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DTSTART;TZID=America/Los_Angeles:20221003T161500
DTEND;TZID=America/Los_Angeles:20221003T171500
DTSTAMP:20260519T124157
CREATED:20220909T225108Z
LAST-MODIFIED:20220929T215943Z
UID:2851-1664813700-1664817300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Harlin Lee (UCLA)
DESCRIPTION:Title: Understanding scientific fields with network analysis and topic modeling\n\nAbstract: As scientific disciplines get larger\, it becomes impossible for an individual researcher to be familiar with the entire body of literature\, which forces them to specialize in a sub-field. Such insulation can hinder the birth of ideas that arise from new connections\, eventually slowing down scientific progress. As such\, discovering fruitful interdisciplinary connections by analyzing scientific publications is an important problem in the science of science. This talk will present several past and ongoing projects in answering that question using tools from network analysis and topic modeling: 1) a dynamic-embedding-based method for link prediction in a machine learning semantic network\, where the nodes are concepts in machine learning\, and the time-stamped edges indicate co-occurrence in scientific papers\, and 2) finding communities in cognitive science that study similar topics but do not cite each other or publish in the same venues.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-harlin-lee-ucla/
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:20221004T121500
DTEND;TZID=America/Los_Angeles:20221004T131000
DTSTAMP:20260519T124157
CREATED:20220829T210323Z
LAST-MODIFIED:20221003T234340Z
UID:2800-1664885700-1664889000@colleges.claremont.edu
SUMMARY:Recent developments on the slice rank polynomial method with applications (Mohamed Omar\, HMC)
DESCRIPTION:The slice rank polynomial method\, motivated by groundbreaking work of Croot\, Lev and Pach and refined by Tao\, has opened the door to the resolution of many problems in extremal combinatorics. We survey these results and discuss contributions in several of the speaker’s recent papers.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-mohamed-omar-hmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20221005T161500
DTEND;TZID=America/Los_Angeles:20221005T173000
DTSTAMP:20260519T124157
CREATED:20220824T231222Z
LAST-MODIFIED:20220824T231806Z
UID:2789-1664986500-1664991000@colleges.claremont.edu
SUMMARY:How do mathematicians believe? (Prof. Brian P Katz)
DESCRIPTION:Title: How do mathematicians believe? \nSpeaker: Brian P Katz (BK)\, Department of Mathematics and Statistics\, CSU\, Long Beach \nAbstract: Love it or hate it\, many people believe that mathematics gives humans access to a kind of truth that is more absolute and universal than other disciplines. If this claim is true\, we must ask: what makes the origins and processes of mathematics special and how can our messy\, biological brains connect to the absolute? If the claim is false\, then what becomes of truth in mathematics? In this session\, we will discuss beliefs about truth and how they play out in the mathematics classroom\, trying to understand a little about identity\, authority\, and tertiary education. \n\nBrian P Katz (BK) is faculty in Mathematics Education at CSULB. BK is passionate about interactions between inquiry\, epistemology\, identity\, authority\, and justice as both a scholar and teacher\, especially in the context of preparing teachers to lead student-centered and rehumanizing classrooms of their own. BK is Associate and Communications Editor with PRIMUS\, a former Chair of IBL SIGMAA\, a current member of the executive committee of SIGMAA RUME\, an MAA textbook author\, co-Editor of the inclusion/exclusion blog\, co-Editor-in-Chief of the MAA Notes textbook series\, and an Associate Director of Project NExT. BK supports two of the best cats in the world and loves to sing.
URL:https://colleges.claremont.edu/ccms/event/how-do-mathematicians-believe-prof-brian-p-katz/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221006T160000
DTEND;TZID=America/Los_Angeles:20221006T170000
DTSTAMP:20260519T124157
CREATED:20221002T165522Z
LAST-MODIFIED:20230816T042942Z
UID:2946-1665072000-1665075600@colleges.claremont.edu
SUMMARY:On Schauder's Theorem and $s$-numbers (Daniel Akech Thiong\, CGU)
DESCRIPTION:Let \(\mathcal{L}(X\,Y)\) denote the normed vector space of all continuous operators from \(X\) to \(Y\)\, \(X^*\) be the dual space of \(X\)\, and \(\mathcal{K}(X\,Y)\) denote the collection of all compact operators from \(X\) to \(Y\). Denote by \(T^{*} \in \mathcal{L}(Y^{*}\, X^{*} )\) the adjoint operator of \(T\in \mathcal{L} (X\, Y)\). The well known theorem of Schauder states that \(T \in \mathcal{K}(X\,Y) \iff T^{*} \in \mathcal{K}(Y^{*}\,X^{*})\). When an operator fails to be compact\, it is sometimes useful to be able to quantify the degree to which it fails to be compact\, which has led to the introduction of certain approximation quantities\, usually called \(s\)-numbers\, and are closely related to singular values. Specifically\, the concept of \(s\)-numbers\, \(s_n(T)\)\, arises from the need to assign to every operator \(T: X \to Y\) a certain sequence of numbers \(\{s_n(T)\}\) such that \[s_1(T) \geq s_2(T) \geq \dots \geq 0\] which characterizes the degree of compactness/non-compactness of \(T\). The main examples of \(s\)-numbers include approximation numbers and Kolmogorov numbers. Motivated by Schauder’s theorem\, in this talk I will present the relationship between various \(s\)-numbers of an operator \(T\) and its adjoint \(T^*\) between Banach spaces. Joint work with Asuman G. Aksoy. \n1. A. G. Aksoy\, On a theorem of Terzioğlu\, Turk J Math\, 43\, (2019)\, 258-267.2. A. G. Aksoy and M. Nakamura\, The approximation numbers \(\gamma_n(T)\) and Q–compactness\, Math. Japon. 31 (1986)\, no. 6\, 827-840.3. K. Astala\, On measures of non-compactness and ideal variations in Banachspaces\, Ann. Acad. Sci. Fenn. Ser. AI Math. Dissertations 29\, (1980)\, 1-42.4. B. Carl and I. Stephani\, Entropy\, compactness and the approximation of oper-ators\, Cambridge University Press\, 1990.5. C. V. Hutton\, On approximation numbers and its adjoint. Math. Ann. 210(1974)\, 277-280.6. Oja\, Eve\, and Silja Veidenberg. ”Principle of local reflexivity respecting nestsof subspaces and the nest approximation properties.” Journal of FunctionalAnalysis 273.9 (2017): 2916-2938.7. A.Pietsch\, Operator ideals\, North-Holland\, Amsterdam\, 1980.
URL:https://colleges.claremont.edu/ccms/event/on-schauders-theorem-and-s-numbers-daniel-akech-thiong-cgu/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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