BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Drupal iCal API//EN X-WR-CALNAME:Events items teaser X-WR-TIMEZONE:America/Toronto BEGIN:VTIMEZONE TZID:America/Toronto X-LIC-LOCATION:America/Toronto BEGIN:DAYLIGHT TZNAME:EDT TZOFFSETFROM:-0500 TZOFFSETTO:-0400 DTSTART:20260308T070000 END:DAYLIGHT BEGIN:STANDARD TZNAME:EST TZOFFSETFROM:-0400 TZOFFSETTO:-0500 DTSTART:20251102T060000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:6a017dad15821 DTSTART;TZID=America/Toronto:20260515T113000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260515T123000 URL:https://uwaterloo.ca/pure-mathematics/events/ergodic-theory-learning-se minar SUMMARY:Ergodic Theory Learning Seminar CLASS:PUBLIC DESCRIPTION:JULIUS FRIZZELL\, University of Waterloo\n\n_A Quick Introducti on to Ergodic Theory_\n\nI will introduce the basic definitions and theore ms (without proof) of\nergodic theory that are needed to discuss Furstenbe rg's multiple\nrecurrence theorem. The development will follow that in Cha pter 1 of\n\"An Introduction to Ergodic Theory\" by Peter Walters and Chap ter 3 of\n\"Multiple Recurrence in Ergodic Theory and Combinatorial Number \nTheory\" by Harry Furstenberg. Time allowing\, I will also cover the\nst atement of the Multiple recurrence theorem itself and its\nrelationship to Szemerédi's theorem.\n\nMC 5417 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad1825e DTSTART;TZID=America/Toronto:20260514T110000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260514T120000 URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working -seminar-100 SUMMARY:Algebraic Geometry Working Seminar CLASS:PUBLIC DESCRIPTION:KALEB RUSCITTI\, University of Waterloo\n\n_Building Kronecker Moduli Spaces_\n\nKronecker moduli spaces are quiver moduli spaces and a g eneralization\nof Grassmannians. They parameterize n-tuples of matrices be tween two\nvector spaces\, up to change of basis on both sides. In this se minar\, I\nwill describe how to construct them as GIT quotients and what\n properties we can prove about them from this construction.\n\nMC 5417 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad18c1c DTSTART;TZID=America/Toronto:20260513T140000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260513T170000 URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work ing-seminar-187 SUMMARY:Differential Geometry Working Seminar CLASS:PUBLIC DESCRIPTION:SPIRO KARIGIANNIS\, UNIVERSITY OF WATERLOO\n\n_Decomposition of the Riemann Curvature Tensor_\n\nThe Riemann curvature tensor R of a Riem annian metric decomposes into\nthree orthogonal components: thescalar curv ature\, the traceless Ricci\ncurvature tensor\, and the Weyl curvature ten sor. I will explain in\ndetail therepresentation theory and linear algebra underlying this\ndecomposition. Moreover\, we will see that in the specia lcases of\ndimensions 2\, 3\, 4 one can say more. As an application\, I wi ll discuss\nthe Singer-Thorpe Theoremcharacterizing Einstein metrics in 4\ ndimensions in terms of this decomposition. If time permits (and it may\nw ellpermit\, as this will be a 2.5 hour talk with a break midway)\, I\nwill briefly discuss a generalization of these ideasto G2-geometry in\n7 dimen sions.\n\nMC 5417 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad1955c DTSTART;TZID=America/Toronto:20260505T110000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260505T140000 URL:https://uwaterloo.ca/pure-mathematics/events/phd-thesis-defense-16 SUMMARY:PhD Thesis Defense CLASS:PUBLIC DESCRIPTION:YASH SINGH\, UNIVERSITY OF WATERLOO\n\n_Vector bundles on toric stacks_\n\nThis thesis is concerned with a generalization of Klyachko's\n classification of toric vector bundles to toric stacks.The work of\nKlyach ko gave an elegant method of studying toric vector bundles\nthrough filtra tions of a vectorspace. We extend these techniques to\nvector bundles on a toric stack and generalize the aspects of\nKlyachko'swork to a more geome tric setting. In particular\, we show\nthat the category of reflexive shea ves on a toric stack isequivalent\nto a category of filtered reflexives sh eaves of its largest\nDeligne-Mumford substack. We then combinethis with a n equivariant\nversion of Gubeladze's result on the splitting of vector bu ndles on\ntoric varieties to provea classification theorem for vector bund les on\ntoric stacks.\n\nMC 5403 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad19f5c DTSTART;TZID=America/Toronto:20260505T093000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260505T123000 URL:https://uwaterloo.ca/pure-mathematics/events/phd-defence-2 SUMMARY:PhD Defence CLASS:PUBLIC DESCRIPTION:JENNIFER ZHU\, UNIVERSITY OF WATERLOO\n\n_Categorical Limits o f Quantum Graphs and Possibilities Induced by\nQuantumPseudometrics_\n\nQu antum graphs and quantum pseudometrics as defined by Kuperberg and\nWeaver have roots in quantum errorcorrection but have since been\ndeveloped as s ubjects in their own right. The motivation for the first\nhalf of thisthes is is to build an infinite quantum graph from finite\nquantum graphs. The latter have been subjected to fargreater scrutiny\ndue to their connection s to categorical quantum theory\, while the\nformer have been somewhatnegl ected. To be precise\, we define and take\nthe categorical (co)limit of qu antum graphs by developing a newnotion\nof morphism compatible with previo us notions but carrying less\nbaggage. The inspiration for the secondhalf follows from the\n(unpublished) theorem that pure states on a von Neumann algebra\n\\mathcal{M} are givenby maximal filters in the projection lattic e of\n\\mathcal{M}. Upon the observation that points in a metric space$(X\ ,\nd)$ with topology $\\tau$ are also given by maximal filters $\\tau$ and \nthat quantum pseudometrics provide anotion of distance between\nprojecti ons in $B(\\ell^2) \\overline{\\otimes} \\mathcal M$\, we are led\nto a no tion ofdistance $f$ between pure states induced by these\nquantum pseudome trics. Also this function $f$ does not satisfythe\ntriangle inequality\, w e make some parallels between it and David\nLewis's conception of ``possib le worlds.''