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X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221024T150000
DTEND;TZID=America/Los_Angeles:20221024T160000
DTSTAMP:20260511T131614
CREATED:20221014T173109Z
LAST-MODIFIED:20221014T173109Z
UID:2961-1666623600-1666627200@colleges.claremont.edu
SUMMARY:H.S.M. Coxeter’s Theory of Accessibility: A Narrative in the Language of Synthetic Projective Geometry (Elena Marchisotto\, Cal State Northridge)
DESCRIPTION:The relation of accessible points in a projective incidence plane defined by Coxeter in the 1960s is the focus of my narrative. It reveals historical pathways bookending the 19th and 20th centuries that bring G.K.C. von Staudt\, Mario Pieri\, Marvin Greenberg and others into the conversation. The published references to Coxeter’s theory\, including his own\, are few. Were it not for his letter to me in the 1980s\, the myriad of interesting mathematical and historical connections emanating from it might have remained in the shadows. My narrative will address how accessible points behave in different types of projective planes partitioned in terms interior/exterior points of conics. Its language pays homage to the invention of geometry\, and shows what can be gained from the power of synthetic methods. \nReferences: \nPambuccian\, V. and Schacht\, C.: The case for the irreducibility of geometry to algebra. Philos. Math. (III) 30\, 1–31 (2022). https://academic.oup.com/philmat/article-abstract/30/1/1/6371269?redirectedFrom=fulltext \nMarchisotto\, E.A. C.: H.S.M. Coxeter’s Theory of Accessibility: From Mario Pieri to Marvin Greenberg. Results in Mathematics 77(5)\, 1-61 (July 2022). DOI: 10.1007/s00025-022-01690-9
URL:https://colleges.claremont.edu/ccms/event/h-s-m-coxeters-theory-of-accessibility-a-narrative-in-the-language-of-synthetic-projective-geometry-elena-marchisotto-cal-state-northridge/
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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DTSTART;TZID=America/Los_Angeles:20221024T161500
DTEND;TZID=America/Los_Angeles:20221024T171500
DTSTAMP:20260511T131614
CREATED:20220929T220052Z
LAST-MODIFIED:20220929T220052Z
UID:2818-1666628100-1666631700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Susan Friedlander (USC)
DESCRIPTION:Title: Kolmogorov\, Onsager and a Dyadic Model for Turbulence \nAbstract: We will briefly review Kolmogorov’s ( 41) theory of homogeneous turbulence\nand Onsager’s ( 49 ) conjecture that in 3-dimensional turbulent flows energy\ndissipation might exist even in the limit of vanishing viscosity. \nAlthough over the past 70 years there is a vast body of literature related to this subject\,\nat present there is no rigorous mathematical proof that the solutions to the Navier-Stokes\nequations yield Kolmogorov’s laws. For this reason various models have been introduced\nthat are more tractable but capture some of the essential features of the Navier-Stokes\nequations themselves. We will discuss one such dyadic model for turbulent energy cascades.\nWe will describe how results can be used to prove this dyadic model is consistent with\nKolmogorov’s theory and Onsager’s conjecture. \nAspects of the work are joint with Alexey Cheskidov\, Nathan Glatt-Holtz\, Roman Shvydkoy\, and Vlad Vicol.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-susan-friedlander-usc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221025T121500
DTEND;TZID=America/Los_Angeles:20221025T131000
DTSTAMP:20260511T131614
CREATED:20220906T160323Z
LAST-MODIFIED:20221012T181637Z
UID:2834-1666700100-1666703400@colleges.claremont.edu
SUMMARY:Properties of redistricting Markov chains (Sarah Cannon\, CMC)
DESCRIPTION:Markov chains have become widely-used to generate random political districting plans. These random districting plans can be used to form a baseline for comparison\, and any proposed districting plans that differ significantly from this baseline can be flagged as potentially gerrymandered. However\, very little is rigorously known about these Markov chains – Are they irreducible? What is their mixing time? For some\, even the stationary distribution remains unknown. I will present recent work that answers some of these questions\, which uses tools from probability\, computational geometry\, and more.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sarah-cannon-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221026T161500
DTEND;TZID=America/Los_Angeles:20221026T173000
DTSTAMP:20260511T131614
CREATED:20220830T231139Z
LAST-MODIFIED:20220928T195647Z
UID:2806-1666800900-1666805400@colleges.claremont.edu
SUMMARY:Frequentist Model Averaging in the Generalized  Multinomial Logit Model  (Prof. Tonia Zeng)
DESCRIPTION:Title: Frequentist Model Averaging in the Generalized Multinomial Logit Model \nSpeaker: Tonia Zeng\, Applied Business Sciences and Economics\, University of La Verne \nAbstract: The generalized multinomial logit (GMNL) model accommodates scale heterogeneity to the random parameters logit (RPL) model. It has been often used to study people’s preferences and predict people’s decisions in many areas\, such as health economics\, marketing\, agricultural studies\, transportation research and public policy. However\, there are few works studying the efficiency of this model estimator and the corresponding estimation and prediction risks. In this paper\, we use a frequentist model averaging (FMA) estimator to reduce the estimation and prediction risks of the GMNL model estimator. We show that the asymptotic squared error risk of the FMA estimator dominates that of the GMNL model estimator. The accuracy of the predicted choices is also higher based on the FMA estimates compared to the results based on the GMNL estimates. In the empirical analyses\, using the FMA estimator improves the percentage of correct predicted choices by 10% compared to the results based on the GMNL estimates. This paper provides a more efficient alternative to the GMNL model to capture people’s preferences and predict people’s choices. \n\n\n\n\n\nTong (Tonia) Zeng is an economics professor\, specializing in econometrics at the University of La Verne. She is visiting in the Institute of Mathematical Sciences at Claremont Graduate University this semester. Her research interests include discrete choice models\, model averaging and machine learning.
URL:https://colleges.claremont.edu/ccms/event/tonia-zeng/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
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