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DTSTART;TZID=America/Los_Angeles:20231023T150000
DTEND;TZID=America/Los_Angeles:20231023T160000
DTSTAMP:20260607T130444
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
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231023T161500
DTEND;TZID=America/Los_Angeles:20231023T171500
DTSTAMP:20260607T130444
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
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231024T121500
DTEND;TZID=America/Los_Angeles:20231024T131000
DTSTAMP:20260607T130444
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
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231024T150000
DTEND;TZID=America/Los_Angeles:20231024T160000
DTSTAMP:20260607T130444
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:20260607T130444
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
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