope to discuss how the techniques we developed apply to a broad class of nonlinear sigma models, including source manifolds of higher dimension.
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Center for Geometry and Physics/ Pohang Univ. of Sci. and Tech. Korea.
Tue 24 Jan 2017, 4:00pm SPECIAL
MATH 1102 Topology/Algebra/Math Physics seminar
A quantization of the unipotent fundamental group
MATH 1102 Topology/Algebra/Math Physics seminar
Tue 24 Jan 2017, 4:00pm-5:00pm

Details

We construct two homotopy functors from the category of homotopy commutative algebras to the category of pro-unipotent group and the category of completed commutative Hopf algebras such that

(1) the group is isomorphic to the pro unipotent fundamental group of smooth connected and based manifold (M,*) and
(2) the Hopf algebra is that of homotopy functionals defined by Chen’s iterated path integrals  over closed and based loops on M

if the homotopy commutative algebra is quasi-isomorphic to the algebra of differential forms on M.

These constructions can be quantized in appropriate sense after interpreting them as doing “classical field theory” such that the pro unipotent fundamental group is the structure in the space of all "classical expectations" and the completed Hopf algebra is the algebra of  “classical observables”.  The quantization involves a generalized deformation quantization of homotopy commutative algebra into topologically free homotopy associative algebra along the direction of compatible homotopy Lie algebra.
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UBC
Wed 25 Jan 2017, 1:45pm
Mathematical Biology Seminar
PIMS, ESB 4th floor
Multi-scale modeling of vesicular release at neuronal synapses.
PIMS, ESB 4th floor
Wed 25 Jan 2017, 1:45pm-2:45pm

Abstract

Binding of molecules, ions or proteins to small target sites is a generic step of cell activation. This process relies on rare stochastic events where a particle located in a large bulk has to find small and often hidden targets. I will present in this talk a hybrid discrete-continuum model that takes into account both a stochastic regime governed by rare events and a continuous regime in the bulk, in the context of vesicular release at chemical synapses.

In a first part, I computed the mean time for a Brownian particle to arrive at a narrow opening defined as the small cylinder joining two tangent spheres. This models the binding of calcium ions on the SNARE complex, a process that triggers vesicular release. Using this result, I developed a model to study how vesicles and calcium channels organization shape such process.
In a second part, I will present a model for the pre-synaptic terminal built using the results described above. This model was formulated in an initial stage as a reaction-diffusion problem in a confined microdomain, where Brownian particles have to bind to small target sites. I coarse-grained this model into a system of mass action equations coupled to a set of Markov equations, which allows to obtain analytical results and to realize fast stochastic simulations.
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Max Planck Institute Bonn
Wed 25 Jan 2017, 3:00pm SPECIAL
Department Colloquium
ESB 2012 (note special day)
From Feynman diagrams to commutative diagrams
ESB 2012 (note special day)
Wed 25 Jan 2017, 3:00pm-4:00pm

Abstract

Factorization algebras are local-to-global objects that play a role in quantum field theory akin to the role of sheaves in geometry: they conveniently organize complicated information. In the talk I will introduce this notion, give some concrete examples, and then explain how factorization algebras mediate between QFT and higher algebra. An important example will be Chern-Simons theory; ongoing work with Costello and Francis recovers quantum groups with formal parameter by combining Koszul duality with Feynman diagrams.

Note for Attendees

Tea and cookies will be served in the PIMS Lounge ESB 4133 at 2:45 p.m. before this special colloquium.
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University of Chicago
Wed 25 Jan 2017, 4:15pm SPECIAL
Topology and related seminars
ESB 4133 (PIMS Lounge)
Quantitative Nullcobordism and the (in)effectiveness of algebraic topology.
ESB 4133 (PIMS Lounge)
Wed 25 Jan 2017, 4:15pm-5:15pm

Abstract

Topology is full of ineffective arguments constructing objects and equivalences by algebra.

One of the great early achievements of algebraic topology was the work of Thom, followed by Milnor and Wall, on cobordism theory, which describes when a compact smooth (oriented) manifold is the boundary of some compact manifold with boundary. This method is typical of the problems that arise in the use of algebraic methods and is an early example of one of the dominant philosophies of geometric topology. The question we study is to what extent the complexity of a manifold can be used to bound, when it exists, the minimum necessary complexity of something that it bounds.

The goal of this talk is to explain generally some of the issues of making topology less ineffective.

We shall show that there are polynomial size nullcobordisms in a suitable sense. This is joint work with Greg Chambers, Dominic Dotterer and Fedor Manin.
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Harold Williams
University of Texas at Austin
Thu 26 Jan 2017, 3:00pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
TBD
TBA
TBD
Thu 26 Jan 2017, 3:00pm-4:00pm

Abstract


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Harold Williams
University of Texas at Austin
Fri 27 Jan 2017, 3:00pm
Department Colloquium
ESB 2012
TBA
ESB 2012
Fri 27 Jan 2017, 3:00pm-4:00pm

Abstract


Note for Attendees

Refreshments will be served at 2:45 p.m. before this special colloquium.
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Martin Fraas
Institute for Theoretical Physics, KU Leuven
Mon 30 Jan 2017, 3:00pm
Department Colloquium
ESB 2012
Adiabatic Theory: From Spinning Top to Gapped Matter
ESB 2012
Mon 30 Jan 2017, 3:00pm-4:00pm

