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:20250309T070000 END:DAYLIGHT BEGIN:STANDARD TZNAME:EST TZOFFSETFROM:-0400 TZOFFSETTO:-0500 DTSTART:20241103T060000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:686c754123b0b DTSTART;TZID=America/Toronto:20250711T153000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250711T163000 URL:/combinatorics-and-optimization/events/tutte-colloq uium-stephen-melczer-0 SUMMARY:Tutte colloquium-Stephen Melczer CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:Automated Sequence Asymptotics\n\nSPEAKER:\n Stephen Melczer\n\nAFFILIATION:\n University of À¶Ý®ÊÓÆµ\n\nLOCATION:\n MC 5501\n\nABSTRACT:Computing with any sort of object requires a way of enco ding\nit on a computer\, which poses a problem in enumerative combinatoric s\nwhere the objects of interest are (infinite) combinatorial sequences.\n Thankfully\, the generating function of a combinatorial sequence often\nsa tisfies natural algebraic/differential/functional equations\, which\ncan t hen be viewed as data structures for the sequence. In this talk\nwe survey methods to take a sequence encoded by such data structures\nand automatic ally determine asymptotic behaviour using techniques from\nthe field of an alytic combinatorics. We also discuss methods to\nautomatically characteri ze the asymptotic behaviour of multivariate\nsequences using analytic comb inatorics in several variables (ACSV).\nThe focus of each topic will be ri gorous algorithms that have already\nbeen implemented in computer algebra systems and can be easily used by\nanyone.\n\n \n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c754125745 DTSTART;TZID=America/Toronto:20250710T143000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250710T153000 URL:/combinatorics-and-optimization/events/algebraic-an d-enumerative-combinatorics-seminar-karen-yeats-2 SUMMARY:Algebraic and enumerative combinatorics seminar-Karen Yeats CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:Sizes of witnesses in covtree\n\nSpeaker\n Ka ren Yeats\n\nAffiliation\n University of À¶Ý®ÊÓÆµ\n\nLocation\n MC 5479\n\ nABSTRACT: Here is a purely combinatorial problem that arose in causal\ns et theory.  Let {P_1\, ... \, P_k} be distinct unlabelled posets all\nwit h n elements.  Suppose there is a poset Q such that {P_1\, ... \,\nP_k} i s exactly the set of downsets of Q of size n up to isomorphism.\nGiven n a nd k can we give a tight upper bound on the minimum size of\nsuch a Q? As with newspaper headlines\, the answer to the question is\nno\, at least fo r the moment\, but I'll explain what we do know.  Joint\nwork with Jette Gutzeit\, Kimia Shaban\, and Stav Zalel.\n\nTHERE WILL BE A PRE-SEMINAR PR ESENTING RELEVANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1:30PM\,\n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c754126960 DTSTART;TZID=America/Toronto:20250703T143000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250703T153000 URL:/combinatorics-and-optimization/events/algebraic-an d-enumerative-combinatorics-seminar-farhad SUMMARY:Algebraic and enumerative combinatorics seminar-Farhad Soltani CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:Quasisymmetric Harmonics in Superspace\n\nSpe aker\n Farhad Soltani\n\nAffiliation\n York University\n\nLocation\n MC 5 479\n\nABSTRACT: The harmonics of quasisymmetric polynomials in superspac e\nare the  orthogonal complement of the ideal generated by\nquasisymmet ric polynomials without constant term. In this talk\, I will\ndiscuss the harmonics and present the first basis of this space\, which\nis indexed by a specific family of nested forests.\n\nTHERE WILL BE A PRE-SEMINAR PRESE NTING RELEVANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1:3 0PM\,\n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c7541277f6 DTSTART;TZID=America/Toronto:20250704T153000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250704T163000 URL:/combinatorics-and-optimization/events/tutte-colloq uium-henry-wolkowicz-2 SUMMARY:Tutte colloquium-Henry Wolkowicz CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:The omega-Condition Number: Applications to P reconditioning and\nLow Rank Generalized Jacobian Updating\n\nSPEAKER:\n H enry Wolkowicz\n\nAFFILIATION:\n University of À¶Ý®ÊÓÆµ\n\nLOCATION:\n MC 5501\n\nABSTRACT: Preconditioning is essential in iterative methods for\n solving linear systems. It is also the implicit objective in updating\napp roximations of Jacobians in optimization methods\, e.g.