Kobe Set Theory Seminar

This seminar is a part of the activities of the research group of Mathematical Logic and Statistics of the Graduate School of System Informatics of Kobe University.

(Some of) the talks in the seminar may be given via internet (or in hybrid form). In this case, if you want to attend the seminar via internet please ask me for meeting id and passcode (see below for my email address).
If you are interested in giving a talk please contact Jörg Brendle, Francesco Parente, and/or me (Sakaé Fuchino)

Upcoming Talks :

　July 30, 2025　(We) | 15:30 JST -- (in person)💥
　Speaker:　
 Andrés Felipe Uribe-Zapata
　Title:
 Notions of Absoluteness in Integration Theory　[abstract]　[slides]

　Organizers:　
 Jörg Brendle
 Diego A. Mejía
 Francesco Parente　(scheduling) 　 　 　 　 　
 Sakaé Fuchino　(webpage)
　Contact:　
 Francesco Parente
　
 Sakaé Fuchino
　　　　
 francesco_pkt_parente_kaf_people_pkt_kobe-u_pkt_ac_pkt_jp
　
 fuchino_kaf_diamond_pkt_kobe-u_pkt_ac_pkt_jp
　“_kaf_” and “_pkt_” are to be replaced by ‘@’ and ‘.’ respectively.
* at the moment, this way of giving email addresses seems to be still (barely?) safe (unless ChatGPT is just pretending on purpose to be a very stupid “AI”).
Past Talks (and other related events):

　July 23, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Francesco Parente
　Title:
 Two generalizations of the Rudin-Frolík ordering to ultrafilters on complete Boolean algebras　　[abstract]　[slides]
　July 2, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Hidetaka Noro
　Title:
 Local prediction and constant prediction　　[abstract]　[slides]
　June 25, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Ryoichi Sato
　Title:
 Borel supports of measure zero modulo ideals on the natural numbers　　[abstract]　[slides]
　June 18, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Sakaé Fuchino
　Title:
 On super-$C^{(\infty)}$-Laver generic Large Cardinal Axioms for extendibility　　[abstract]　[slides]
　June 11, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Takashi Yamazoe
　Title:
 Cardinal invariants of products of ideals　　[abstract]　[slides]
　June 4, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Diego A. Mejía
　Title:
 The Isomorphism Theorem for the ideal $\mathcal{E}$　　[abstract]　[slides]
　May 30, 2025　(Fri) | 15:30 JST -- (in person)
　Speaker:　
 Roy Shalev (Bar-Ilan University)
　Title:
 A dichotomy for transitive lists　　[abstract]　[slides]
　May 21, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Sakaé Fuchino
　Title:
 Tarski's undefinability of truth theorem and its impacts on set theory　　[abstract]　[slides]　 [bbd images]💥
　May 14, 2025　(We) | 13:40-14:40 JST -- (in person)
　Speaker:　
 David Valderrama (Universidad de los Andes)
　Title:
 Relations between (X,Y)-density numbers, X-reaping numbers, and some known cardinal characteristics　　[abstract]　[slides]
　May 14, 2025　(We) | 15:10-16:10 JST -- (in person)
　Speaker:　
 M. Catalina Torres (Universitat de Barcelona)
　Title:
 A topological approach to characterising hyperstationary sets on $\mathcal{P}_\kappa(A)$　　[abstract]　[slides]
　May 14, 2025　(We) | 16:40-17:40 JST -- (in person)x
　Speaker:　
 Ming Ng (Nagoya University)
　Title:
 What is a space, and why should a set theorist care?　　[abstract]　[slides]
　Mar.26, 2025　(We) | 13:40-14:40 JST -- (in person)
　Speaker:　
 後藤達哉 (Tatsuya Goto, Kobe University)
　Title:
 Covering numbers of sets of reals omitting certain shapes　　[abstract]　[slides]
　Mar.26, 2025　(We) | 15:10-16:10 JST -- (in person; a joint event with Kobe Logic Seminar)
　Speaker:　
 Andrés Villaveces (National University of Colombia)
　Title:
