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DTSTART;TZID=America/Los_Angeles:20231002T161500
DTEND;TZID=America/Los_Angeles:20231002T171500
DTSTAMP:20260506T140326
CREATED:20230912T154332Z
LAST-MODIFIED:20230929T050112Z
UID:3201-1696263300-1696266900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Tin Thien Phan (Los Alamos National Laboratory)
DESCRIPTION:Title: Understanding SARS-CoV-2 viral rebounds with and without treatments. \nAbstract: In most instances\, the characteristics of SARS-CoV-2 mirror the patterns of an acute infection\, with viral load rapidly peaking around 5 days post-infection and subsequently clearing within 2 weeks. However\, some individuals show signs of viral recrudescence of up to 10000 viral RNA copies/mL shortly following viral remission. These instances of viral resurgence\, distinct from long COVID\, are generally resolved within four weeks post-infection and have been observed across varying treatment statuses\, vaccination statuses\, and viral strains. In this presentation\, I will review existing evidence of transient viral rebound and demonstrate that a class of dynamic models that incorporates virus-immune interaction accurately describes transient viral rebound dynamics under different treatment scenarios\, including those untreated. While these models all share a simple structure with a unique globally-asymptomatic-stable disease-free equilibrium\, the most exciting and relevant aspect hides within their transient phase and remains largely unexplored.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-tin-thien-phan-los-alamos-national-laboratory/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231003T121500
DTEND;TZID=America/Los_Angeles:20231003T131000
DTSTAMP:20260506T140326
CREATED:20230901T053808Z
LAST-MODIFIED:20230901T053808Z
UID:3170-1696335300-1696338600@colleges.claremont.edu
SUMMARY:Cellular resolutions of the diagonal and exceptional collections for toric D-M stacks (Reginald Anderson\, CMC)
DESCRIPTION:Beilinson gave a resolution of the diagonal for complex projective space\, which gives a strong\, full exceptional collection of line bundles as a generating set for the derived category of coherent sheaves. Bayer-Popescu-Sturmfels generalized Beilinson’s resolution of the diagonal by giving a cellular resolution of the diagonal for a proper subclass of smooth toric varieties which they called “unimodular.” In joint work with Gabe Kerr\, we extended this resolution of the diagonal to smooth projective toric varieties by showing that the cokernel of Bayer-Popescu-Sturmfels’ resolution is torsion with respect to the irrelevant ideal. In this talk\, we show that Bayer-Popescu-Sturmfels’ resolution yields a strong\, full\, exceptional collection of line bundles for unimodular projective toric surfaces\, and that our extended resolution of the diagonal yields a strong\, full exceptional collection of line bundles for a smooth\, non-unimodular projective toric surface.
URL:https://colleges.claremont.edu/ccms/event/cellular-resolutions-of-the-diagonal-and-exceptional-collections-for-toric-d-m-stacks-reginald-anderson-cmc/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231003T150000
DTEND;TZID=America/Los_Angeles:20231003T160000
DTSTAMP:20260506T140326
CREATED:20231006T052456Z
LAST-MODIFIED:20231006T052910Z
UID:3276-1696345200-1696348800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Julian Chaidez (USC)
DESCRIPTION:Title: Quantum 4-Manifold Invariants Via Trisections \nAbstract: I will describe a new family of potentially non-semisimple invariants for compact a 4-manifold whose boundary is equipped with an open book. The invariant is computed using a trisection\, along with some additional combing data\, and a piece of algebraic data called a Hopf triple. The relationship with other recent works on non-semisimple 4-manifold invariants\, like the work of Costantino-Geer-Patureau-Mirand-Virelizier\, is not yet clear. This talk is based on joint work with Shawn Cui (Purdue) and Jordan Cotler (Harvard).
