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January 2023

Atlantic Graph Theory Seminar: Jane (Pu) Gao, University of Waterloo

January 18, 2023 @ 3:30 pm - 4:30 pm
Online via Zoom

Conditions for perfect matchings in random sparse bipartite graphs Given a uniformly random sparse matrix A, with specified number of nonzero entries in columns and rows, we determine when A has full row rank over a finite field. As a corollary, by considering A as the adjacency matrix of a bipartite graph, our result determines the conditions for the existence of a perfect matching in various models of random sparse bipartite graphs. We will explore some useful insight from statistical…

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Dalhousie-AARMS AAMP Seminar: Chamsol Park (Johns Hopkins University)

January 20, 2023 @ 4:00 pm - 5:00 pm
Dalhousie University Halifax, Nova Scotia Canada

Title: Eigenfunction restriction estimates on curves with nonvanishing geodesic curvatures Abstract: Studying eigenfunctions of the Laplace-Beltrami operator on compact Riemannian manifolds (without boundary) is one of the interesting topics in Harmonic Analysis. One way to study them is to consider the L^p estimates of the eigenfunctions restricted to submanifolds. In this talk, we briefly summarize previous results and would like to talk about the logarithmic improved analogue for the restriction to curves with nonvanishing geodesic curvatures, in the presence of nonpositive…

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Dalhousie-AARMS AAMP Seminar: Alex Barnett (Flatiron Institute, NYC)

January 27, 2023 @ 4:00 pm - 5:00 pm
Dalhousie University Halifax, Nova Scotia Canada

Title: Equispaced Fourier representations for efficient Gaussian process regression from a billion data pointsAbstract: Gaussian process regression is widely used in geostatistics, time-series analysis, and machine learning. It infers an unknown continuous function in a principled fashion from noisy measurements at $N$ scattered data points.  The prior on the function is Gaussian, with covariance given by some user-chosen translationally invariantkernel.  Yet $N$ has been limited to about $10^6$, even with modern low-rank methods.  Focusing on low spatial dimension (1--3), we present…

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February 2023

Atlantic Graph Theory Seminar: Jason Brown, Dalhousie University

February 8, 2023 @ 3:30 pm - 4:30 pm
Online via Zoom

Colourings, Polynomials and Roots A lot has happened since graph colourings first arose as an applied problem in cartography – do four colours always suffice to distinguish countries when colouring a map? Along the way to the proof, the related enumeration function to count the number of k-colourings was proposed. While the latter didn’t help much in the quest for the Four Colour Theorem, it did lead to a fascinating branch of graph theory, namely chromatic polynomials. While polynomials are…

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Dalhousie-AARMS AAMP Seminar: Victor Ivrii (U. Toronto)

February 10, 2023 @ 4:00 pm - 5:00 pm
Dalhousie University Halifax, Nova Scotia Canada

Title + Abstract: TBD The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 - 5 pm Atlantic Time over either Zoom and/or in Chase 227 depending on the speaker.  If you would like to attend, please email the organizers for connection details.

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Atlantic Graph Theory Seminar: Jérémie Turcotte, Université de Montréal

February 15, 2023 @ 3:30 pm - 4:30 pm
Online via Zoom

Progress towards the Burning Number Conjecture The burning number b(G) of a graph G is the smallest integer k such that G can be covered by k balls of radii respectively 0,...,k-1, and was introduced independently by Brandenburg and Scott at Intel as a transmission problem on processors and Bonato, Janssen and Roshanbin as a model for the spread of information in social networks. The Burning Number Conjecture claims that b(G)<=\lceil\sqrt{n}\rceil, where n is the number of vertices of G. This bound is tight for paths. The previous best bound for this problem, by Bastide…

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Minicourse: Group Graded Azumaya Algebras and Generic Constructions

February 17, 2023 @ 11:00 am - February 22, 2023 @ 12:00 pm
Memorial University (St. John’s Campus) St. John's, Newfoundland and Labrador Canada + Google Map

Taught by Professor Eli Aljadeff, Technion University, Israel The main theme of this mini-course is gradings by finite groups on finite-dimensional algebras. Similar to the classical situation of ungraded algebras, we will be interested in finite-dimensional graded simple algebras and finite-dimensional graded division algebras. An important role is played by a generalization of central simple algebras, called Azumaya algebras. Our main tool will be polynomial identities and, in particular, graded polynomial identities. This tool will allow us to construct generic graded…

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March 2023

Atlantic Graph Theory Seminar: Isaac McMullin and Ian George, Dalhousie University

March 1, 2023 @ 3:30 pm - 4:30 pm
Online via Zoom

Speaker 1: Isaac McMullin Existence of Optimal Split Reliability Polynomials One of the most common models of robustness of a graph against random failures has all vertices operational, but the edges independently operational with probability p. On one hand, one can ask for the probability that all vertices can communicate (all-terminal reliability) while on the other hand, we can ask that two specific vertices (or terminals) can communicate with each other (two-terminal reliability). While both of these questions have been…

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Atlantic Graph Theory Seminar: Lucas Mol, Thomson Rivers University

March 8, 2023 @ 3:30 pm - 4:30 pm
Online via Zoom

Avoiding additive powers in words A word is a sequence of symbols taken from some finite alphabet. A square is a word of the form xx, where x is a nonempty word. It is well-known that there are infinite words over an alphabet of size 3 that contain no squares. Suppose now that the alphabet is some finite subset of the integers. An additive square is a word of the form xx', where x and x' have the same nonzero…

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Dalhousie-AARMS AAMP Seminar: Katrina Morgan (Northwestern University)

March 10, 2023 @ 4:00 pm - 5:00 pm
Dalhousie University Halifax, Nova Scotia Canada

Title + Abstract: TBD The Dalhousie-AARMS Analysis-Applied Math-Physics Seminar takes place on Fridays from 4 - 5 pm Atlantic Time over either Zoom and/or in Chase 227 depending on the speaker.  If you would like to attend, please email the organizers for connection details.

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