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 Events
Brian Freidin
UBC
Tue 15 Oct 2019, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
Buchanan D307
Harmonic maps on simplicial complexes
Buchanan D307
Tue 15 Oct 2019, 3:30pm-4:30pm

Abstract

Harmonic maps have found various applications in Teichmuller theory. While Teichmuller space describes conformal (or hyperbolic) structures on a surface, harmonic maps provide a parametrization on Teichmuller space (via their Hopf differentials) as well as a distance function (the Teichmuller metric). Beginning with a 2-dimensional simplicial complex, we first describe several spaces of metrics. We then show the existence of harmonic maps between such spaces, in the hopes of adding the analytic tools of harmonic maps to the Teichmuller spaces of simplicial complexes. This is joint work with Victoria Gras Andreu.
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Peter Bradshaw
SFU
Tue 15 Oct 2019, 4:00pm
Discrete Math Seminar
ESB 4127
Graphs with high cop number
ESB 4127
Tue 15 Oct 2019, 4:00pm-5:00pm

Abstract

 We explore classes of graphs on which a large number of pursuers are required to capture an evader. We give a lower bound for the cop number of graphs of high girth that improves a result of P. Frankl. We also consider lower bounds for the cop number of various algebraically constructed graph classes. In particular, we present a class of directed graphs with cop number (1-o(1)) \sqrt{n}, which is greater than any lower bound currently known for any directed graph class.
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Sarah Hedtrich
UBC
Wed 16 Oct 2019, 2:45pm
Mathematical Biology Seminar
ESB 4133
Human-based organ models as tools for (patho-)physiological research in human epithelia
ESB 4133
Wed 16 Oct 2019, 2:45pm-3:45pm

Abstract

The Hedtrich lab is developing human-based organ models with a current focus on skin and lung. They are specifically interested in the modeling of inflammatory and genetic diseases in vitro and use the organ models to study (patho)physiological mechanism. In this talk, Dr. Hedtrich will give an overview of the different approaches in her lab has with emphasize on their work done in atopic diseases and the atopic march.
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UBC
Wed 16 Oct 2019, 2:45pm
Topology and related seminars
ESB 4127 (PIMS)
On symmetries of peculiar modules; or, \delta-graded link Floer homology is mutation invariant
ESB 4127 (PIMS)
Wed 16 Oct 2019, 2:45pm-3:45pm

Abstract

 Conway mutation is an operation on links that is notoriously
difficult to detect: it preserves many link invariants such as
the signature, the Alexander polynomial or, more generally, the
HOMFLY polynomial. Baldwin and Levine conjectured that δ-graded
link Floer homology also belongs in this list—despite the fact
that *bigraded* link Floer homology can distinguish some mutant
knots such as the famous Kinoshita-Terasaka and Conway knots.

In [arXiv:1909.04267], I proved Baldwin and Levine's conjecture
by studying symmetry properties of peculiar modules, an immersed
curve invariant of 4-ended tangles. In this talk, I will sketch
this proof.
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Cornell University
Wed 16 Oct 2019, 3:00pm
Probability Seminar
ESB 1012
Multiple players ruin problems and the Dirichlet heat kernel in compact inner-uniform domains
ESB 1012
Wed 16 Oct 2019, 3:00pm-4:00pm

Abstract

 

 We describe detailed two-sided inequalities for the  three-player ruin problem and related estimates for killed random walks in inner-uniform finite subset of grids and other graphs.  The key is the simultaneous use of the appropriate Doob transform, doubling and Poincaré inequalities. This talk is based on joint work with Persi Diaconis and Kelsey Houston-Edwards. 

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Cornell University
Fri 18 Oct 2019, 3:00pm
Department Colloquium
ESB 1012 (PIMS/UBC Distinguished Colloquium)
Doubling geometries on compact Lie groups
ESB 1012 (PIMS/UBC Distinguished Colloquium)
Fri 18 Oct 2019, 3:00pm-4:00pm

Abstract

 The "doubling property" refers to the property (of a metric measure space) that max{Vol(B(x,2r))/Vol(B(x,r)): r>0} is bounded.  We consider the following question:  do we have good control of the doubling property for left-invariant geometries on a given compact Lie group? For instance, on the group SU(2) (which, as a manifold, is the 3-sphere) what can we say of the doubling constant of a left-invariant geometry?   We will discuss the conjecture that, for any compact Lie group G, there is a constant D(G) such that max{Vol_g(2r)/Vol_g(r): r>0} is bounded by D(G) uniformly over all left-invariant metric g. This is true in the case of SU(2).  This talk is based on joint work with Nate Eldredge and Maria Gordina.

Note for Attendees

Refreshments will be served at 2:30 p.m. in ESB 4133 (Lounge).
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