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-julian-chaidez-usc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231004T161500
DTEND;TZID=America/Los_Angeles:20231004T173000
DTSTAMP:20260506T140326
CREATED:20230927T012451Z
LAST-MODIFIED:20231003T221119Z
UID:3265-1696436100-1696440600@colleges.claremont.edu
SUMMARY:Thinking Inside the Box: A combinatorial approach to Schubert Calculus (Sami H. Assaf\, USC)
DESCRIPTION:Title: Thinking Inside the Box: A combinatorial approach to Schubert Calculus \nSpeaker: Sami H. Assaf\, Department of Mathematics\, University of Southern California \nAbstract: Given 2 lines in the plane\, how many points lie on both? If we rule out the case where the two lines are the same\, and we work in projective space so that parallel lines share the point at infinity\, then the answer is always the same: 1 point of intersection. Suppose instead we’re given 4 lines in space. How many other lines meet all four of those? Schubert asked\, and in some cases answered\, such problems in enumerative geometry in his celebrated treatise in 1879. He argued that when the answer is finite\, it does not depend on the choice of the linear spaces. Attempts to formalize Schubert’s “Principle of Conversation of Number” have led us to modern Schubert calculus and intersection theory\, which has ramifications in geometry\, topology\, combinatorics\, and even string theory. I will survey the history of this field from Schubert to now\, highlighting a partial solution that involves enumerating ways of putting numbers in boxes. \n\n\n\n\n\nSami Assaf is a Professor of Mathematics and a Gabilan Distinguished Professor of Science and Engineering at the University of Southern California. Her fundamental research in combinatorics\, geometry and probability is supported by grants from the National Science Foundation and the Simons Foundation. She has delivered plenary addresses for AMS meetings as well as for the annual Formal Power Series and Algebraic Combinatorics conference. Professor Assaf is recipient of a USC Mentoring Award for Faculty Mentoring Undergraduates\, directs a local Math Circle for elementary school students\, and currently serves as Director of Graduate Studies for the Department of Mathematics where she works to foster a culture of inclusivity\, diversity\, and excellence for all students.
URL:https://colleges.claremont.edu/ccms/event/thinking-inside-the-box-a-combinatorial-approach-to-schubert-calculus-sami-h-assaf-usc/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231007T100000
DTEND;TZID=America/Los_Angeles:20231007T120000
DTSTAMP:20260506T140326
CREATED:20230911T161303Z
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SUMMARY:GEMS October 7th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-october-7th-session/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231009T161500
DTEND;TZID=America/Los_Angeles:20231009T171500
DTSTAMP:20260506T140326
CREATED:20230912T154505Z
LAST-MODIFIED:20231004T015412Z
UID:3202-1696868100-1696871700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Dan Pirjol (Stevens Institute of Technology)
DESCRIPTION:Title: The Hartman-Watson distribution: numerical evaluation and applications in mathematical finance \nAbstract: The Hartman-Watson distribution appears in several problems of applied probability and financial mathematics. Most notably\, it determines the joint distribution of the time-integral of a geometric Brownian motion and its terminal value. A classical result by Yor (1981) expresses it as a one-dimensional integral which is however difficult to evaluate numerically in the region of interest for financial applications. The talk gives an introduction to the HW distribution and presents an asymptotic expansion which can be used for an efficient numerical evaluation. Two applications from mathematical finance are discussed: Asian options pricing in the Black-Scholes model\, and option pricing in the log-normal SABR model.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-dan-pirjol-stevens-institute-of-technology/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231010T150000
DTEND;TZID=America/Los_Angeles:20231010T160000
DTSTAMP:20260506T140326
CREATED:20230915T192038Z
LAST-MODIFIED:20231006T052904Z
UID:3238-1696950000-1696953600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Christopher Perez (Loyola University New Orleans)
DESCRIPTION:Title: Towers and elementary embeddings in total relatively hyperbolic groups \nAbstract: In a remarkable series of papers\, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers. It was later proved by Chloé Perin that if H is an elementarily embedded subgroup (or elementary submodel) of a torsion-free hyperbolic group G\, then G is a tower over H. We prove a generalization of Perin’s result to toral relatively hyperbolic groups using JSJ and shortening techniques.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-christopher-perez-loyola-university-new-orleans/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231011T161500
DTEND;TZID=America/Los_Angeles:20231011T173000
DTSTAMP:20260506T140326
CREATED:20231003T221601Z
LAST-MODIFIED:20231003T221601Z
UID:3273-1697040900-1697045400@colleges.claremont.edu
SUMMARY:Equality Cases of Geometric Inequalities (Igor Pak\, UCLA)
DESCRIPTION:Title: Equality Cases of Geometric Inequalities \nSpeaker: Igor Pak\, Department of Mathematics\, University of California\, Los Angeles \nAbstract: Geometric inequalities go back to antiquity\, and so do their equality cases.  As everyone knows\, the circle is the only case when the isoperimetric inequality is sharp.  But what happens to other geometric inequalities?  Apparently\, as the inequalities become more general\, their equality cases become more cumbersome to state and even harder to prove.  I will give a broad survey of various natural examples\, with an emphasis on discrete inequalities.  I will then explain why the celebrated Alexandrov–Fenchel inequality has intractable equality cases\, what does that mean\, and how this can be established.  The talk is aimed at a general audience.