 Some recent (and some not so recent) interactions between Set Theory and Model Theory　　[abstract]　[slides]
　Mar.26, 2025　(We) | 16:40-17:40 JST -- (in person)
　Speaker:　
 Pratulananda Das (Jadavpur University)
　Title:
 Eggleston's dichotomy for characterized subgroups and the role of ideals　　[abstract]　[slides]
　Jan.15, 2025　(We) | 15:30 JST -- (in person)
　Speaker:　
 Diego A. Mejía
　Title:
 Forcing with finitely additive measures　　[abstract]　[slides]
　Dec.23-24, 2024　(Th) | -- (in person)
　第19回関西集合論セミナ --- 中百舌鳥ファイナル
　Dec.12, 2024　(Th) | 15:30 JST -- (in person)
　Speaker:　
 Jörg Brendle
　Title:
 Combinatorial properties of MAD families, Part II　　[abstract]　[slides]
　Dec.11, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Jörg Brendle
　Title:
 Combinatorial properties of MAD families, Part I　　[abstract]　[slides]
　Nov.27, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Sakaé Fuchino
　Title:
 Maximality Principles and Laver generic large cardinals　　[abstract]　[slides]
　Nov.20, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Andrés F. Uribe-Zapata
　Title:
 Probability trees (2)　　[abstract]　[slides]
　Nov.13, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Andrés F. Uribe-Zapata
　Title:
 Probability trees　　[abstract]　[slides]
　Nov.6, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Yhon Castro
　Title:
 MAD families and cardinal invariants　　[abstract]　[slides]
　Oct.30, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Diego A. Mejía
　Title:
 Coherent systems of FS iterations and applications, Part II　　[abstract]　[slides]
　Oct.23, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Diego A. Mejía
　Title:
 Coherent systems of FS iterations and applications, Part I　　[abstract]　[slides]　[bbd images]
　Oct.16, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Jaroslav Šupina
　Title:
 Some Remarks on Slalom Numbers　　[abstract]　[slides]
　Oct.4, 2024　(Fr) | 15:30 JST -- (in person)
　Speaker:　
Tristan van der Vlugt
　Title:
 Subseries numbers for convergent subseries　　[abstract]　[slides]
　Oct.2, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Takashi Yamazoe
　Title:
 Cichoń's maximum with the uniformity and the covering of the $\sigma$-ideal $\mathcal{E}$ generated by closed null sets II　　[abstract]　[slides]
　Sep.25, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Takashi Yamazoe
　Title:
 Cichoń's maximum with the uniformity and the covering of the $\sigma$-ideal $\mathcal{E}$ generated by closed null sets I　　[abstract]　[slides]
　Sep.5, 2024　(Th) | 15:30 JST -- (in person)
　Speaker:　
 Francesco Parente
　Title:
 Refinement, reaping, and the ultrafilter number II　　[abstract]　[slides]
　Aug.28, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Francesco Parente
　Title:
 Refinement, reaping, and the ultrafilter number I　　[abstract]　[slides]
　Aug.1, 2024　(Th) | 15:30 JST -- (in person)
　Speaker:　
 Diego Alejandro Mejía
　Title:
 Slalom numbers and Cohen reals　　[abstract]　[slides]　[bbd images]
　July 25, 2024　(Th) | 15:30 JST -- (in person)
　Speaker:　
 Tatsuya Goto
　Title:
 Ccc ideals and approximation of Solovay sets by Borel sets　　[abstract]　[slides]　[bbd images]
　July 9--12, 2024
　No seminar session in this week due to the RIMS symposium 数理論理学の最近の進展
　July 4, 2024　(Th) | 15:30 JST -- (in person)
　Speaker:　
 Joerg Brendle
　Title:
 The splitting number for mad families (3) 　　[abstract]　[slides]
　July 3, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Joerg Brendle
　Title:
 The splitting number for mad families (2)　　[abstract]　[slides]
　June 26, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Joerg Brendle
　Title:
