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DTSTART;TZID=UTC:20230208T153000
DTEND;TZID=UTC:20230208T163000
DTSTAMP:20260612T171621
CREATED:20230213T124145Z
LAST-MODIFIED:20230213T124512Z
UID:7119-1675870200-1675873800@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar: Jason Brown\, Dalhousie University
DESCRIPTION:Colourings\, Polynomials and Roots\nA 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 the simplest of functions\, their properties can take you deep within mathematics. In this talk I will describe some recent result on chromatic polynomials and their offshoots\, connecting to commutative algebra as well as real and complex analysis. And on our trip\, we visit with some old friends\, including Charles Hermite\, Jacques Sturm\, and Carl Gauss. \nMeeting ID: 831 4765 9865\nPasscode: 505092
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-jason-brown-dalhousie-university/
LOCATION:Online via Zoom
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="jeannette Janssen":MAILTO:jeannette.janssen@dal.ca
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BEGIN:VEVENT
DTSTART;TZID=America/Halifax:20230210T160000
DTEND;TZID=America/Halifax:20230210T170000
DTSTAMP:20260612T171621
CREATED:20200904T115630Z
LAST-MODIFIED:20221209T171515Z
UID:6996-1676044800-1676048400@aarms.math.ca
SUMMARY:Dalhousie-AARMS AAMP Seminar: Victor Ivrii (U. Toronto)
DESCRIPTION:Title + Abstract: TBD\nThe 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.
URL:https://aarms.math.ca/event/dalhousie-aarms-aamp-seminar-steven-lester-kings-college-london-2-2-3-2-2-2-4-2-2-2-2-2-2/
LOCATION:Dalhousie University\, Halifax\, Nova Scotia\, Canada
CATEGORIES:AAMP Seminar
ORGANIZER;CN="Suresh Eswarathasan":MAILTO:sr766936@dal.ca
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=UTC:20230215T153000
DTEND;TZID=UTC:20230215T163000
DTSTAMP:20260612T171621
CREATED:20230213T124408Z
LAST-MODIFIED:20230213T124408Z
UID:7121-1676475000-1676478600@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar: Jérémie Turcotte\, Université de Montréal
DESCRIPTION:Progress towards the Burning Number Conjecture\nThe 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 et al.\, was b(G)<= \sqrt{\frac{4n}{3}}+1. We prove that the Burning Number Conjecture holds asymptotically\, that is b(G)<= (1+o(1))\sqrt{n}. Following a brief introduction to graph burning\, this talk will focus on the general ideas behind the proof. \nMeeting ID: 885 9352 1895\nPasscode: 522241
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-jeremie-turcotte-universite-de-montreal/
LOCATION:Online via Zoom
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="jeannette Janssen":MAILTO:jeannette.janssen@dal.ca
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=UTC:20230217T110000
DTEND;TZID=UTC:20230222T120000
DTSTAMP:20260612T171621
CREATED:20230131T103547Z
LAST-MODIFIED:20230131T103547Z
UID:7054-1676631600-1677067200@aarms.math.ca
SUMMARY:Minicourse: Group Graded Azumaya Algebras and Generic Constructions
DESCRIPTION:Taught by Professor Eli Aljadeff\, Technion University\, Israel \nThe 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. \nOur main tool will be polynomial identities and\, in particular\, graded polynomial identities. This tool will allow us to construct generic graded Azumaya algebras. \nIn the first lecture of the mini-course\, as a part of the motivation to discuss group graded algebras\, I will recall some classical topics such as division algebras\, Brauer groups\, crossed products and Galois cohomology. Then I will introduce G-graded polynomial identities\, where G is a finite group\, and discuss generic constructions. In particular\, for an arbitrary finite-dimensional G-graded simple algebra A over an algebraically closed field F of characteristic 0\, I will construct a generic G-graded Azumaya algebra from which one can obtain by specialization all forms of A in the sense of Galois descent. \nAs a key application\, I will discuss the following problem. It is not difficult to see that for any finite group G\, finite-dimensional G-graded division algebras are G-graded simple and they remain G-graded simple upon any extension of the field of scalars. \nWe will be interested in the opposite direction. Unlike the situation in the ungraded case\, where the algebras of n × n matrices always admit forms which are division algebras\, this is not generally true in the setting of G-graded algebras. \nSuppose that A is a finite-dimensional G-graded simple algebra over an algebraically closed field F. One of the goals of these lectures is to provide necessary and sufficient conditions on the graded structure of A under which A admits forms that are G-graded division algebras. In particular we show that A must be a G-graded simple algebra for which the corresponding generic G-graded simple algebra is a G-graded division algebra. \nThe lectures will be delivered during three time periods\, as shown below. They will take place at the St. John’s campus of Memorial University and will be broadcast via Webex. All the times are in Newfoundland Time (NST=UTC-3:30). \nFriday\, February 17\, 11-12 am\, room A-1045/1046 \nMonday\, February 20\, 11-12 am\, room A-1045/1046 \nWednesday\, February 22\, 11-12 am\, room A-1045/1046 \nThe lectures will be available online via Webex.  Contact the organizer for details
URL:https://aarms.math.ca/event/minicourse-group-graded-azumaya-algebras-and-generic-constructions/
LOCATION:Memorial University (St. John’s Campus)\, St. John's\, Newfoundland and Labrador\, Canada
CATEGORIES:AARMS schools and minicourses
ORGANIZER;CN="Yuri Bahturin":MAILTO:bahturin@mun.ca
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