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:20261101T060000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:6ae8b8cbe7c57 DTSTART;TZID=America/Toronto:20261110T100000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261110T110000 URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-sour abhashis-das-prime-gaps-arithmetic SUMMARY:Number Theory Seminar | Sourabhashis Das | Prime Gaps in Arithmetic \nProgressions Are Graphic CLASS:PUBLIC DESCRIPTION:SOURABHASHIS DAS (UNIVERSITY OF LETHBRIDGE)\n\n_Prime Gaps in A rithmetic Progressions Are Graphic_ \n\nA sequence of positive integers is called _graphic_ if it arises as\nthe degree sequence of a simple graph. In this talk\, we explore a\nsurprising connection between this classical graph-theoretic notion\nand the distribution of primes. \nLet us call a si mple graph on \\(n \\geq 2\\) vertices a _prime gap\ngraph_ if its vertex degrees are \\(1\\) and the first \\(n-1\\) prime\ngaps. Growing out of an empirical observation by Toroczkai\, he and his\ncollaborators establishe d that a prime gap graph exists for every\nsufficiently large \\(n\\)\, an d for every \\(n \\geq 2\\) under the Riemann\nHypothesis\, and that an in finite sequence of such prime gap graphs can\nbe generated via the degree- preserving growth process---the first\nnaturally occurring infinite sequen ce of positive integers identified\nas graphic. \nIn this talk\, we extend these results to prime gaps in arithmetic\nprogressions. Specifically\, w e show that the gap sequences formed by\nconsecutive primes in a fixed pro gression \\(a \\pmod{q}\\)\, with\n\\(\\gcd(a\,q)=1\\)\, are likewise grap hic. The analytical tools required\nstem from Heath-Brown's work on boundi ng moments of large prime gaps.\nWe demonstrate these tools in the context of primes in arithmetic\nprogressions and explain how they drive our proo f. \nThis is joint work with Keshav Aggarwal and is a work in progress. \n MC 5501 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbe9a41 DTSTART;TZID=America/Toronto:20261105T133000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261105T150000 URL:https://uwaterloo.ca/pure-mathematics/events/computability-learning-sem inar-beining-mu-jump-structure-iv SUMMARY:Computability Learning Seminar | Beining Mu | Jump of a structure I V CLASS:PUBLIC DESCRIPTION:BEINING MU (UNIVERSITY OF WATERLOO) \n_Jump of a structure IV_ \nWe will continue working with the jump inversion theorem for\nstructures . \nMC 5403 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbeac93 DTSTART;TZID=America/Toronto:20261103T143000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261103T160000 URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work ing-seminar-faisal-romshoo-flows SUMMARY:Differential Geometry Working Seminar | Faisal Romshoo | Flows of\n positive triples CLASS:PUBLIC DESCRIPTION:FAISAL ROMSHOO (UNIVERSITY OF WATERLOO) \n\n_Flows of positive triples_ \nWe will discuss positive triples on a 4-manifold and the\nrepre sentation theory that arises from these structures. I will also\naim to ta lk about the notion of an \"isometric flow\" of positive\ntriples\, which will be a negative gradient flow of a natural energy\nfunctional restricte d to the \"isometric class\" of positive triples. \nMC 5417 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbebbbd DTSTART;TZID=America/Toronto:20261105T150000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261105T160000 URL:https://uwaterloo.ca/pure-mathematics/events/model-theory-seminar-rahim -moosa-around-wild-automorphism SUMMARY:Model Theory Seminar | Rahim Moosa | Around the wild automorphism\n conjecture CLASS:PUBLIC DESCRIPTION:RAHIM MOOSA (UNIVERSITY OF WATERLOO)\n\n_Around the wild automo rphism conjecture_\n\nThe wild automorphism conjecture\, of Reichstein\, R ogalski\, and Zhang\nfrom 2006\, proposes that if a projective algebraic v ariety X (in\ncharacteristic zero) admits an automorphism that leaves no p roper\nsubvariety invariant then X is an abelian variety. I will discuss\n recent work with Jason Bell where we use tools from the model theory\nof d ifference fields (developed last year by Moshe Kamensky and I) to\nresolve the “compound fundamental isotrivial” case. I will also\ngive a count erexample to the naive nonautonomous generalisation of the\nconjecture\, e xhibiting some of the difficulties in applying a\nmodel-theoretic analysis .\n\nMC 5403 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbed0e0 DTSTART;TZID=America/Toronto:20261105T153000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261105T163000 URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi nar-cameron-krulewski-invertible SUMMARY:Geometry and Topology Seminar | Cameron Krulewski | Invertible Fiel d\nTheories and the Bott Spiral CLASS:PUBLIC DESCRIPTION:CAMERON KRULEWSKI (PERIMETER INSTITUTE)\n\n_Invertible Field Th eories and the Bott Spiral_\n\nSymmetry-protected topological phases of ma tter (SPTs) admit\ndescriptions in terms of homotopy theory. Freed--Hopkin s defined\n\"free-to-interacting maps\" to model the physical process of c omparing\nfree fermion SPTs (classified by K-theory) with more general\,\n interacting models (classified by certain invertible functorial field\nthe ories). With Debray and Stehouwer\, we generalized this approach to\nstudy the \"Bott spiral\" of SPTs constructed by Queiroz--Khalaf--Stern.\nAfter reviewing the homotopical classification of invertible field\ntheories\, I will discuss our construction and some subtleties that\narise in definin g free-to-interacting maps\, such as compatibility with\ndimensional reduc tion\, continuous versus discrete symmetry types\, and\nthe lack of intera cting Morita invariance.