URL:https://colleges.claremont.edu/ccms/event/equality-cases-of-geometric-inequalities-igor-pak-ucla/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231018T161500
DTEND;TZID=America/Los_Angeles:20231018T173000
DTSTAMP:20260506T140326
CREATED:20231008T000502Z
LAST-MODIFIED:20231012T045933Z
UID:3278-1697645700-1697650200@colleges.claremont.edu
SUMMARY:"Paths in Mathematics After Undergrad" Panel
DESCRIPTION:Stay tuned for more details about this special event!
URL:https://colleges.claremont.edu/ccms/event/social-panel/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231019T161500
DTEND;TZID=America/Los_Angeles:20231019T173000
DTSTAMP:20260506T140326
CREATED:20231011T180523Z
LAST-MODIFIED:20231011T180523Z
UID:3285-1697732100-1697736600@colleges.claremont.edu
SUMMARY:47 Lecture: Moon Duchin on "Rethinking Representation”
DESCRIPTION:DESCRIPTION \nThe Department of Mathematics and Statistics is pleased to announce the next 47 Lecture. Moon Duchin\, Professor of Mathematics and Senior Fellow in the Tisch College of Civic Life at Tufts University\, will give a talk titled “Rethinking Representation.”  Dr. Duchin runs the MGGG Redistricting Lab\, an interdisciplinary group of researchers working on the basic science of democracy.  They helped commissions and state governments collect public feedback and find better redistricting maps around the country in the last cycle\, and Duchin served as an expert in state and federal court cases in Wisconsin\, Pennsylvania\, North Carolina\, South Carolina\, Alabama\, Georgia\, and Texas. \nThe 47 Lecture is an annual public event sponsored by the Department of Mathematics and Statistics at Pomona College. This lecture is free and open to the Claremont Community. For more information\, email the Math Department or call (909) 621-8409. \n\n\n\nCOST\n                                       This lecture is free and open to the Claremont Community.\n\n\n\n\n\n\nEVENT CATEGORIES\nScience/Technology and Society\n\n\nEVENT CONTACT\nWilliam McGuire\n\n\nCONTACT PHONE\n(909) 621-8409\n\n\nCONTACT EMAIL\nwilliam.mcguire@pomona.edu\n\n\nCONTACT EMAIL\nmath@pomona.edu\n\n\nCONTACT PHONE\n909-621-8409
URL:https://colleges.claremont.edu/ccms/event/47-lecture-moon-duchin-on-rethinking-representation/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231023T150000
DTEND;TZID=America/Los_Angeles:20231023T160000
DTSTAMP:20260506T140326
CREATED:20230913T033026Z
LAST-MODIFIED:20231012T154820Z
UID:3215-1698073200-1698076800@colleges.claremont.edu
SUMMARY:History and Philosophy of Mathematics Seminar: Louis Beaugris (Kean University)
DESCRIPTION:A mathematician and all his functions: The untold story of Lucien Hibbert. \nAbstract: Even with his achievements in mathematics\, academia\, politics\, and international affairs\, Lucien Hibbert is nearly unknown\, even in his native land of Haiti. Our aim is to present a biography of him that includes his family ties\, his education\, his PhD thesis\, and his work in government. His friendships with some of the most recognizable French mathematicians and how they contributed to his efforts in higher education in Haiti are also explored.
