BEGIN:VCALENDAR VERSION:2.0 PRODID:Custom X-WR-TIMEZONE:America/Toronto BEGIN:VTIMEZONE TZID:America/Toronto X-LIC-LOCATION:America/Toronto BEGIN:DAYLIGHT TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:EDT DTSTART:19700308T020000 RRULE:FREQ=YEARLY;INTERVAL=1;BYDAY=2SU;BYMONTH=3 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:EST DTSTART:19701101T020000 RRULE:FREQ=YEARLY;INTERVAL=1;BYDAY=1SU;BYMONTH=11 END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:mathcal-1@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:Age Structure and DDE Population Models (Xingfu Zou - Western) DTSTART;TZID=America/Toronto:20261001T130000 DTEND;TZID=America/Toronto:20261001T140000 DESCRIPTION:In this talk?I will briefly present two approachs that can help us to derive delay differential equation models for populations with “age” structure with delay accounting for maturation and latency etc. LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-1@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:Regular sequences on the equivariant cohomology of toric varieties (Kumar Shukla - Western) DTSTART;TZID=America/Toronto:20261001T143000 DTEND;TZID=America/Toronto:20261001T153000 DESCRIPTION:We study regular sequences on the equivariant cohomology of toric varieties. We prove a criterion for finding non-regular sequences that realize the syzygy order\, and we conjecture a further criterion for determining which sequences are regular. LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-5@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261005T130000 DTEND;TZID=America/Toronto:20261005T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-5@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:Minimal nilpotent orbits and cluster toric varieties (Yu Li - Notre Dame University) DTSTART;TZID=America/Toronto:20261005T153000 DTEND;TZID=America/Toronto:20261005T163000 DESCRIPTION:I will explain how the coordinate ring of the minimal nilpotent orbit of type A is related to the equivariant cohomology ring of the cluster toric variety of type C via Gröbner degeneration. The main theorem could be viewed as a complementary result of the Hikita conjecture for the minimal nilpotent orbit. This is joint work with Boming Jia. LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-7@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:From Harmonic Analysis on Trees to p-adic AdS/CFT, Part II (Masoud Khalkhali - Western) DTSTART;TZID=America/Toronto:20261007T123000 DTEND;TZID=America/Toronto:20261007T133000 DESCRIPTION:This lecture series approaches p-adic AdS/CFT through the geometry and harmonic analysis of trees. Our guiding theme is the analogy between hyperbolic spaces\, Riemann surfaces\, and their non-Archimedean counterparts. Beginning with homogeneous trees and Cartier’s approach to their harmonic analysis\, we will study the Bruhat–Tits trees associated with a non-Archimedean local field. Its boundary at infinity is canonically identified with G/K and the action on the tree extends the Möbius action on this boundary. This provides a geometric starting point for comparing the Archimedean and non-Archimedean settings. The first part develops the basic dictionary: geodesics and horocycles\, adjacency and Laplace operators\, spherical functions\, and boundary integral representations. Particular emphasis will be placed on the relationship between spectral theory in the interior and function theory on the boundary. We will also examine Schottky uniformization in the classical and non-Archimedean settings\, relating Riemann surfaces and hyperbolic handlebodies to Mumford curves and the quotient graphs that encode their skeletal geometry. These comparisons will illustrate both the power and the limitations of the tree analogy. LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-8@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:Surface Waves of Ideal Fluids in Annular Cylindrical Domains: Asymptotics, Computation, and Stability (Sam Bradford - Western) DTSTART;TZID=America/Toronto:20261008T130000 DTEND;TZID=America/Toronto:20261008T140000 DESCRIPTION:For fluids in annular cylindrical time-dependent domains\, such as blood vessels and ferrofluid jets\, we are interested in studying and computing the waves on the free outer surface. How do they behave under small-wave approximations? What differential equations describe those approximations\, and when do they become unstable? How can we use these approximations to compute these surface waves more efficiently than direct computation of the Euler equations?

We begin with a discussion on the derivation and validity of the coupled integro-differential system (the AFM free-surface formulation) that describes surface waves of ideal fluids in cylindrical domains. Under a small-wave approximation and a quasi-monochromatic ansatz\, we show that ferrofluid jets are governed\, in a certain sense\, by the nonlinear Schrödinger equation. We then discuss an operator-splitting scheme as an efficient and accurate method of computing these waves.

Time permitting\, we may have a short discussion on the regularity and well-posedness of our surface formulation (something I am struggling with)\, as well as future directions.

