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DTSTART;TZID=America/Los_Angeles:20241031T163000
DTEND;TZID=America/Los_Angeles:20241031T173000
DTSTAMP:20260501T132803
CREATED:20241028T024048Z
LAST-MODIFIED:20241028T024048Z
UID:3591-1730392200-1730395800@colleges.claremont.edu
SUMMARY:Analysis Seminar: Exceptional Sets for Divergent Fourier Series (Prof. Michael O'Neill (CMC))
DESCRIPTION:Title: Exceptional Sets for Divergent Fourier Series \nAbstract: A survey of some old and newer results on divergent Fourier series with some comments on how they relate to undergraduate analysis courses and (time permitting) leading to a brief discussion of\nan open question on the size of exceptional sets in divergence examples and some progress on it.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-exceptional-sets-for-divergent-fourier-series-prof-michael-oneill-cmc/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241010T163000
DTEND;TZID=America/Los_Angeles:20241010T173000
DTSTAMP:20260501T132803
CREATED:20241001T041228Z
LAST-MODIFIED:20241001T042229Z
UID:3563-1728577800-1728581400@colleges.claremont.edu
SUMMARY:Analysis Seminar: Domains of Quantum Metrics on AF algebras (Katrine von Bornemann Hjelmborg\, University of Southern Denmark (SDU))
DESCRIPTION:Title: Domains of Quantum Metrics on AF algebras \nAbstract: Given a compact quantum metric space (A\, L)\, we prove that the domain of L coincides with A if and only if A is finite-dimensional. Intuitively\, this should allow for different quantum metrics with distinct domains when A is infinite-dimensional\, and we show how to explicitly build such quantum metrics. Lastly\, we also provide a strategy for the calculation of distance between certain states in these quantum metrics in the special cases of the quantized interval and the Cantor space. This is joint work with Konrad Aguilar and Frédéric Latrémolière.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-domains-of-quantum-metrics-on-af-algebras-katrine-von-bornemann-hjelmborg-university-of-southern-denmark-sdu/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20241003T163000
DTEND;TZID=America/Los_Angeles:20241003T173000
DTSTAMP:20260501T132803
CREATED:20240917T032244Z
LAST-MODIFIED:20240923T201847Z
UID:3514-1727973000-1727976600@colleges.claremont.edu
SUMMARY:Analysis seminar: Stephan Ramon Garcia (Pomona College)
DESCRIPTION:Title: What can chicken McNuggets tell us about symmetric functions\, positive polynomials\, random norms\, and AF algebras? \nAbstract: Numerical semigroups are combinatorial objects that lead to deep and subtle questions. With tools from complex\, harmonic\, and functional analysis\, probability theory\, algebraic combinatorics\, and computer-aided design\, we answer virtually all asymptotic questions about factorization lengths in numerical semigroups. Our results yield uncannily accurate predictions\, along with unexpected results about symmetric functions\, trace polynomials\, and the statistical properties of certain AF C∗-algebras. \nWork partially supported by NSF Grants DMS-1800123 and DMS-2054002. Joint work (in various combinations) with K. Aguilar\, A. Böttcher\, L. Bouthat\, Á. Chávez\, L. Fukshansky\, M. Mitkovski\, M. Omar\, C. O’Neill\, J. Volčič and students A. Chhabra\, J. Hurley\, G. Udell\, T. Wesley\, and S. Yih.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-stephan-ramon-garcia-pomona-college/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240425T163000
DTEND;TZID=America/Los_Angeles:20240425T173000
DTSTAMP:20260501T132803
CREATED:20240421T162245Z
LAST-MODIFIED:20240421T162245Z
UID:3440-1714062600-1714066200@colleges.claremont.edu
SUMMARY:Analysis seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Review of differential geometry\n\nAbstract: 1. Given the embedding of a sphere of radius rho centered at the origin of \R^3 from spherical coordinates\, what is the pullback of the flat metric in \R^3? i.e.\, what is the “round metric” on the 2-sphere of radius rho? 2. If we impose a complex structure on S^2 via identifying charts in \R^2 with \C\, what does the round metric on the unit sphere look like in a complex coordinate?\n\nIf time allows\, we can also cover the following: 3. Christoffel symbols describe the (torsion free\, Levi-Civita) connection on the (tangent bundle of a) Riemannian manifold. These are described in terms of the metric via raising and lowering indices. 4. Geodesics record the notion of “straight lines” in a Riemannian manifold. What does it mean for velocity vectors to be transported in parallel to a path\, in terms of its parametrization and Christoffel symbols?
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-reginald-anderson-cmc/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240404T163000
DTEND;TZID=America/Los_Angeles:20240404T173000
DTSTAMP:20260501T132803
CREATED:20240401T023637Z
LAST-MODIFIED:20240401T023637Z
UID:3430-1712248200-1712251800@colleges.claremont.edu
SUMMARY:Analysis seminar: Shanna Dobson (UCR)
DESCRIPTION:Title: The Chronicles of Fractal Geometry: Fractal Strings\, and Functorial Harps \nAbstract: In this talk\, we explore the colorful analytical world of fractal geometry. We introduce fractal strings in the sense of Lapidus\, both intuitively and by way of rigorous constructions. We examine rich illustrations of higher dimensional fractals and p-adic fractal strings. Then\, we use artistic dimensions to postule new mathematical definitions; namely\, universal properties of fairy tales. We propose a new categorical definition of fractal strings. We conclude with our conjectures on categorical p-adic fractal strings\, which I call functorial harps.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-shanna-dobson-ucr/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240328T163000
DTEND;TZID=America/Los_Angeles:20240328T173000
DTSTAMP:20260501T132803
CREATED:20240324T163045Z
LAST-MODIFIED:20240324T163045Z
UID:3413-1711643400-1711647000@colleges.claremont.edu
SUMMARY:Analysis seminar: Therese Basa Landry (UCSB)
DESCRIPTION:Title: Developments in Noncommutative Fractal Geometry\n\nAbstract:  As a noncommutative fractal geometer\, I look for new expressions of the geometry of a fractal through the lens of noncommutative geometry.  At the quantum scale\, the wave function of a particle\, but not its path in space\, can be studied.  Riemannian methods often rely on smooth paths to encode the geometry of a space.  Noncommutative geometry generalizes analysis on manifolds by replacing this requirement with operator algebraic data.  These same “point-free” techniques can also be used to study the geometry of classically pathological spaces like fractals.  The 2016 Nobel Prize in Physics was awarded for work on Hofstadter’s butterfly\, which is a fractal that describes for theoretical condensed matter physicists the allowed energy levels for electrons confined to a crystalline atomic lattice as a function of the magnetic field applied to the system.  By expanding the formalism of fractal geometry to include the mathematical language of quantum theory\, developments in noncommutative fractal geometry can give both mathematicians and physicists the tools to gain insights about quantum behaviors in solids and any new materials made possible by these phenomena.  Other directions in noncommutative fractal geometry will also be discussed.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-therese-basa-landry-ucsb/
LOCATION:Estella 2131\, Pomona College\, 610 N College Ave\, Claremont\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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