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TZID:America/Toronto
X-LIC-LOCATION:America/Toronto
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TZNAME:EDT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
DTSTART:20240310T070000
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BEGIN:STANDARD
TZNAME:EST
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
DTSTART:20231105T060000
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END:VTIMEZONE
BEGIN:VEVENT
UID:69fc2004e2993
DTSTART;TZID=America/Toronto:20240404T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240404T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/constructing-acti
 ons-fusion-categories-c-algebras
SUMMARY:Constructing actions of fusion categories on C*-algebras
CLASS:PUBLIC
DESCRIPTION:COREY JONES\, NORTH CAROLINA STATE UNIVERSITY\n\nA fusion categ
 ory is an algebraic object that simultaneously\ngeneralizes finite groups 
 and their representation categories. Fusion\ncategories can ``act\" on C*-
 algebras by bimodules\, extending the\nfamiliar concept of a group acting 
 by automorphisms to a\nnon-invertible setting. Building actions of specifi
 c fusion categories\non specific C*-algebras is hard. In this talk\, we wi
 ll discuss a\ngeneral method that allows for the construction of actions o
 f fusion\ncategories on interesting C*-algebras with minimal algebraic inp
 ut. As\nan application\, we construct actions of exotic fusion categories 
 on\nnoncommutative tori. Based on joint work with David Evans.\n\nThis sem
 inar will be held both online and in person:\n\n* Room: MC 5479\n * Zoom l
 ink:\nhttps://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRr
 eW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004e825f
DTSTART;TZID=America/Toronto:20240328T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240328T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/dualities-sets-an
 d-how-they-appear-optimal-transport
SUMMARY:Dualities on sets and how they appear in optimal transport
CLASS:PUBLIC
DESCRIPTION:KATARZYNA WYCZESANY\, CARNEGIE MELLON UNIVERSITY\n\nIn this tal
 k\, we will discuss order reversing quasi involutions\, which\nare dualiti
 es on their image\, and their properties. We prove that any\norder reversi
 ng quasi-involution is of a special form\, which arose\nfrom the considera
 tion of optimal transport problem with respect to\ncosts that attain infin
 ite values. We will discuss how this unified\npoint of view on order rever
 sing quasi-involutions helps to deepen the\nunderstanding of the underlyin
 g structures and principles. We will\nprovide many examples and ways to co
 nstruct new order reversing\nquasi-involutions from given ones. This talk 
 is based on joint work\nwith Shiri Artstein-Avidan and Shay Sadovsky.\n\nT
 his seminar will be held both online and in person:\n\n* Room: MC 5479\n *
  Zoom link:\nhttps://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1a
 TROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004e8c6a
DTSTART;TZID=America/Toronto:20240314T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240314T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/c-quantum-dynamic
 s
SUMMARY:C* Quantum Dynamics
CLASS:PUBLIC
DESCRIPTION:ROBERTO HERNANDEZ PALOMARES\, DEPARTMENT OF PURE MATHEMATICS\,\
 nUNIVERSITY OF WATERLOO\n\nA subfactor is a unital inclusion of simple von
  Neumann algebras\,\nwhich can be presented as a non-commutative dynamical
  system governed\nby a tensor category. Popa established that in ideal sce
 narios\,\ndynamical data is a strong invariant for hyperfinite subfactors.
  These\nreconstruction results in a way give an equivariant version of Con
 nes'\nclassification for amenable factors. On the topological side\, after
 \nthe recent culmination of the classification program for amenable\nC*-al
 gebras\, whether there is an analogue of Popa's Reconstruction\nresults is
  not clear. In this talk\, I will describe the transfer of\nsubfactor tech
 niques to C*-algebras\, introducing the largest class of\ninclusions of C*
 -algebras admitting a quantum dynamical invariant akin\nto subfactors. Exa
 mples include the cores of Cuntz algebras\, certain\nsemicircular systems\
 , and crossed products by actions of tensor\ncategories. Time allowing\, w
 e will discuss some interactions with the\nC* classification program. This
  is based on joint work with Brent\nNelson.\n\nThis seminar will be held b
 oth online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhttps://uwate
 rloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004e93ae
DTSTART;TZID=America/Toronto:20240307T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240307T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/probabilistic-app
 roach-lp-affine-isoperimetric-inequalities
SUMMARY:A probabilistic approach to Lp affine isoperimetric inequalities
CLASS:PUBLIC
DESCRIPTION:PETER PIVOVAROV\, UNIVERSITY OF MISSOURI\n\nIn the class of con