\n\nMC 5417 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbee286 DTSTART;TZID=America/Toronto:20261105T130000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261105T140000 URL:https://uwaterloo.ca/pure-mathematics/events/student-number-theory-semi nar-julius-frizzell-lehmers SUMMARY:Student Number Theory Seminar | Julius Frizzell | Lehmer's Conjectu re\nand Related Problems CLASS:PUBLIC DESCRIPTION:JULIUS FRIZZELL (UNIVERSITY OF WATERLOO)\n\n_Lehmer's Conjectur e and Related Problems_\n\nThe Mahler measure of a polynomial is the produ ct of the moduli of\nit's roots lying outside the unit disk. Lehmer's conj ecture says that\,\namong polynomials with integer coefficients that are n ot cyclotomic\,\nthere exists a polynomial with minimal Mahler measure. We will discuss\nthe history and original motivation behind Lehmer's problem and the\nknown partial results. We will also look at other problems relat ed to\nMahler measure\, such as questions arising from looking at the divi sors\nof Newman polynomials.\n\nMC 5479 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbef1ea DTSTART;TZID=America/Toronto:20261106T133000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261106T143000 URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi nar-jesse-madnick-morse-index SUMMARY:Geometry and Topology Seminar | Jesse Madnick | The Morse index of\ nquartic minimal hypersurfaces CLASS:PUBLIC DESCRIPTION:JESSE MADNICK (SETON HALL UNIVERSITY)\n\n_The Morse index of qu artic minimal hypersurfaces_\n\nGiven a minimal hypersurface S in a round sphere\, its Morse index is\nthe number of variations that are area-decrea sing to second order. In\npractice\, computing the Morse index of a given minimal hypersurface is\nextremely difficult\, requiring detailed informat ion about the Laplace\nspectrum of S. Indeed\, even for the simplest case in which S is\nhomogeneous\, the Morse index of S is not known in general. \nIn this talk\, we compute the Morse index of two such minimal\nhypersur faces. Moreover\, we observe that their spectra contain both\ninteger eige nvalues as well as (irrational) eigenvalues that are not\nexpressible in r adicals. This is joint work with Gavin Ball (Missouri)\nand Uwe Semmelmann (Stuttgart). \nMC 5403 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbf00bf DTSTART;TZID=America/Toronto:20261109T143000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261109T153000 URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-colloquium-kumar -murty-motives-periods-and SUMMARY:Pure Math Colloquium | Kumar Murty | Motives\, periods and Catalan' s\nconstant CLASS:PUBLIC DESCRIPTION:KUMAR MURTY (UNIVERSITY OF TORONTO)\n\n_Motives\, periods and C atalan's constant_\n\nThere is a fundamental view that the constants that repeatedly arise\nin number theory should either be special values of L-fu nctions\, or\nperiods of algebraic varieties (or more generally\, of motiv es)\, and\nusually both.We will describe this view with examples\, includi ng\nrecent work with Payman Eskandari and Yusuke Nemoto on Catalan's\ncons tant. \nMC 5501 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbf10d0 DTSTART;TZID=America/Toronto:20261029T153000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261029T163000 URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi nar-dylan-galt-dimension-reduction SUMMARY:Geometry and Topology Seminar | Dylan Galt | Dimension Reduction an d\nAdiabatic Limits of Generalized ASD Instantons CLASS:PUBLIC DESCRIPTION:DYLAN GALT (HARVARD UNIVERSITY) \n\n_Dimension Reduction and Ad iabatic Limits of Generalized ASD\nInstantons_ \nI will describe ongoing j oint work with Langte Ma constructing\ngeneralized anti-self-dual (ASD) in stantons over product manifolds. In\na previous paper\, we used an integra bility theorem to describe the\nmoduli space of generalized anti-self-dual instantons over product\nmanifolds when the bundle is a pullback\, genera lizing results of\nYuanqi Wang. I will begin by describing this theorem. T hen\, I will\nexplain ongoing work on an adiabatic limit construction to g ive\nexamples of generalized ASD instantons over non-pullback bundles. The \nanalysis draws on techniques developed by Dostolgu and Salamon and the\n results are intended to complement our previous work on dimension\nreducti on. Throughout\, I will discuss applications of our work to\nmotivating ex amples from special holonomy. \nMC 5417 DTSTAMP:20261102T162235Z END:VEVENT BEGIN:VEVENT UID:6ae8b8cbf1b1a DTSTART;TZID=America/Toronto:20261103T100000 SEQUENCE:0 TRANSP:TRANSPARENT DTEND;TZID=America/Toronto:20261103T110000 URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-jerr y-wang-counting-a4-quartics SUMMARY:Number Theory Seminar | Jerry Wang | Counting A_4-quartics by\ndisc riminant CLASS:PUBLIC DESCRIPTION:JERRY WANG (UNIVERSITY OF WATERLOO)\n\n_Counting \\(A_4\\)-quar tics by discriminant_ \nAn \\(A_4\\)-quartic is a degree 4 extension of Q whose Galois closure\nhas Galois group \\(A_4\\). They are the last remain ing quartic fields\nfor which we didn't have an asymptotic counting formul a. In this joint\nwork with Stanley Xiao\, we prove that the the number of \n\\(A_4\\)-quartics of discriminant at most \\(X\\) is\n\\(\\kappa_{A_4}X ^{1/2}\\log X + O_\\epsilon(X^{1/2}(\\log\\log\nX)^{3+\\epsilon})\\)) wher e \\(\\kappa_{A_4}\\) is an explicit constant\nwith an Euler product expan sion. \nMC 5501 DTSTAMP:20261102T162235Z END:VEVENT END:VCALENDAR