URL:https://colleges.claremont.edu/ccms/event/history-and-philosophy-of-mathematics-seminar-louis-beaugris-kean-university/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231023T161500
DTEND;TZID=America/Los_Angeles:20231023T171500
DTSTAMP:20260506T140326
CREATED:20230912T154613Z
LAST-MODIFIED:20231023T033921Z
UID:3203-1698077700-1698081300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Evan Rosenman (CMC)
DESCRIPTION:Title:  Recalibration of Predicted Probabilities Using the “Logit Shift”: Why Does It Work\, and When Can It Be Expected to Work Well? \nAbstract: In the context of election analysis\, researchers frequently face the “recalibration problem.” That is: they must reconcile individual-level vote probabilities\, modeled prior to the election\, with vote totals observed in each precinct once the election has taken place. Making these adjustments such that the probabilities match known aggregates\, researchers can obtain better-calibrated estimates of key quantities such as vote preferences among subgroups of the electorate defined by race\, age\, and gender. \nWe provide theoretical grounding for one of the most commonly used recalibration strategies\, known colloquially as the “logit shift.” The logit shift is a heuristic adjustment\, in which a constant correction on the logit scale is found\, such that aggregated predictions match observed totals. \nWe show that the logit shift offers a fast and accurate approximation to a principled\, but computationally impractical adjustment strategy: computing the posterior probabilities\, conditional on the observed totals. After deriving analytical bounds on the quality of the approximation\, we illustrate its accuracy using Monte Carlo simulations. We also discuss scenarios in which the logit shift is less effective at recalibrating predictions: when the totals are available only for highly heterogeneous populations\, and when the original predictions correctly capture the mean of true individual probabilities\, but fail to capture the shape of their distribution.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-evan-rosenman-cmc/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231024T121500
DTEND;TZID=America/Los_Angeles:20231024T131000
DTSTAMP:20260506T140326
CREATED:20231003T045008Z
LAST-MODIFIED:20231003T234122Z
UID:3269-1698149700-1698153000@colleges.claremont.edu
SUMMARY:Deep hole lattices and isogenies of elliptic curves (Lenny Fukshansky\, CMC)
DESCRIPTION:For a lattice L in the plane\, we define the affiliated deep hole lattice H(L) to be spanned by a shortest vector of L and the furthest removed vector from the lattice contained in the triangle with sides corresponding to the shortest basis vectors. We study the geometric and arithmetic properties of deep hole lattices\, which turn out to be quite interesting. In particular\, we construct sequences of deep hole lattices corresponding to elliptic curves over a fixed number field. In the case of CM elliptic curves\, we prove that all elliptic curves generated by this sequence are isogenous to each other and produce bounds on the degree of isogeny. Finally\, we produce a counting estimate for the planar lattices with a prescribed deep hole lattice. Joint work with Pavel Guerzhoy and Tanis Nielsen.
URL:https://colleges.claremont.edu/ccms/event/deep-hole-lattices-and-isogenies-of-elliptic-curves-lenny-fukshansky-cmc/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231024T150000
DTEND;TZID=America/Los_Angeles:20231024T160000
DTSTAMP:20260506T140326
CREATED:20230918T204340Z
LAST-MODIFIED:20231017T231659Z
UID:3245-1698159600-1698163200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Wenyuan Li (USC)
DESCRIPTION:Title: Generating families on Lagrangian cobordisms \nAbstract: An important question in contact topology is to understand Legendrian knots and their relations given by Lagrangian cobordisms. In the contact manifold T*M x R\, an important tool to study Legendrian knots and their Lagrangian cobordisms is called generating families or generating functions\, which are generalizations of the defining functions f of graphical Legendrians of the form {(x\, df(x)\, f(x))}. When there exists a generating family with good control at infinity\, interesting Legendrian invariants can be extracted. We try to understand the following basic question: when can a generating function on the Legendrian knot be extended to the Lagrangian cobordism? We will give a necessary and sufficient condition to the problem for generating families with good control at infinity. In particular\, we show that such an extension always exists in the case of Lagrangian concordances.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-wenyuan-li-usc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231025T161500
DTEND;TZID=America/Los_Angeles:20231025T173000
DTSTAMP:20260506T140326
CREATED:20231020T212712Z
LAST-MODIFIED:20231020T212712Z
UID:3296-1698250500-1698255000@colleges.claremont.edu
SUMMARY:What is a moduli space? (Javier Gonzalez Anaya\, HMC)
DESCRIPTION:Title: What is a moduli space? \nSpeaker: Javier Gonzalez Anaya\, Department of Mathematics\, Harvey Mudd College \nAbstract: A natural endeavour in mathematics is to classify objects according to their properties. For example\, we can readily identify straight lines in the plane\, or recognize different kinds of triangles depending on their symmetries. Less intuitive\, however\, is that given a class of mathematical objects\, it is often possible to construct a geometric space parametrizing those objects. Known as “moduli spaces”\, the study of these spaces has been a major driving force of modern geometry. In this talk we will explore some of the main ideas behind moduli theory through examples\, ranging from the moduli space of lines in the plane to the one of points on the sphere. We will finish by discussing our ongoing research on the moduli space of points in d-dimensional space. \n\n\n\n\n\nJavier González Anaya\, PhD\, is an algebraic geometer specializing in the study of combinatorial structures and finite generation problems within the field of birational geometry. His research extends to areas such as the theory of polytopes and machine learning. Currently\, he holds a position as a visiting assistant professor at Harvey Mudd College\, having previously served in a similar role at UC Riverside. Beyond his research\, Javier is a committed educator and mentor\, having overseen student research projects and taught an extensive range of courses.