\,~in\nquasi-Newton methods. We study a nonclassic matrix condition number\,\nthe omega-condi tion number}\, omega for short. omega is the ratio of:\nthe arithmetic and geometric means of the singular values\, rather than\nthe largest and sma llest for the classical kappa-condition number. The\nsimple functions in o mega allow one to exploit  first order\noptimality conditions. We use thi s fact to derive explicit formulae\nfor (i) omega-optimal low rank updatin g of generalized Jacobians\narising in the context of nonsmooth Newton met hods\; and (ii)\nomega-optimal preconditioners of special structure for   iterative\nmethods for linear systems. In the latter context\, we analyze the\nbenefits of omega for (a) improving the clustering of eigenvalues\; ( b)\nreducing the number of iterations\; and (c) estimating the actual\ncon dition of a linear system. Moreover we show strong theoretical\nconnection s between the omega-optimal preconditioners and incomplete\nCholesky facto rizations\, and highlight the misleading effects arising\nfrom the inverse invariance of kappa. Our results confirm the efficacy\nof using the omega -condition number compared to the kappa-condition\nnumber.\n\n(Joint work with: Woosuk L. Jung\, David Torregrosa-Belen.)\n\n \n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c7541286bc DTSTART;TZID=America/Toronto:20250626T130000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250626T143000 URL:/combinatorics-and-optimization/events/co-reading-g roup-jacob-skitsko-3 SUMMARY:C&O Reading Group -Jacob Skitsko CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE: Fault Tolerant Routing and High Dimensional Expanders\n\nSPEAKER:\n Jacob Skitsko\n\nAFFILIATION:\n University of Wat erloo\n\nLOCATION:\n MC 6029\n\nABSTRACT: We will go over some recent resu lts about fault tolerant\nrouting from Bafna\, Minzer\, Vyas. Two parallel series of works from\nthe last few years from Bafna\, Lifshitz\, Minzer\, Vyas as well as\nDikstein\, Dinur\, Lubotzky has led to size efficient PC Ps by using high\ndimensional expanders. We will comment on the context fo r these works\,\nand briefly go over some high level ideas. Then\, we will talk about an\napplication to fault tolerant rounding. The goal in this p roblem is to\ndesign a sparse network supporting efficient fault tolerant\ ninteractions between all pairs of nodes. Using the size efficient PCP\nco nstruction\, Bafna and Minzer gave a construction of constant degree\nnetw orks with efficient protocols that tolerate a constant fraction of\nadvers arial edge faults.\n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c7541297ed DTSTART;TZID=America/Toronto:20250626T143000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250626T153000 URL:/combinatorics-and-optimization/events/algebraic-an d-enumerative-combinatorics-seminar-leo-jiang SUMMARY:Algebraic and enumerative combinatorics seminar-Leo Jiang CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:Oriented graded Möbius algebras\n\nSpeaker\n Leo Jiang\n\nAffiliation\n University of Toronto\n\nLocation\n MC 5479\n\ nABSTRACT:The graded Möbius algebra B(M) of a matroid M contains much\nco mbinatorial information about the flats of M. Its algebraic\nproperties we re instrumental in the proof of the Dowling—Wilson\ntop-heavy conjecture . We will introduce a skew-commutative analogue\nOB(M) associated to every oriented matroid M\, and discuss its\nalgebraic structure. This is part o f ongoing work joint with Yu Li.