Keywords: Euler equations\, Dirichlet to Neumann maps\, AFM method\, quasi-monochromatic expansions\, nonlinear Schrodinger equation\, split-step Fourier method. LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-12@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261012T130000 DTEND;TZID=America/Toronto:20261012T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-14@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:From Harmonic Analysis on Trees to p-adic AdS/CFT, Part III (Masoud Khalkhali - Western) DTSTART;TZID=America/Toronto:20261014T123000 DTEND;TZID=America/Toronto:20261014T133000 DESCRIPTION: LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-15@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:Analysis of a two-species discrete competition model assuming a single-cycle maturation delay (Bingyang Cui - Western) DTSTART;TZID=America/Toronto:20261015T130000 DTEND;TZID=America/Toronto:20261015T140000 DESCRIPTION:We introduce and analyze a discrete-time\, two-species competition model that requires one cycle before newborn cohort can contribute to the growth of the population. Our formulation admits all of the outcomes of the classical discrete Lotka-Volterra like competition model:both species die out\; one species wins the competition independent of the initial conditions\; there is a unique coexistence fixed point that is a saddle and the winning species depends on the initial conditions\; or there is a unique coexistence fixed point that is globally asymptotically stable.It also admits two novel bistable regimes. In the first regime\, one stable and one unstable interior fixed point coexist with a stable and unstable boundary fixed point. In the second regime\, the two boundary fixed points are saddles and there are three interior fixed points\; two are attractors and the one in between them is a saddle. Using monotone dynamical systems theory\, we show that every forward orbit converges to some fixed point. In the general case\, where the two species’ parameters need not coincide\, we derive sufficient conditions for extinction\, exclusion\, and unique coexistence.We also establish sufficient conditions for each of the novel bistable regimes to occur provided we know how many interior fixed points exist. In the symmetric case where certain ratios of the parameters of each species are identical\, the first of the bistable regimes is ruled out and we obtain necessary and sufficient conditions for the second case. Finally\, we illustrate each regime with phase portraits and bifurcation diagrams. LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-19@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261019T130000 DTEND;TZID=America/Toronto:20261019T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-20@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:On the Hodge extension of Kähler forms, I (Rasul Shafikov - Western) DTSTART;TZID=America/Toronto:20261020T153000 DTEND;TZID=America/Toronto:20261020T163000 DESCRIPTION:I will discuss the question of extending locally defined Kähler forms on a Stein manifold $X$ to globally defined on $X$ Hodge forms (i.e.\, Kähler forms in the integral cohomology classes). In the first talk I will give a general background on Kähler forms on Stein manifolds and their place in De Rham cohomology. LOCATION:MC 107 END:VEVENT BEGIN:VEVENT UID:mathcal-22@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Rujing Zhao - Western) DTSTART;TZID=America/Toronto:20261022T130000 DTEND;TZID=America/Toronto:20261022T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-22@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Omid Amini - Ecole Polytechnique, Paris) DTSTART;TZID=America/Toronto:20261022T153000 DTEND;TZID=America/Toronto:20261022T163000 DESCRIPTION: LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-26@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261026T130000 DTEND;TZID=America/Toronto:20261026T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-27@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:On the Hodge extension of Kähler forms, II (Rasul Shafikov - Western) DTSTART;TZID=America/Toronto:20261027T153000 DTEND;TZID=America/Toronto:20261027T163000 DESCRIPTION:I will discuss the question of extending locally defined Kähler forms on a Stein manifold $X$ to globally defined on $X$ Hodge forms (i.e.\, Kähler forms in the integral cohomology classes). In the second talk I will outline sufficient conditions for such an extension for a wide class of Stein manifolds and discuss potential counterexamples in the general case. LOCATION:MC 107 END:VEVENT BEGIN:VEVENT UID:mathcal-29@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Andrea Yuming Li - Western) DTSTART;TZID=America/Toronto:20261029T130000 DTEND;TZID=America/Toronto:20261029T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-29@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Benjamin Landon - University of Toronto) DTSTART;TZID=America/Toronto:20261029T153000 DTEND;TZID=America/Toronto:20261029T163000 DESCRIPTION: LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-33@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261102T130000 DTEND;TZID=America/Toronto:20261102T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-36@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Kexin Ma - Western) DTSTART;TZID=America/Toronto:20261105T130000 DTEND;TZID=America/Toronto:20261105T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-40@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261109T130000 DTEND;TZID=America/Toronto:20261109T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-43@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Junqi Liu - Western) DTSTART;TZID=America/Toronto:20261112T130000 DTEND;TZID=America/Toronto:20261112T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-47@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261116T130000 DTEND;TZID=America/Toronto:20261116T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-50@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Manuel Romero - Western) DTSTART;TZID=America/Toronto:20261119T130000 DTEND;TZID=America/Toronto:20261119T140000 DESCRIPTION: LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-54@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261123T130000 DTEND;TZID=America/Toronto:20261123T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-57@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Amjad Mobayed - Western) DTSTART;TZID=America/Toronto:20261126T130000 DTEND;TZID=America/Toronto:20261126T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-61@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261130T130000 DTEND;TZID=America/Toronto:20261130T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-64@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Wanyue Tang - Western) DTSTART;TZID=America/Toronto:20261203T130000 DTEND;TZID=America/Toronto:20261203T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-64@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Colin Crowley - Western) DTSTART;TZID=America/Toronto:20261203T153000 DTEND;TZID=America/Toronto:20261203T163000 DESCRIPTION: LOCATION:MC 108 END:VEVENT BEGIN:VEVENT UID:mathcal-68@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA ( - Western) DTSTART;TZID=America/Toronto:20261207T130000 DTEND;TZID=America/Toronto:20261207T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-71@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Qi Fang - Western) DTSTART;TZID=America/Toronto:20261210T130000 DTEND;TZID=America/Toronto:20261210T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT BEGIN:VEVENT UID:mathcal-78@shafikov.ca DTSTAMP:19980119T070000Z SUMMARY:TBA (Xiaoyu Wang - Western) DTSTART;TZID=America/Toronto:20261217T130000 DTEND;TZID=America/Toronto:20261217T140000 DESCRIPTION: LOCATION:MC 204 END:VEVENT END:VCALENDAR