 vex sets\, the isoperimetric inequality can be\nderived from several diffe
 rent affine inequalities. One example is the\nBlaschke-Santalo inequality 
 on the product of volumes of a convex body\nand its polar dual. Another ex
 ample is the Busemann--Petty inequality\nfor centroid bodies. In the 1990s
 \, Lutwak and Zhang introduced a\nrelated functional analytic framework wi
 th their notion of Lp centroid\nbodies\, for p>1. Lutwak raised the questi
 on of encompassing the\nnon-convex star-shaped range when p<1 (including n
 egative values). I\nwill discuss a probabilistic approach to establishing 
 isoperimetric\ninequalities in this range. It uses a new representation of
 \nstar-shaped sets as special averages of convex sets. Based on joint\nwor
 k with R. Adamczak\, G. Paouris\, and P. Simanjuntak.\n\nThis seminar will
  be held both online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhtt
 ps://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004e9aa1
DTSTART;TZID=America/Toronto:20240229T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240229T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/derivations-symme
 tric-quantum-markov-semigroups
SUMMARY:Derivations for symmetric quantum Markov semigroups
CLASS:PUBLIC
DESCRIPTION:MATTHIJS VERNOOIJ\, TU DELFT\n\nQuantum Markov semigroups descr
 ibe the time evolution of the operators\nin a von Neumann algebra correspo
 nding to an open quantum system. Of\nparticular interest are so-called sym
 metric semigroups. Given a\nfaithful state\, one can define the GNS- and K
 MS-inner product on the\nvon Neumann algebra\, and a semigroup is GNS- or 
 KMS-symmetric if it is\nself-adjoint w.r.t. the inner product. GNS-symmetr
 y implies\nKMS-symmetry\, and both coincide if the state is a trace. It wa
 s shown\nin 2003 that the generator of a tracially symmetric quantum Marko
 v\nsemigroup can be written as the 'square' of a derivation\, i.e. d*\naft
 er d\, where d is a derivation to a Hilbert bimodule. This result\nhas pro
 ven to be very influential in many different directions. In\nthis talk\, w
 e will look at this problem in the case that our state is\nnot tracial. We
  will start by discussing how a computer can be used to\ndecide whether su
 ch a derivation exists in finite dimensions\, and work\nour way up to a ge
 neral result on KMS-symmetric quantum Markov\nsemigroups. This is joint wo
 rk with Melchior Wirth.\n\nThis seminar will be held both online and in pe
 rson:\n\n* Room: MC 5479\n * Zoom link:\nhttps://uwaterloo.zoom.us/j/94186
 354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004ea1f0
DTSTART;TZID=America/Toronto:20240215T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240215T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/ultracoproducts-a
 nd-weak-containment-flows-topological
SUMMARY:Ultracoproducts and weak containment for flows of topological group
 s
CLASS:PUBLIC
DESCRIPTION:ANDY ZUCKER\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WA
 TERLOO\n\nWe develop the theory of ultracoproducts and weak containment fo
 r\nflows of arbitrary topological groups. This provides a nice complement\
 nto corresponding theories for p.m.p. actions and unitary\nrepresentations
  of locally compact groups. For the class of locally\nRoelcke precompact g
 roups\, the theory is especially rich\, allowing us\nto define for certain
  families of G-flows a suitable compact space of\nweak types. When G is lo
 cally compact\, all G-flows belong to one such\nfamily\, yielding a single
  compact space describing all weak types of\nG-flows.\n\nhis seminar will 
 be held both online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhttp
 s://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004ea811
DTSTART;TZID=America/Toronto:20240201T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240201T153000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/local-normal-form
 s-complex-bk-geometry
SUMMARY:Local normal forms in complex b^k geometry
CLASS:PUBLIC
DESCRIPTION:MICHAEL FRANCIS\, WESTERN UNIVERSITY\n\nThe b-tangent bundle (t
 erminology due to Melrose) is defined so that\nits sections are smooth vec
 tor fields on the base manifold tangent\nalong a given hypersurface. Compl
 ex b-manifolds\, studied by Mendoza\,\nare defined just like ordinary comp
 lex manifolds\, replacing the usual\ntangent bundle by the b-tangent bundl
 e. Recently\, a\nNewlander-Nirenberg theorem for b-manifolds was obtained 
 by\nFrancis-Barron\, building on Mendoza's work. This talk will discuss th
 e\nextension of the latter result to the setting of b^k-geometry for k>1.\
 nThe original approach to b^k-geometry is due to Scott. A slightly\ndiffer
 ent approach that allows for global holonomy phenomena not\npresent in Sco
 tt's framework was introduced by Francis and\,\nindependently\, by Bischof
 f-del Pino-Witte.\n\nThis seminar will be held both online and in person:\
 n\n* Room: MC 5417\n * Zoom link:\nhttps://uwaterloo.zoom.us/j/94186354814
