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DTSTART;TZID=America/Los_Angeles:20240422T161500
DTEND;TZID=America/Los_Angeles:20240422T173000
DTSTAMP:20260502T110703
CREATED:20240421T181538Z
LAST-MODIFIED:20240421T181538Z
UID:3442-1713802500-1713807000@colleges.claremont.edu
SUMMARY:İrma Hacınlıyan (Istanbul Technical University)
DESCRIPTION:Title: On Nonlinear Schrödinger Type Equations: Wave Modulation and Mathematical Analysis \nAbstract: The nonlinear Schrödinger (NLS) equation describes the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear dispersive media. The NLS equation with soliton solutions is one of the significant and widely pursued research areas on the nonlinear wave motions. Sub-studies on such evolution equations include derivations of those equations; finding exact solutions and developing methods for these; studies of the analytic and geometric structure of the equations as integrable systems; singularities and collapses of solutions; analyzing modulation equations by dynamical systems methods; and related subjects. In this talk\, nonlinear modulation of waves propagating in a generalized elastic solid according to different physical scenarios will be discussed. Properties of the solutions of NLS-type equations that are derived using the reductive perturbation method will be examined by mathematical analysis methods.
URL:https://colleges.claremont.edu/ccms/event/irma-hacinliyan-istanbul-technical-university/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240423T121500
DTEND;TZID=America/Los_Angeles:20240423T131000
DTSTAMP:20260502T110703
CREATED:20240326T205445Z
LAST-MODIFIED:20240326T205445Z
UID:3419-1713874500-1713877800@colleges.claremont.edu
SUMMARY:Clocks\, parking garages\, and the solvability of the quintic: a friendly introduction to monodromy (Edray Goins\, Pomona College)
DESCRIPTION:Imagine the hands on a clock.  For every complete the minute hand makes\, the seconds hand makes 60\, while the hour hand only goes one twelfth of the way.   We may think of the hour hand as generating a group such that when we “move” twelve times then we get back to where we started.  This is the elementary concept of a monodromy group. In this talk\, we give a gentle introduction to a historical mathematical concept which relates calculus\, linear algebra\, differential equations\, and group theory into one neat theory called “monodromy”.  We explore lots of real world applications\, including why it’s so easy to get lost in parking garages\, and present some open problems in the field.  We end the talk with a discussion of how this is all related to solving polynomial equations\, such as Abel’s famous theorem on the insolubility of the quintic by radicals.
URL:https://colleges.claremont.edu/ccms/event/clocks-parking-garages-and-the-solvability-of-the-quintic-a-friendly-introduction-to-monodromy-edray-goins-pomona-college/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20240423T150000
DTEND;TZID=America/Los_Angeles:20240423T160000
DTSTAMP:20260502T110703
CREATED:20240128T230859Z
LAST-MODIFIED:20240414T234902Z
UID:3368-1713884400-1713888000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Joe Breen (University of Iowa)
DESCRIPTION:We especially welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Joe Breen (University of Iowa) \nTitle: Open books in all dimensions \nAbstract: I will discuss recent work (joint with K. Honda and Y. Huang) on establishing a relationship\, first discovered by Giroux\, between “contact structures” and “open books”. This relationship has been widely used in 3-dimensional contact topology\, and mathematicians are beginning to investigate the consequences in higher-dimensional contact topology. No background knowledge of contact topology or open book decompositions will be assumed. I will even motivate why higher-dimensional contact topology could be useful for questions in low-dimensional topology.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-joe-breen-university-of-iowa/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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DTSTART;TZID=America/Los_Angeles:20240425T163000
DTEND;TZID=America/Los_Angeles:20240425T173000
DTSTAMP:20260502T110703
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
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