\n\nMC 2009 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad1a8f3 DTSTART;TZID=America/Toronto:20260505T150000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260505T160000 URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-217 SUMMARY:Analysis Seminar CLASS:PUBLIC DESCRIPTION:PAUL SKOUFRANISYORK UNIVERSITY\n\n_Non-Commutative Majorization _\n\nThe maps that send a self-adjoint matrix $A$ to $U^*AU$ where $U$ is a\nunitary matrix are essential inQuantum Information Theory as these\nmap s transmit quantum information in a reversible way. When\nconvexcombinatio ns of such maps are taken\, one obtains what are known\nas the mixed unita ry quantum channels\, whichare essential models for\nhow quantum informati on can be transmitted when noise is present. Just\nas the unitaryconjugate s of a self-adjoint matrix can be determined\nvia spectral data\, so too c an the image of a self-adjointmatrix under\nall possible mixed unitary qua ntum channels. Since this is equivalent\nto characterizing the convexhull of the unitary orbit of a\nself-adjoint matrix\, this problem has a well-k nown solution from\noperator theoryinvolving the notion of matrix majoriza tion of one\nself-adjoint operator by another. In this talk\, we will exam inehow we\ncan extend the notion of matrix majorization to non-commutative \ncontexts. In particular\, we will discussa notion of non-commutative\nma jorization that characterizes the potential outputs under all\nquantum cha nnels ofany non-commutative tuple of matrices. This is\nbased on joint wor k with Matt Kennedy.\n\nMC 5417 or Join on Zoom\n[https://uwaterloo.zoom.u s/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09] DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad1b44b DTSTART;TZID=America/Toronto:20260501T110000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260501T120000 URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-seminar -14 SUMMARY:Algebraic Geometry Seminar CLASS:PUBLIC DESCRIPTION:CATHERINE ST-PIERRE\, UNIVERSITY OF WATERLOO\n\n_Organizational meeting_\n\nWe will organize the seminars for the summer.\n\nMC 5403 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad1c04c DTSTART;TZID=America/Toronto:20260429T120000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260429T130000 URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-216 SUMMARY:Analysis Seminar CLASS:PUBLIC DESCRIPTION:JENNIFER ZHU\, UNIVERSITY OF WATERLOO\n\n_Morphisms of Quantum Confusability Graphs_\n\nIt would be unrealistic to have an information ch annel — quantum or\nclassical — that always sends information with abs olute accuracy\;\nthat is\, we must expect a channel to have noise. In 195 6\, Shannon\nintroduced the notion of zero-error capacity of a noisy (clas sical)\nchannel using the confusability graph of this channel. In 2010\, D uan\,\nSeverini\, and Winter developed the analogous notion (quantum\nconf usability graphs) for quantum channels and show that one can\nrecover vari ous types of zero-error capacities of quantum channels. In\nthe first half of this talk\, we will see how these quantum\nconfusability graphs are de rived and how they subsume Shannon's notion\nof classical confusability gr aphs.\n\nQNC 1201 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad1cc30 DTSTART;TZID=America/Toronto:20260430T140000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260430T153000 URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work ing-seminar-186 SUMMARY:Differential Geometry Working Seminar CLASS:PUBLIC DESCRIPTION:FACUNDO CAMANO\, UNIVERSITY OF WATERLOO\n\n_Boundary Conditions for Non-Euclidean Monopoles_\n\nIn this talk\, I will discuss the heurist ic behind defining asymptotics\nfor monopoles. Specifically\, the asymptot icsshould be abelian\nsolutions embedded into the gauge group. I will firs t go over this\nheuristic for Euclideanmonopoles and then move on to non-E uclidean\nsituations such as hyperbolic and singly periodic.\n\nMC 5403 DTSTAMP:20260511T065645Z END:VEVENT BEGIN:VEVENT UID:6a017dad1d722 DTSTART;TZID=America/Toronto:20260423T143000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20260423T160000 URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work ing-seminar-185 SUMMARY:Differential Geometry Working Seminar CLASS:PUBLIC DESCRIPTION:PAUL CUSSON\, UNIVERSITY OF WATERLOO\n\n_Monopoles with rotatio nal symmetry_\n\nWe will first look at SU(2)-monopoles invariant under the action of a\ncircle subgroup of SO(3) about the z-axis.The polynomials cu tting out\ntheir spectral curves in TP^1 will be derived\, and these will be used\nto describe thespectral curves of S^1-invariant SU(N)-monopoles f or\narbitrary N.\n\nMC 5403 DTSTAMP:20260511T065645Z END:VEVENT END:VCALENDAR