 ?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004eade2
DTSTART;TZID=America/Toronto:20240125T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240125T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/approximation-alg
 orithms-noncommutative-constraint
SUMMARY:Approximation algorithms for noncommutative constraint satisfaction
 \nproblems
CLASS:PUBLIC
DESCRIPTION:ERIC CULF\, DEPARTMENT OF APPLIED MATHEMATICS\, UNIVERSITY OF W
 ATERLOO\n\nConstraint satisfaction problems (CSPs) are an important topic 
 of\ninvestigation in computer science. For example\, the problem of findin
 g\noptimal k-colourings of graphs\, Max-Cut(k)\, is NP-hard\, but it is ea
 sy\nto approximate in the sense that it is possible to find a colouring\nt
 hat satisfies a large fraction of the constraints of an optimal one.\nWe s
 tudy a noncommutative variant of CSPs that is central in quantum\ninformat
 ion\, where the variables are replaced by operators. In this\ncontext\, ev
 en approximating general CSPs is known to be much harder\nthan the classic
 al case\, in fact uncomputably hard. Nevertheless\,\nMax-Cut(2) becomes ef
 ficiently solvable. We introduce a framework for\ndesigning approximation 
 algorithms for noncommutative CSPs\, which\nallows us to find classes of C
 SPs that are efficiently approximable\nbut not efficiently solvable. To de
 termine the quality of our\napproximation algorithm\, we make use of resul
 ts from free probability\nto characterise a distribution arising from rand
 om matrices. This talk\nis based on work with Hamoon Mousavi and Taro Spir
 ig\n(arxiv.org/abs/2312.16765).\n\nThis seminar will be held both online a
 nd in person:\n\n* Room: MC 5479\n * Zoom link:\nhttps://uwaterloo.zoom.us
 /j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004eb4c2
DTSTART;TZID=America/Toronto:20231130T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20231130T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/algebraic-connect
 edness-and-bipartiteness-quantum-graphs
SUMMARY:Algebraic connectedness and bipartiteness of quantum graphs
CLASS:PUBLIC
DESCRIPTION:JUNICHIRO MATSUDA\, KYOTO UNIVERSITY\n\nQuantum graphs are a no
 n-commutative analogue of classical graphs\nrelated to operator algebras\,
  quantum information\, quantum groups\,\netc. In this talk\, I will give a
  brief introduction to quantum graphs\nand talk about spectral characteriz
 ations of properties of quantum\ngraphs. We introduce the notion of connec
 tedness and bipartiteness of\nquantum graphs in terms of graph homomorphis
 ms\, and these properties\nhave algebraic characterizations in the same wa
 y as classical cases.\nWe also show the equivalence between bipartiteness 
 and\ntwo-colorability of quantum graphs defined by two notions of graph\nh
 omomorphisms: one respects adjacency matrices\, and the other respects\ned
 ge spaces. This talk is based on arXiv:2310.09500.\n\nThis seminar will be
  held both online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhttps:
 //uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
END:VEVENT
BEGIN:VEVENT
UID:69fc2004ebc62
DTSTART;TZID=America/Toronto:20231123T163000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20231123T173000
URL:https://uwaterloo.ca/pure-mathematics-analysis/events/positivity-and-su
 m-squares-quantum-information
SUMMARY:Positivity and sum of squares in quantum information
CLASS:PUBLIC
DESCRIPTION:YUMING ZHAO\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WA
 TERLOO\n\nA multivariate polynomial is said to be positive if it takes onl
 y\nnon-negative values over reals. Hilbert's 17th problem concerns\nwhethe
 r every positive polynomial can be expressed as a sum of squares\nof other
  polynomials. Many problems in math and computer science are\nclosely conn
 ected to deciding whether a given polynomial is positive\nand finding cert
 ificates (e.g.\, sum-of-squares) of positivity. In\nquantum information\, 
 we are interested in noncommutative polynomials\nin *-algebras. A well-kno
 wn theorem of Helton states that an element\nof a free *-algebra is positi
 ve in all *-representations if and only\nif it is a sum of squares. The th
 eorem provides an effective way to\ndetermine if a given element is positi
 ve\, by searching through sums of\nsquares decompositions. In this talk\, 
 I'll present joint work with\nArthur Mehta and William Slofstra in which w
 e show that no such\nprocedure exists for the tensor product of two free *
 -algebras:\ndetermining whether an element of such an algebra is positive 
 is\ncoRE-hard. Consequently\, tensor products of free *-algebras contain\n
 elements which are positive but not sums of squares. I will also\ndiscuss 
 the connections to quantum information theory.\n\nThis seminar will be hel
 d both online and in person:\n\n* Room: MC 5479\n * Zoom link:\nhttps://uw
 aterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09
DTSTAMP:20260507T051548Z
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