Kisoron-ml September 2023

kisoron-ml@fos.kuis.kyoto-u.ac.jp

3 participants
3 discussions

証明論研究集会2023: RIMS共同研究(公開型)「証明論と計算論の最前線」のご案内
by YOKOYAMA Keita 02 Dec '23

02 Dec '23

みなさま，東北大学の横山です． 2023年度の証明論研究集会を以下の通りRIMS共同研究(公開型)として開催いたします．ご講演・ご参加をご検討いただけましたら幸いです．どうぞよろしくお願いいたします． ********************************* RIMS共同研究(公開型)「証明論と計算論の最前線」日時：2022/12/11(月)午後-2022/12/14(木)午前場所：京都大学数理解析研究所(RIMS)110号室(およびオンライン) 講演募集：11月20日締め切り詳細は研究集会のウェブページをご覧ください． https://sites.google.com/view/proof-theory-2023 また講演申し込み(11月20日締め切り)及び参加登録は以下のフォームよりお願いいたします． https://forms.gle/HoMR3wx595FbLxHc7 ********************************* どうぞよろしくお願いいたします．横山啓太 -- Keita Yokoyama Mathematical Institute, Tohoku University Aoba, Sendai, JAPAN, 980-8578 keita.yokoyama.c2(a)tohoku.ac.jp

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数学基礎論若手の会2023
by 松田直祐 11 Sep '23

11 Sep '23

みなさま湘南工科大学の松田直祐と申します。今年度の数学基礎論若手の会を以下の要領で開催させていただきます。日程：2023年12月7日（木）～ 12月9日（土）会場：サンセットブリーズ保田 <https://sunset-breeze.com/>（対面開催）住所：千葉県安房郡鋸南町大六1032 世話人：松田直祐（湘南工科大学）参加申し込み方法などの詳細は，ホームページでご確認ください。若手の会2023 <https://sites.google.com/view/mlwakatenokai2023/%E3%83%9B%E3%83%BC%E3%83%A0> 4年ぶりに対面（合宿形式）での開催となります。多くのみなさまのご参加をお待ちしております。 -- 松田直祐湘南工科大学情報学部情報学科〒251-8511 神奈川県藤沢市辻堂西海岸1-1-25 Tel: 0466-30-0219 Email: matsuda.naosuke(a)gmail.com

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Two Mini-Courses in Set Theory, University of Vienna, October 2023 – January 2024
by Diego A. Mejía 11 Sep '23

11 Sep '23

https://ests.wordpress.com/2023/09/04/two-mini-courses-in-set-theory-univer… The University of Vienna Set Theory Research Seminar will host two mini-courses in hybrid format in the coming Winter Semester 2023. *** *** *** *** *** *** *** *** 1) Title: Convergence in Banach spaces of measures and cardinal characteristics of the continuum Damian Sobota (FWF ESPRIT Project Leader, University of Vienna) When and where: Thursdays (05.10.2023-23.11.2023, 6 lectures) 11:30-13:00, Seminarraum 10, Kolingasse 14-16, Uni Wien Zoom Meeting ID: 210 955 0387, Passcode: kgrc https://univienna.zoom.u/j/2109550387?pwd=ZXZMLzZIWERXK2lnWlROZncxQkVSUT09 <https://univienna.zoom.us/j/2109550387?pwd=ZXZMLzZIWERXK2lnWlROZncxQkVSUT09> Abstract: During this mini-course I will show how various properties of Banach spaces of measures (on compact spaces or Boolean algebras) are affected by values of the cardinal characteristics of the continuum occuring in Cichoń’s diagram and van Douwen’s diagram. We will in particular be interested in convergence properties of sequences of measures in weak* and weak topologies. Besides, we will study what impact extending the set-theoretic universe by forcing can have on topologies of ground model Banach spaces of measures. Finally, I will present connections between convergence of measures on compact spaces and filters on countable sets. 2) Title: Forcing techniques for Cichoń’s Maximum Diego A. Mejía (Associate Professor, Shizuoka University) When and where: Thursdays (30.11.2023-25.01.2024, 6 lectures) 11:30-13:00, Seminarraum 10, Kolingasse 14-16, Uni Wien Zoom Meeting ID: 210 955 0387, Passcode: kgrc https://univienna.zoom.us/j/2109550387?pwd=ZXZMLzZIWERXK2lnWlROZncxQkVSUT09 Abstract: Cichoń’s diagram describes the connections between combinatorial notions related to measure, category, and compactness of sets of irrational numbers. In the second part of the 2010’s decade, Goldstern, Kellner and Shelah constructed a forcing model of Cichoń’s Maximum (meaning that all non-dependent cardinal characteristics are pairwise different) by using large cardinals. Some years later, we eliminated this large cardinal assumption. In this mini-course, we explore the forcing techniques to construct the Cichoń’s Maximum model and much more. Concretely, we discuss the following components: 1. Tukey connections and cardinal characteristics of the continuum 2. Review of FS (finite support) iterations and basic methods to modify cardinal characteristics. 3. Preservation theory for cardinal characteristics. 4. FS iterations with measures and ultrafilters on the natural numbers. 5. Boolean Ultrapowers. 6. Forcing Intersected with submodels. *** *** *** *** *** *** *** *** For further information, please write to <vera.fischer(a)univie.ac.at>. -- Diego A. Mejía (PhD) Associate Professor Faculty of Science, Shizuoka University 836 Ohya, Suruga-ku, Shizuoka 422-8529 Japan Tel: +81-54-2384787

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