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1:30PM\, \n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c75412a92c DTSTART;TZID=America/Toronto:20250627T153000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250627T163000 URL:/combinatorics-and-optimization/events/tutte-colloq uium-gary-au-0 SUMMARY:Tutte colloquium-Gary Au CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:Worst-case instances of the stable set proble m of graphs for the\nLovász–Schrijver SDP hierarchy\n\nSPEAKER:\n Gary Au\n\nAFFILIATION:\n University of Saskatchewan\n\nLOCATION:\n MC 5501\n\n ABSTRACT:(Based on joint work with Levent Tunçel.)\n\nIn this talk\, we d iscuss semidefinite relaxations of the stable set\nproblem of graphs gener ated by the lift-and-project operator LS_+ (due\nto Lovász and Schrijver) \, and present some of our recent progress on\nthis front. In particular\, we show that for every positive integer k\,\nthe smallest graph with LS_+ -rank k contains exactly 3k vertices. This\nresult is sharp and settles a conjecture posed by Lipták and Tunçel\nfrom 2003.\n\nThe talk will be ac cessible to a general audience\, and does not assume\nany prior knowledge of lift-and-project methods.\n\n \n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c75412c211 DTSTART;TZID=America/Toronto:20250619T130000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250619T143000 URL:/combinatorics-and-optimization/events/co-reading-g roup-nikhil-kumar-1 SUMMARY:C&O Reading Group -Nikhil Kumar CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE: Almost Tight Additive Guarantees for k-Edge -Connectivity\n\nSPEAKER:\n Nikhil Kumar\n\nAFFILIATION:\n University of W aterloo\n\nLOCATION:\n MC 6029\n\nABSTRACT: We consider the k-edge-connect ed spanning subgraph (k-ECSS)\nproblem\, where we are given an undirected graph G = (V\, E) with\nnonnegative edge costs\, and the goal is to find a minimum-cost\nsubgraph H of G that is k-edge-connected\; that is\, there exist at\nleast k edge-disjoint paths between every pair of vertices in H. \n\nFor even k\, we present a polynomial-time algorithm that computes a\n( k−2)-edge-connected subgraph whose cost is at most that of the\nnatural LP relaxation of k-ECSS. I will try to present an overview of\nour algorit hm and analysis\, which is based on the iterative rounding\ntechnique.\n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c75412da7a DTSTART;TZID=America/Toronto:20250620T153000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250620T163000 URL:/combinatorics-and-optimization/events/tutte-colloq uium-sepehr-hajebi SUMMARY:Tutte colloquium-Sepehr Hajebi CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:Complete bipartite induced minors (and treewi dth)\n\nSPEAKER:\n Sepehr Hajebi\n\nAFFILIATION:\n University of À¶Ý®ÊÓÆµ\ n\nLOCATION:\n MC 5501\n\nABSTRACT:I will present a result that describes the unavoidable\ninduced subgraphs of graphs with a large complete biparti te induced\nminor\, and will discuss the connections and applications to b ounding\nthe treewidth in hereditary classes of graphs. If time permits\, I will\nalso sketch some proofs.\n\n Joint work with Maria Chudnovsky and Sophie Spirkl.\n\n \n DTSTAMP:20250708T013249Z END:VEVENT BEGIN:VEVENT UID:686c75412f28e DTSTART;TZID=America/Toronto:20250619T143000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20250619T153000 URL:/combinatorics-and-optimization/events/algebraic-an d-enumerative-combinatorics-seminar-elana SUMMARY:Algebraic and enumerative combinatorics seminar-Elana Kalashnikov CLASS:PUBLIC DESCRIPTION:Summary \n\nTITLE:The Abelian/non-Abelian correspondence and Li ttlewood-Richardson\n\n\nSpeaker\n Elana Kalashnikov\n\nAffiliation\n Univ ersity of À¶Ý®ÊÓÆµ\n\nLocation\n MC 5479\n\nABSTRACT:The Abelian/non-Abeli an correspondence gives rise to a\nnatural basis for the cohomology of fla g varieties\, which - except for\nGrassmannians - is distinct from the Sch ubert basis. I will describe\nthis basis and its multiplication rules\, an d explain how to relate it\nto the Schubert basis for two-step flag variet ies. I will then explain\nhow this leads to new tableaux Littlewood--Richa rdson rules for many\nproducts of Schubert classes. This is joint work (se parately) with Wei\nGu and Linda Chen.\n\nTHERE WILL BE A PRE-SEMINAR PRES ENTING RELEVANT BACKGROUND AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1: 30PM\,\n DTSTAMP:20250708T013249Z END:VEVENT END:VCALENDAR