 The splitting number for mad families　　[abstract]　[slides]
　June 13, 2024　(Th) | 15:30 JST -- (in person)
　Speaker:　
 Tatsuya Goto
　Title:
 Preservation of positive Hausdorff measure (2)　　[abstract]　[slides]
　June 5, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Tatsuya Goto
　Title:
 Preservation of positive Hausdorff measure 　　[abstract]　[slides]　[blackboard images]
　May 29, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Sakaé Fuchino
　Title:
 Reflection and generic absoluteness (2)　　[abstract]　[slides]　[blackboard images]
　May 23, 2024　(Th) | 15:30 JST -- (in person, NOTE: not usual day of the week)
　Speaker:　
 Sakaé Fuchino
　Title:
 Reflection and generic absoluteness　　[abstract]　[slides]　[blackboard images]
　May 15, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Francesco Parente
　Title:
 On properties preserved by dense Chu transforms　　[abstract]　[slides]
　May 8, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Tatsuya Goto
　Title:
 Cardinal invariants on Hausdorff measures　　[abstract]　[slides]
　May 1, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Sakaé Fuchino
　Title:
 Generic solution of Hamberger's Problem (2)　　[abstract]　[slides]　[blackboard images]
　April 24, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Sakaé Fuchino
　Title:
 Generic solution of Hamberger's Problem (1)　　[abstract]　[slides]　[blackboard images]
　April 17, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Jörg Brendle
　Title:
 Asymptotic density cardinals (2)　　[abstract]　[slides]
　April 10, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Jörg Brendle
　Title:
 Asymptotic density cardinals　　[abstract]　[slides]
　April 3, 2024　(We) | 15:30 JST -- (in person)
　Speaker:　
 Takashi Yamazoe
　Title:
 On splitting* game: Avoiding head-on battles is sometimes useful　　[abstract]　[slides]
　March 27, 2024　(We) | 14:30-15:30 JST -- (in person)
　Speaker:　
 Francesco Parente (神戸大学)
　Title:
 Good ultrafilters and universality properties of forcing　　[abstract]　[slides]
　March 27, 2024　(We) | 16:00-17:00 JST -- (in person)
　Speaker:　
 Michael Hrušák (Universidad Nacional Autónoma de México)
　Title:
 Ramsey theory with highly connected monochromatic sets　　[abstract]　[slides]
　March 26, 2024　(Tu) | 14:30-15:30 JST -- (in person)
　Speaker:　
 Diego A. Mejía (静岡大学)
　Title:
 Cardinal characteristics associated with the strong measure zero ideal and additive ideals　　[abstract]　[slides]
　March 26, 2024　(Tu) | 16:00-17:00 JST -- (in person)
　Speaker:　
 David Valderrama (Universidad de los Andes)
　Title:
 Behavior of some variants of the splitting number in the Hechler and Dual Hechler model　　[abstract]　[slides]
　November 2, 2023　(Mo) | 15:30 JST -- (Waseda-Kobe Joint Set Theory Seminar, hypbrid(zoom broadcasting from Kobe))
　Speaker:　
 Gunter Fuchs
　Title:
 　　[abstract]　[slides]
　November 1, 2023　(Mo) | 16:00 JST -- (Waseda-Kobe Joint Set Theory Seminar, hypbrid (zoom broadcasting from Kobe))
　Speaker:　
 Joan Bagaria
　Title:
 　　[abstract]　[slides]
　July 31, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Philip Lücke
　Title:
 Definable Clubs　　[abstract]　[slides]
　July 24, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Takashi Yamazoe (山添 隆志)
　Title:
 Cichoń's maximum with evasion number　　[abstract]　[slides]
　July 17, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Ben De Bondt
　Title:
 Strongly stationary set preserving forcing　　[abstract]　[slides]　[slides in a single page]　
 Caution:　 some browser cannot manage to display the single page version of the slides correctly.
If this happens you should download the pdf file and open it with a sufficiently powerful previewer.
