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DTSTART:20240310T070000
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DTSTART:20231105T060000
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UID:69f44f17d6437
DTSTART;TZID=America/Toronto:20240403T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240403T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/undecidable-extensio
 n-morleys-theorem-number-countable
SUMMARY:An undecidable extension of Morley’s theorem on the number of\nco
 untable models
CLASS:PUBLIC
DESCRIPTION:FRANKLIN TALL\, UNIVERSITY OF TORONTO\n\nWe show that Morley’
 s theorem on the number of countable models of a\ncountable first-order th
 eory becomes an undecidable statement when\nextended to second-order logic
 . More generally\, we calculate the\nnumber of equivalence classes of equi
 valence relations obtained by\ncountable intersections of projective sets 
 in several models of set\ntheory. Our methods include random and Cohen for
 cing\, large cardinals\,\nand Inner Model Theory.\n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17d8686
DTSTART;TZID=America/Toronto:20240327T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240327T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/binding-groups-ratio
 nal-dynamics
SUMMARY:Binding groups for rational dynamics
CLASS:PUBLIC
DESCRIPTION:RAHIM MOOSA\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WA
 TERLOO\n\nI will report on ongoing work with Moshe Kamensky toward develop
 ing a\ntheory of binding groups for quantifier-free types in ACFA\,\nwell-
 suited for applications to rational algebraic dynamics.\n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17d8f4e
DTSTART;TZID=America/Toronto:20240320T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240320T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/klein-j-function-not
 -pfaffian-over-real-exponential-field
SUMMARY:The Klein j-Function is not Pfaffian over the Real Exponential Fiel
 d
CLASS:PUBLIC
DESCRIPTION:CHRISTOPH KESTING\, MCMASTER UNIVERSITY\n\nJames Freitag showed
  that the Klein j-function is not pfaffian over\nthe complex numbers. In t
 his talk\, I will give a brief introduction to\npfaffian functions\, their
  current place in model theory and Freitag's\nresult. Then I will discuss 
 recent work expanding Freitag's result to\na restriction of the j-function
  to the imaginary interval (0\, i) not\nbeing pfaffian over the real expo
 nential field.\n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17d980d
DTSTART;TZID=America/Toronto:20240313T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240313T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/isomorphism-spectra-
 and-computably-composite-structures
SUMMARY:Isomorphism Spectra and Computably Composite Structures
CLASS:PUBLIC
DESCRIPTION:JOEY LAKERDAS-GAYLE\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSI
 TY OF\nWATERLOO\n\nIf $\\mathcal{A}$ and $\\mathcal{B}$ are two computable
  copies of a\nstructure\, their isomorphism spectrum is the set of Turing 
 degrees\nthat compute an isomorphism from $\\mathcal{A}$ to $\\mathcal{B}$
 . We\nintroduce a framework for constructing computable structures with th
 e\nproperty that the isomorphisms between arbitrary computable copies of\n
 these structures are constructed from isomorphisms between computable\ncop
 ies of their component structures. We call these \\emph{computably\ncompos
 ite structures}. We show that given any uniformly computable\ncollection o
 f isomorphism spectra\, there exists a pair of computably\ncomposite struc
 tures whose isomorphism spectrum is the union of the\noriginal isomorphism
  spectra. We use this to construct examples of\nisomorphism spectra that a
 re not equal to the upward closure of any\nfinite set of Turing degrees.\n
 \nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17d9ff7
DTSTART;TZID=America/Toronto:20240306T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240306T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/splitting-differenti
 al-logarithm-map-using-galois-theory
SUMMARY:Splitting the differential logarithm map using Galois theory
CLASS:PUBLIC
DESCRIPTION:CHRISTINE EAGLES\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY 
 OF\nWATERLOO\n\nAn ordinary algebraic differential equation is said to be 
 internal to\nthe constants if its general solution is obtained as a ration
 al\nfunction of finitely many of its solutions and finitely many constant\
 nterms. Such equations give rise to algebraic groups behaving as Galois\ng
 roups. In this talk I give a characterisation of when the pullback of\nthe
  differential logarithm of an equation is internal to the constants\nwhen 
 the Galois group is unipotent or a torus. This is joint work in\nprogress
  with Leo Jimenez.\n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17da766
DTSTART;TZID=America/Toronto:20240228T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240228T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/computable-continuou
 s-logic-qwep-and-type-iii-factors
SUMMARY:Computable Continuous Logic\, QWEP\, and Type III Factors
CLASS:PUBLIC
DESCRIPTION:JANANAN ARULSEELAN\, MCMASTER UNIVERSITY\n\nBy the recent MIP*=
 RE result\, the QWEP conjecture is known to be\nfalse. Consequently\, the 
 universal theory of the hyperfinite II_1\nfactor is not computable. We wil
 l explain these results and their\ncontext and then discuss the uncomputab
 ility of the universal theories\nof other Powers factors and the lack of a
 n effective axiomatization of\nQWEP C^∗ algebras. As an application we s
 how that there is a\nultraproduct of non-QWEP algebras with QWEP. This is 
 joint work with\nIsaac Goldbring and Bradd Hart. \n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17daf1e
DTSTART;TZID=America/Toronto:20240214T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240214T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/continuous-stable-re
 gularity
SUMMARY:Continuous Stable Regularity
CLASS:PUBLIC
DESCRIPTION:NICOLAS CHAVARRIA\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY
  OF\nWATERLOO\n\nWe discuss joint work with G. Conant and A. Pillay regard
 ing a version\nof the Malliaris-Shelah stable regularity lemma realized in
  the\ncontext of continuous logic\, which allows us to speak about the\nst
 ructure of stable functions of the form $f:V\\times W\\to [0\,1]$\,\nwhere
  we think of $V$ and $W$ as the parts of a \"weighted'' bipartite\ngraph. 
