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October 2021
Atlantic Graph Theory Seminar: Guss Regts (University of Amsterdam)
Improved bounds for zeros of the chromatic polynomial on bounded degree graphs About 20 years ago Sokal proved that there exists a constant C so that for any graph G, all of the complex zeros of its chromatic polynomial are contained in the disk of radius C Delta(G) centered at 0. (Here Delta(G) denotes the maximum degree of G.) He showed that C could be taken slightly smaller than 8. This was improved to 6.91 by Fernández and Procacci. In this…
Find out more »Dalhousie-AARMS AAMP Seminar: Perry Kleinhenz (Michigan State University)
Title: Stabilization rates for the damped wave equation with polynomial and oscillatory damping Abstract: In this talk I will discuss energy decay of solutions of the Damped wave equation. After giving an overview of classical results I'll focus on the torus with damping that does not satisfy the geometric control condition. In this setup properties of the damping at the boundary of its support determine the decay rate, however a general sharp rate is not known. I will discuss damping…
Find out more »November 2021
Atlantic Graph Theory Seminar: Jo Ellis-Monaghan (University of Amsterdam)
2017 saw the centennial of William Tutte, one of the greatest mathematicians of modern times. One of the testimonies to Tutte’s genius is that nearly everything he did proved to be a catalyst, triggering an explosion of further investigations and opening whole new vistas of mathematics. The Tutte polynomial is one of many such examples in his legacy. Here we will explore some of its salient properties and some of the many directions that propagated outward from the original Tutte…
Find out more »Dalhousie-AARMS AAMP Seminar: Nina Holden (ETH Zürich and the Courant Institute)
Conformal invariance of percolation on random planar maps Conformal invariance of critical percolation on the triangular lattice was proved by Smirnov. His proof is hard to extend to critical percolation on other lattices since his proof relies on a combinatorial identity which is only true on the triangular lattice. On random lattices known as random planar maps, however, it turns out that conformal invariance can be established. This was done in joint work with Sun, building on our earlier works…
Find out more »AARMS Scientific Machine Learning Seminar: Hamid Usefi (MUN)
Multicollinearity, singular vectors, and dimensionality reduction for high-dimensional datasets Single nucleotide polymorphisms (SNPs) as building blocks of our DNA, can determine the variations between people. It is believed that SNPs in genes that regulate DNA mismatch repair, cell cycle regulation, metabolism and immunity are associated with genetic susceptibility to cancer. So, SNPs are potential diagnostic and therapeutic biomarkers in many cancer types. This in part has prompted the rapid advancements in DNA sequencing which makes it possible both in terms…
Find out more »Atlantic Graph Theory Seminar: Pavol Hell (SFU)
I will discuss a few examples where considering loops leads to interesting insights, often allowing unifying existing results. These examples will include cops and robbers games, graph homomorphisms, variants of interval and chordal graphs, and versions of domination. Join Zoom Meeting: link
Find out more »University of New Brunswick Data Challenge
The Data Challenge will bring together three competitive events, the Open Data Visualization (6th annual), Data Analytics (2nd Edition), and Data Sprint (2nd Edition) on November 19, 2021 in a hybrid format - virtually & in-person! Take up the challenge and demonstrate the power of data, with the flexibility to take part remotely. Our previous edition saw 85 data-driven enthusiasts compete from across Canada in 30 teams. The event also saw 35 business experts, mentors, speakers & partners from diverse industries.…
Find out more »Dalhousie-AARMS AAMP Seminar: Amanda Young (Technical University of Munich)
Title: A bulk gap in the presence of edge states for a HaldanepseudopotentialAbstract: In this talk, we discuss a recent result on a bulk gap for atruncated Haldane pseudopotential with maximal half filling, whichdescribes a strongly correlated system of spinless bosons in a cylindergeometry. For this Hamiltonian with either open or periodic boundaryconditions, we prove a spectral gap above the highly degenerateground-state space which is uniform in the volume and particle number.Our proofs rely on identifying invariant subspaces to which…
Find out more »AARMS Scientific Machine Learning Seminar: Ben Adcock (Simon Fraser University)
Title: Tackling the curse: polynomial and deep neural network methods for function approximation in high dimensions Abstract: Many problems in computational science and engineering require the accurate approximation of a target function from data. This problem is rendered challenging by the high-dimensionality of the function, the expense of generating function samples, the presence of noise in the measurements, and the fact that the target function may take values in a function space. Developing techniques that tackle these challenges without succumbing…
Find out more »December 2021
Atlantic Graph Theory Seminar: James Preen (Cape Breton University)
There are many results about triangles in graphs, but the property that every edge in a graph is in at least one triangle seems not to have been studied before. The 4-regular case was quickly solved collaboratively following an internet posting and then written about by one author in their blog, before being published in the Journal of Graph Theory in 2013. However, the result that was originally wanted was a characterisation for 5-regular graphs, and that did not emerge…
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