　July 10, 2023　(Mo) | 23:00 JST -- (note the irregular starting time, zoom)
　Speaker:　
 Will Boney
　Title:
 Building generalized indiscernibles in AECs with set theory　　[abstract]　[slides]
　July 3, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 *
　Title:
 There was no talk on July 3.　　[abstract]　[slides]
　June 26, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Philipp Schlicht (University of Bristol)
　Title:
 The interplay of iterated forcing and determinacy　　[abstract]　[slides]
　June 19, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Andreas Lietz (Universität Münster)
　Title:
 Forcing “$NS_{\omega_1}$ is $\omega_1$-dense” from large cardinals (2/2)　　[abstract]　[slides]
　June 12, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Andreas Lietz (Universität Münster)
　Title:
 Forcing “$NS_{\omega_1}$ is $\omega_1$-dense” from large cardinals (1/2)　　[abstract]　[slides]
　June 5, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Sakaé Fuchino (渕野 昌)
　Title:
 Resurrection and Maximality under the tightly Laver-generically ultrahuge cardinal (2/2)　　[abstract]　[slides] 　[additional slides]
　May 29, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Sakaé Fuchino (渕野 昌)
　Title:
 Resurrection and Maximality under the tightly Laver-generically ultrahuge cardinal (1/2)　　[abstract]　[slides]
　May 22, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Takehiko Gappo (合浦 岳彦, TU Wien)
　Title:
 Chang models over derived models with supercompact measures (2/2)　　[abstract]　[slides]
　May 15, 2023　(Mo) | 16:30 JST -- (zoom)
　Speaker:　
 Takehiko Gappo (合浦 岳彦, TU Wien)
　Title:
 Chang models over derived models with supercompact measures (1/2)　　[abstract]　[slides]
　Oct 25, 2022　(Tu) -- Oct 28, 2022　(Fr) -- (zoom)
　Organizer:　
 Hiroshi Sakai
　Title:
 RIMS Set Theory Workshop 2022　　
　Aug. 3, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Francesco Parente (Turin)
　Title:
 The refinement relation and its associated cardinal invariants　　[abstract]　[slides]
　July 27, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Teruyuki Yorioka (Shizuoka)
　Title:
 Preservation results of the $\in$-collapse　　[abstract]　[slides]
　July 20, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Diego Alejandro Mejia-Guzman (Shizuoka)
　Title:
 Revisiting the cofinality of the ideal of strong measure zero sets　　[abstract]　[slides]
　July 13, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Miguel Antonio Cardona Montoya (Košice)
　Title:
 σ-ideal of the closed measure zero sets　　[abstract]　[slides]
　July 6, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Yusuke Hayashi
　Title:
 The dominating number and the unbounded number for singular cardinals II　　[abstract]　[slides]
　June 29, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Yusuke Hayashi
　Title:
 The dominating number and the unbounded number for singular cardinals I　　[abstract]　[slides]
　Jun 22, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 This slot is canceled because of the RIMS Symposium
　Title:
 Mathematical Logic and its Applications, 2022-06-21--2022-06-24　　
　Jun 15, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Tristan van der Vlugt
　Title:
 Localisation Cardinals on the Generalised Baire Space II　　[abstract]　[slides]　[preprint]
　Jun　8, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Tristan van der Vlugt
　Title:
 Localisation Cardinals on the Generalised Baire Space I　　[abstract]　[slides]　[preprint]
　Jun　1, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Sakaé Fuchino
　Title:
 On Löwenheim-Skolem number and compactness number of some non first-order logics　　[abstract]　[slides]
　May 25, 2022　(We) | 16:00 JST -- (zoom)
　Speaker:　
 Sakaé Fuchino
　Title:
 On Magidor's characterization of supercompact cardinals as Löwenheim-Skolem numbers of the second order logic　　[abstract]　[slides]
　May 17, 2022　(Tu) | 16:00 JST -- (zoom)
　Speaker:　
 Tatsuya Goto
　Title:
 Goldstern’s principle about unions of null sets (II)　　[abstract]　[slides (OneNote)]
　May 10, 2022　(Tu) | 16:00 JST -- (zoom)
　Speaker:　
 Tatsuya Goto
　Title:
 Goldstern’s principle about unions of null sets (I)　　[abstract]　[slides (OneNote)]
Last modified: 　　2025-07-27 00:09:53 JST