 In the process\, we will also mention some results about the\nstructure of
  local Keisler measures in this setting.\n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17db6b8
DTSTART;TZID=America/Toronto:20240131T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240131T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/residually-finite-eq
 uational-theories
SUMMARY:Residually finite equational theories
CLASS:PUBLIC
DESCRIPTION:ROSS WILLARD\, UNIVERSITY OF WATERLOO\n\nAn equational theory T
  is said to be residually finite if every model\nof the theory can be embe
 dded in a product of finite models of the\ntheory.  Equivalently\, T is r
 esidually finite if and only if its\nirreducible models (those that cannot
  be embedded in products of\n“simpler” models) are all finite.  In pr
 actice\, it seems that\nwhenever a theory is both “interesting” and re
 sidually finite\,\nthen there is a finite upper bound to the sizes of its 
 irreducible\nmodels.  In other words\, we see a sort of compactness princ
 iple for\n“interesting” equational theories: if such a theory has\narb
 itrarily large finite irreducible models\, then it must have an\ninfinite 
 irreducible model.  Whether or not this observation holds\ngenerally has 
 been open for almost 50 years.  In this talk I will\ndiscuss some recent 
 progress with collaborators Keith Kearnes and\nAgnes Szendrei.\n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17dbedb
DTSTART;TZID=America/Toronto:20240124T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240124T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/generic-derivations-
 o-minimal-structures
SUMMARY:Generic derivations on o-minimal structures
CLASS:PUBLIC
DESCRIPTION:ELLIOT KAPLAN\, MCMASTER UNIVERSITY\n\nLet T be a model complet
 e o-minimal theory that extends the theory of\nreal closed ordered fields 
 (RCF). We introduce T-derivations:\nderivations on models of T which coope
 rate with T-definable functions.\nThe theory of models of T expanded by a 
 T-derivation has a model\ncompletion\, in which the derivation acts \"gene
 rically.\" If T = RCF\,\nthen this model completion is the theory of close
 d ordered\ndifferential fields (CODF) as introduced by Singer. We can reco
 ver\nmany of the known facts about CODF (open core\, distality) in our\nse
 tting. We can also describe thorn-rank for models of T with a\ngeneric T-d
 erivation. This is joint work with Antongiulio Fornasiero.\n\nMC 5479
DTSTAMP:20260501T065831Z
END:VEVENT
BEGIN:VEVENT
UID:69f44f17dc698
DTSTART;TZID=America/Toronto:20240117T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240117T153000
URL:https://uwaterloo.ca/pure-mathematics-logic/events/sparse-subsets-reals
SUMMARY:Sparse subsets of the reals
CLASS:PUBLIC
DESCRIPTION:JASON BELL\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WAT
 ERLOO\n\nWe look at the first-order theory of the real numbers augmented b
 y a\npredicate X that is in some natural sense self-similar with respect t
 o\na positive integer base. We show that there is a dichotomy: either we\n
 can define a Cantor set in our structure or our expansion of the reals\nis
  interdefinable with the real numbers augmented by a set of the form\n{1/r
 \, 1/r^2\, 1/r^3\, …} for some integer r&gt;=2.  In the latter case\,\nthi
 s is equivalent to the structure having NIP and NTP_2.  This is\njoint wo
 rk with Alexi Block Gorman.\n\nMC 5479
DTSTAMP:20260501T065831Z
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