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TZID:Australia/Sydney
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DTSTART:19700308T020000
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DTSTART:19701101T020000
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DTSTART;TZID=Australia/Sydney:20210419T163000
DTEND;TZID=Australia/Sydney:20210419T173000
SUMMARY:Symmetry in Newcastle
LOCATION:
DESCRIPTION:Symmetry in Newcastle\n\n"A new invariant for difference fields"\nProf Zoé Chatzidakis\n\nAbstract:\nIf $(K,f)$ is a difference field, and $a$ is a finite tuple in some difference field extending $K$, and such that $f(a)$ in $K(a)^{\mathrm{alg}}$, then we define $dd(a/K)=lim[K(f^k(a),a):K(a)]^{1/k}$, the distant degree of $a$ over $K$. This is an invariant of the difference field extension $K(a)^{\mathrm{alg}}/K$. We show that there is some $b$ in the difference field generated by $a$ over $K$, which is equi-algebraic with $a$ over $K$, and such that $dd(a/K)=[K(f(b),b):K(b)]$, i.e.: for every $k>0$, $f(b)$ in $K(b,f^k(b))$.\n\nViewing $Aut(K(a)^{\mathrm{alg}}/K)$ as a locally compact group, this result is connected to results of Goerge Willis on scales of automorphisms of locally compact totally disconnected groups. I will explicit the correspondence between the two sets of results.\n(Joint with E. Hrushovski)\n\n\n"Free group homomorphisms and the Post Correspondence Problem"\nDr Laura Ciobanu\n\nAbstract:\nhe Post Correspondence Problem (PCP) is a classical problem in computer science that can be stated as: is it decidable whether given two morphisms $g$ and $h$ between two free semigroups $A$ and $B$, there is any nontrivial $x$ in $A$ such that $g(x)=h(x)$? This question can be phrased in terms of equalisers, asked in the context of free groups, and expanded: if the `equaliser' of $g$ and $h$ is defined to be the subgroup consisting of all $x$ where $g(x)=h(x)$, it is natural to wonder not only whether the equaliser is trivial, but what its rank or basis might be.\n\nWhile the PCP for semigroups is famously insoluble and acts as a source of undecidability in many areas of computer science, the PCP for free groups is open, as are the related questions about rank, basis, or further generalisations. However, in this talk we will show that there are links and surprising equivalences between these problems in free groups, and classes of maps for which we can give complete answers. This is joint work with Alan Logan.
UID:1227
SEQUENCE:0
DTSTAMP;TZID=Australia/Sydney:20210413T144402
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DTSTART;TZID=Australia/Sydney:20210422T160000
DTEND;TZID=Australia/Sydney:20210422T170000
SUMMARY:CARMA Colloquium\n "Cylindric Partitions and Rogers–Ramanujan Identities"\n Prof Ole Warnaar
LOCATION:SR118, SR Building (and online via Zoom)
DESCRIPTION:CARMA Colloquium\nSR118, SR Building (and online via Zoom)\n\n\nJoin via Zoom, or join us in person (max room capacity is 9 people).\n3:30pm for pre-talk drinks + snacks, and 4pm for the talk\n\n\n\n"Cylindric Partitions and Rogers–Ramanujan Identities"\nProf Ole Warnaar\n\nAbstract:\nPlane partitions are a two-dimensional analogue of integer partitions introduced by MacMahon in the 1890s. \nVarious generating functions for plane partitions admit beautiful product forms, displaying an unexpected connection to the representation theory of classical groups and Lie algebras.\nCylindric partitions, defined by Gessel and Krattenthaler in the 1990s, are an affine analogue of plane partitions.\nIn this talk I will explain what cylindric partitions are, discuss their connection with the representation theory of infinite dimensional Lie algebras, and describe some recent results on Rogers--Ramanujan-type identities arising from the study of cylindric partitions.\nNo knowledge of representation theory will be assumed in this talk.
UID:1224
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DTSTAMP;TZID=Australia/Sydney:20210323T112146
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DTSTART;TZID=Australia/Sydney:20210428T110000
DTEND;TZID=Australia/Sydney:20210428T120000
SUMMARY:CARMA Seminar\n "Two birds, one stone: fixed and moving boundary problems for the heat equation"\n Dr Marianito Rodrigo
LOCATION:V102, Mathematics Building
DESCRIPTION:CARMA Seminar\nV102, Mathematics Building\nCARMA Applied Mathematics Seminar\n\nhttps://uonewcastle.zoom.us/j/81512815850?pwd=M2ZIU3YyTTB2MUN4VmRma3IzcTY5QT09\n Password: 487327\n\n"Two birds, one stone: fixed and moving boundary problems for the heat equation"\nDr Marianito Rodrigo\n\nAbstract:\nFixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initial boundary value problem into an appropriate initial value problem on the real line with arbitrary but given functions, whose solution is known. These arbitrary functions are determined by imposing that the solution of the initial value problem satisfies the given boundary conditions. Exact analytical solutions of some moving boundary problems that have not been previously obtained are provided. Moreover, examples of fixed boundary problems over semi-infinite and bounded intervals are given, thus providing an alternative approach to the usual methods of solution.