Abstract

Adiabatic theory studies dynamical systems featuring separation of motion into slow and fast components. When the system is driven these components start mixing. The basic premise of adiabatic theory is that this mixing is small for slow driving. Furthermore, the resulting driven motion is irreversible in the slow component but reversible in the fast component. In this talk, I first illustrate this phenomena on a spinning top and state the classical adiabatic theorem of quantum mechanics. Then, I will show extensions of the theory to abstract Banach spaces and stochastic equations, culminating with an adiabatic theorem for extended systems where the separation holds uniformly in the volume of the system. An important corollary of this theorem is a proof of the Kubo formula for gapped interacting systems.
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Martin Fraas
Institute for Theoretical Physics, KU Leuven
Tue 31 Jan 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
On Products of Correlated Matrices Originating in the Statistical Structure of Quantum Mechanics
ESB 2012
Tue 31 Jan 2017, 3:30pm-4:30pm

Abstract

Statistics of measurement outcomes in quantum mechanics is described by a map that associates a matrix to each possible measurement outcome. The probability of this outcome is then given by a trace of this matrix. Probability of a sequence of measurement outcomes is computed in the same way from a product of associated matrices. In this talk I will describe two results related to this setting. A theorem giving optimal conditions for uniqueness of the associated invariant measure on the projective sphere, and a theorem describing large deviation theory in the case when the matrices commute. The latter problem received lots of recent attention following experiments of S.~Haroche.
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University of Oregon
Wed 1 Feb 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
TBA
ESB 4133 (PIMS Lounge)
Wed 1 Feb 2017, 3:15pm-4:15pm

Abstract


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University of Munich
Thu 2 Feb 2017, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
MATH 102 (note special day/room)
The adiabatic theorem for quantum spin systems
MATH 102 (note special day/room)
Thu 2 Feb 2017, 3:30pm-4:30pm

Abstract

I will present an adiabatic theorem for the driven dynamics of ground state projections of a smooth family of many-body gapped quantum systems. The diabatic error is uniformly bounded in the volume of the interacting system. As an corollary, Kubo’s formula of linear response theory can be obtained in the thermodynamic limit.
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University of Munich
Fri 3 Feb 2017, 3:00pm
Department Colloquium
ESB 2012
What are ground state phases of matter?
ESB 2012
Fri 3 Feb 2017, 3:00pm-4:00pm

Abstract

While thermal phases of matter (liquid water vs solid ice) are mathematically well understood, the theoretical understanding of ground state phases (at zero temperature) is incomplete. The discoveries of last year’s physics Nobel laureates provide a framework valid for noninteracting systems with topological properties, and I shall discuss current efforts to extend some of it to phases of strongly interacting matter.
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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, 3:00pm-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. 
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Foster Tom
Wed 8 Feb 2017, 4:00pm
Discrete Math Seminar
ESB 4127
TBA
ESB 4127
Wed 8 Feb 2017, 4:00pm-5:00pm

Abstract

 
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I-Kun Chen
Kyoto University
Tue 14 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 14 Feb 2017, 3:30pm-4:30am

Abstract


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Kyoto University
Wed 15 Feb 2017, 3:00pm
Probability Seminar
ESB 2012
TBA
ESB 2012
Wed 15 Feb 2017, 3:00pm-4:00pm

Abstract

 TBA
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North Carolina State University
Wed 15 Feb 2017, 3:15pm
Topology and related seminars
ESB 4133 (PIMS Lounge)
Representation stability in configuration spaces via Whitney homology of the partition lattice
ESB 4133 (PIMS Lounge)
Wed 15 Feb 2017, 3:15pm-4:15pm

Abstract

In recent years, important families of symmetric group representations have come to be better understood through the perspective of representation stability, a viewpoint introduced and developed by Thomas Church, Jordan Ellenberg, and Benson Farb, among others. A fundamental example of representation stability is the $S_n$-module structure for the $i$-th cohomology of the configuration space of $n$ distinct, labeled points in the plane, or more generally in a connected, orientable manifold, as $i$ is held fixed and $n$ grows.  For the plane, this translates to Whitney homology of the partition lattice via an $S_n$-equivariant version of the Goresky-MacPherson formula. This talk will survey the combinatorial literature regarding the partition lattice and discuss what new things this can tell us about representation stability for configuration spaces.  In particular, we deduce new, sharp stability bounds and representation theoretic structure through a combination of symmetric function technology and poset topology.  This is a joint work with Vic Reiner.
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Technion
Thu 16 Feb 2017, 3:30pm
Number Theory Seminar
ESB 4127
TBA
ESB 4127
Thu 16 Feb 2017, 3:30pm-5:15am

Abstract


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U.C. Santa Barbara
Tue 21 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012
TBA
ESB 2012
Tue 21 Feb 2017, 3:30pm-4:30pm

Abstract

 
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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 will be served in ESB 4133 from 2:45pm-3:00pm.
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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 will be served in ESB 4133 from 2:45pm-3:00pm.
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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, 3:00pm-4:00pm
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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, 3:00pm-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. 
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UBC Math
Fri 17 Mar 2017, 3:00pm
Department Colloquium
Graduate Research Award - TBA
Fri 17 Mar 2017, 3:00pm-4:00pm

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, 3:00pm-4:00pm

Abstract


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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


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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


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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


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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, 3:00pm-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. 
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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

 

Note for Attendees

Refreshments will be served in ESB 4133 from 2:45 p.m.-3:00 p.m.
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