URL:https://colleges.claremont.edu/ccms/event/what-is-a-moduli-space-javier-gonzalez-anaya-hmc/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231030T161500
DTEND;TZID=America/Los_Angeles:20231030T173000
DTSTAMP:20260506T140326
CREATED:20231019T153510Z
LAST-MODIFIED:20231023T034142Z
UID:3292-1698682500-1698687000@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Jeremy Brandman (DCS corporation)
DESCRIPTION:Title \nControl algorithms for unmanned underwater vehicles: new approaches based on Hamilton-Jacobi equations and reinforcement learning. \nAbstract \nUnmanned underwater vehicles (UUVs) are defined by their ability to operate without direct human intervention.  As a result\, UUVs are valuable for surveillance tasks\, especially in the presence of hazardous environmental conditions. Specific applications of UUVs include seafloor mapping\, mine detection\, and oil pipeline inspection. \nIn this talk\, we propose new algorithms for two aspects of UUV control: path planning and vehicle guidance.  Path planning identifies a vehicle trajectory\, based on anticipated environmental conditions\, that achieves desired mission objectives (e.g. obstacle avoidance\, minimization of energy consumption). Vehicle guidance responds to observed environmental conditions in order to maintain fidelity to the path selected by the path planner. \nThe first half of this talk considers a new approach to path planning based on solving Hamilton-Jacobi partial differential equations (PDE).  The starting point for this method is the observation that the vehicle’s minimum travel-time satisfies a time-independent Hamilton-Jacobi equation .  Numerical solutions to this PDE are efficiently computed using the fast sweeping method.  Our approach is validated through several examples for which optimal trajectories are derived using the calculus of variations. \nThe second half of this talk introduces a reinforcement learning framework for incorporating in situ ocean current measurements into the guidance system in an energetically optimal manner.  Scaling and symmetry considerations turn out to play an important role in the framework’s efficiency and robustness.  Numerical results demonstrate that the energetic cost of transits executed under the guidance of a trained agent approaches optimal performance.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jeremy-brandman/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231031T121500
DTEND;TZID=America/Los_Angeles:20231031T131000
DTSTAMP:20260506T140326
CREATED:20230921T041133Z
LAST-MODIFIED:20231013T160601Z
UID:3248-1698754500-1698757800@colleges.claremont.edu
SUMMARY:On the spectra of syntactic structures (Isabella Senturia\, Yale University)
DESCRIPTION:We explore the application of spectral graph theory to the problem of characterizing linguistically-significant classes of tree structures. We focus on various classes of syntactically-defined tree graphs\, and show that the spectral properties of different matrix representations of these classes of trees provide insight into the linguistic properties that characterize these classes. More generally\, our goal is to provide another route to understanding the mathematical structure of natural language\, one that does not come from extensive definitions and rules defined via linguistic extrapolation\, but instead is extracted directly from computation on the syntactically-defined graphical structures.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-via-zoom-isabella-senturia-yale-university/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231031T150000
DTEND;TZID=America/Los_Angeles:20231031T160000
DTSTAMP:20260506T140326
CREATED:20230918T204526Z
LAST-MODIFIED:20231030T204415Z
UID:3246-1698764400-1698768000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Konstantinos Varvarezos (UCLA)
DESCRIPTION:Title: Cosmetic Surgeries on Knots and Heegaard Floer Homology \nAbstract: A common method of constructing 3-manifolds is via Dehn surgery on knots. A pair of surgeries on a knot is called purely cosmetic if the resulting 3-manifolds are homeomorphic as oriented manifolds\, whereas it is said to be chirally cosmetic if they result in homeomorphic manifolds with opposite orientations. An outstanding conjecture predicts that no nontrivial knots admit any purely cosmetic surgeries. We apply certain obstructions from Heegaard Floer homology to show that (nontrivial) knots which arise as the closure of a 3-stranded braid do not admit any purely cosmetic surgeries. Furthermore\, we find new obstructions to the existence of chirally cosmetic surgeries coming from Heegaard Floer homology; in particular\, we make use of immersed curve formulations of knot Floer homology and the corresponding surgery formula. Combining these with other obstructions involving finite type invariants\, we completely classify chirally cosmetic surgeries on odd alternating pretzel knots. Moreover\, we rule out cosmetic surgeries for L-space knots along slopes with opposite signs.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-konstantinos-varvarezos-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
END:VCALENDAR