UID:1229
SEQUENCE:0
DTSTAMP;TZID=Australia/Sydney:20210426T090940
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DTSTART;TZID=Australia/Sydney:20210506T160000
DTEND;TZID=Australia/Sydney:20210506T170000
SUMMARY:CARMA Colloquium\n "Two-Eyed Seeing: Indigenous Cultures and Mathematics"\n Prof. Veselin Jungic
LOCATION:SR118, SR Building (and online via Zoom)
DESCRIPTION:CARMA Colloquium\nSR118, SR Building (and online via Zoom)\n\n\nJoin via Zoom, or join us in person (max room capacity is 9 people).\n3:30pm for pre-talk drinks + snacks, and 4pm for the talk\n\n\n\n"Two-Eyed Seeing: Indigenous Cultures and Mathematics"\nProf. Veselin Jungic\n\nAbstract:\nIn this presentation, I will give an overview of the Ubiratan D'Ambrosio's concept of ethnomathematics and Elder Albert Marshal's concept of “two-eyed seeing.” I will address some of the dynamics between these two concepts and illustrate them with several examples that will include a brief analysis of geometry evident in a traditional Haida hat currently on display at the SFU Museum of Anthropology and the work of contemporary Salish artist Dylan Thomas.
UID:1228
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DTSTAMP;TZID=Australia/Sydney:20210421T144336
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DTSTART;TZID=Australia/Sydney:20210510T163000
DTEND;TZID=Australia/Sydney:20210510T190000
SUMMARY:Symmetry in Newcastle
LOCATION:V205, Mathematics Building
DESCRIPTION:Symmetry in Newcastle\nV205, Mathematics Building\n"Geometry and Complexity of positive cones in groups"\nProfesor Titular Yago Antolin\n\nAbstract:\nA positive cone on a group $G$ is a subsemigroup $P$, such that $G$ is the disjoint union of $P$, $P^{-1}$ and the trivial element. Positive cones codify naturally $G$-left-invariant total orders on $G$. When $G$ is a finitely generated group, we will discuss whether or not a positive cone can be described by a regular language over the generators and how the ambient geometry of $G$ influences the geometry of a positive cone. This will be based on joint works with Juan Alonso, Joaquin Brum, Cristobal Rivas and Hang Lu Su.\n\n\n"Groups of type $FP_2$ over fields but not over the integers"\nDr Robert Kropholler\n\nAbstract:\nBeing of type $FP_2$ is an algebraic shadow of being finitely presented. A long standing question was whether these two classes are equivalent. This was shown to be false in the work of Bestvina and Brady. More recently, there are many new examples of groups of type $FP_2$ coming with various interesting properties. I will begin with an introduction to the finiteness property $FP_2$. I will end by giving a construction to find groups that are of type $FP_2(F)$ for all fields $F$ but not $FP_2(Z)$.
UID:1230
SEQUENCE:0
DTSTAMP;TZID=Australia/Sydney:20210503T123609
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DTSTART;TZID=Australia/Sydney:20210520T120000
DTEND;TZID=Australia/Sydney:20210520T130000
SUMMARY:CARMA Colloquium\n "Conversation as Assessment"\n Emma Zbarsky
LOCATION:TBA ( Campus, The University of Newcastle)
DESCRIPTION:CARMA Colloquium\nTBA( Campus, The University of Newcastle)\n\n\n\nJoint presentation with AustMS/AMSI lunchtime seminar series\nJoin via Zoom\n\n\n\n"Conversation as Assessment"\nEmma Zbarsky\n\nAbstract:\nAs educators, we need to assess our students for a variety of reasons from the mundane requirement to submit ranked scores to the arcane desire to encourage and track learning. I have developed my approach to oral examinations for undergraduate students in an attempt to support collaborative analysis of my student's understanding, as well as an opportunity for growth and discovery right up to the final moments of a course. I will present my experiences using oral assessments both alone and in combination with written work in multivariable calculus with mid-level students, in partial differential equations with upper-level students, and in introductory calculus with first-year students.
UID:1226
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DTSTAMP;TZID=Australia/Sydney:20210401T103809
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DTSTART;TZID=Australia/Sydney:20210920T090000
DTEND;TZID=Australia/Sydney:20210921T170000
SUMMARY:CARMA Symposium "Indigenising University Mathematics"
LOCATION:Birabahn building of the Wollotuka Institute
DESCRIPTION:CARMA Symposium\nBirabahn building of the Wollotuka Institute\nIndigenising University Mathematics\n\nRegister now at Eventbrite\nThis national and international two-day symposium will address the pressing challenge of how to Indigenise mathematical practice at Universities, both in education and research. The methodology is of collaboration and sharing of knowledge and worldviews from within both Indigenous cultures and the cultures of mathematics and its allied disciplines.
UID:1225
SEQUENCE:0
DTSTAMP;TZID=Australia/Sydney:20210328T104742
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