# Recent and upcoming talks by Hiroshi Sakai

## 2nd Pan Pacific International Conference on Topology and Applications, November 13–17, 2017

The 2nd Pan Pacific International Conference on Topology and Applications (2nd PPICTA) had a special session in Set Theory, to which we now provide the slides. (50min. talks) 1. David Chodounsky (Institute of Mathematics CAS) Sacks indestructible ultrafilters and the HL property 2. continue reading…

## Iterated Forcing Theory and Cardinal Invariants, Kyoto, November 6 – 9, 2017

RIMS Workshop on Iterated Forcing Theory and Cardinal Invariants November 6 – 9, 2017 at the Research Institute for Mathematical Sciences (RIMS), Kyoto University ORGANIZER: Jörg Brendle (Kobe) MINICOURSE: Diego Mejía (Shizuoka)  Recent (and not that recent) forcing techniques on finite support iterations SPEAKERS: David Asperó (Norwich) Few new reals Fabiana Castiblanco (Münster) David Chodounský (Praha) Monroe Eskew (Wien) Local saturation at every successor cardinal JiaLiang He (Chengdu) An elementary proof of p = t Daisuke Ikegami (Tokyo) On supercompactness of $\omega_1$ Hiromi Ishii (Tsukuba) Reflection Principle and construction of saturated ideals on $\mathcal P_{\omega_1}(\lambda)$ Yo Matsubara (Nagoya) On the existence of skinny stationary subsets Tadatoshi Miyamoto (Nagoya) No Suslin trees but a non-special Aronszajn tree exists by a side condition method Francesco Parente (Norwich) Keisler’s order via Boolean ultrapowers André Rodrigues (Kobe) Hiroshi Sakai (Kobe) On models generated by uncountable indiscernible sequences Dmitri Shakhmatov (Matsuyama) Compactness-like properties de ned by open-point games and maximal almost disjoint families Toshimichi Usuba (Tokyo) $G_\delta$ modification and large cardinals Teruyuki Yorioka (Shizuoka) Aspero-Mota’s finitely proper forcing axiom and k-entangled sets of reals Yasuo Yoshinobu (Nagoya) A further variation of the Banach-Mazur game and forcing axioms continue reading…

## The 14th International Workshop on Set Theory in Luminy, October 9-13, 2017

14th International Workshop in Set Theory October 9 – 13 2017 CIRM, Luminy, Marseille Organizers: M. Dzamonja, M. Magidor, B. Velickovic, H. Woodin MONDAY, October 9 2017 MORNING 9:20 – 9:50 A. continue reading…

## The 15th Asian Logic Conference, Korea, July 10–14, 2017

The Fifteenth Asian Logic Conference will be held in Daejeon, Korea during July 10 – 14, 2017. It will be the first Asian Logic Conference since its status changed from an ASL(the Association for Symbolic Logic)-sponsored meeting to an official ASL meeting by ASL Council action in May 2016. continue reading…

## Infinite Combinatorics and Forcing Theory, Kyoto, November 28 – December 1, 2016

RIMS Workshop on Infinite Combinatorics and Forcing Theory November 28 – December 1, 2016 at the Research Institute for Mathematical Sciences (RIMS), Kyoto University The workshop website: http://www.ipc.shizuoka.ac.jp/~styorio/rims16/index.html Tutorial speakers: Natasha Dobrinen (University of Denver), Ramsey theory in forcing Yinhe Peng (University of Toronto), Negative partition relations on $\omega_1$ Speakers: Jörg Brendle (Kobe University), Maximal trees Fabiana Castiblanco (Universität Münster), Preserving sharps by tree forcings David Chodounsky (Institute of Mathematics of the Czech Academy of Science), Mathias-Prikry forcing and generic ultrafilters Sakaé Fuchino (Kobe University), Reflection theorems on non-existence of orthonormal bases of pre-Hilbert spaces Daisuke Ikegami (Tokyo Denki University), Boolean valued second order logic Diego A. continue reading…

## Recent Developments in Axiomatic Set Theory, September 16-18, 2015

RIMS Set Theory Workshop 2015 Recent Developments in Axiomatic Set Theory   September 16 (Wed.) 14:20-14:50 Masaru Kada and Takuto Kato: Variants of AC under ZF minus union 15:10-15:40 Masaru Kada and Souji Shizuma: Some remarks on in nite hat guessing games 16:00-16:50 Makoto Takahashi: On non -shortness of Axiom A posets with frame systems September 17  (Thu.) 10:00-10:50 Teruyuki Yorioka: Some consistency results with the existence of a non special Aronszajn tree 11:10-12:00 David Chodounsky: F-Mathias reals and generic filters 14:00-14:50 Joel David Hamkins: Upward closure in the generic multiverse of a countable model of set theory 15:10-16:00 Toshimichi Usuba: Set-theoretic geology and large large cardinals 16:20-17:00 Tadatoshi Miyamoto: Side condition methods and morasses September 18 (Fri.) 9:00-9:50 Sakae Fuchino: On the superuniverse of the set theoretic multiverses 10:10-11:00 Hiroshi Sakai: Covering and approximation properties of ultrapower Venue Room 420, RIMS Kyoto Organizer Masahiro Shioya (University of Tsukuba), E-mail: shioya _at_ math.tsukuba.ac.jp continue reading…

## BLAST Conference at UNT June 8–12, 2015

BLAST2015@UNT Conference – ANNOUNCEMENT 1. http://math.unt.edu/BLAST2015@UNT DATE: June 8 – 12, 2015 WHERE: University of North Texas in Denton, TX BLAST (Boolean Algebras, Lattices, Algebraic & Quantum Logic, Universal Algebra, Set Theory, and Set-theoretic & Point-free Topology) is an annual conference sponsored by the National Science Foundation that has been running since 2008. continue reading…

## Infinitary Combinatorics in Set Theory and Its Applications, November 10-13, 2014

RIMS Set Theory Workshop 2014 Infinitary Combinatorics in Set Theory and Its Applications November 10 – 13, 2014 Kyoto, Japan   Overview Infinitary Combinatorics is a classical and main topic of axiomatic set theory. continue reading…

## International Conference on Topology and Geometry, September 2-6, 2013

Joint with the 6th Japan-Mexico Topology Symposium, September 2 – 6, 2013 Shimane University and Osaka City University are organizing the international conference on Topology and Geometry 2013. The conference will take place at Shimane University, Matsue City, Japan, on September 2-6, 2013. continue reading…

## Workshop on Forcing Axioms and their Applications, October 22-26, 2012

This workshop will take place at the Fields institute, as a part of the 2012 Thematic Program on Forcing and its Applications. Organizing Committee: Jordi Lopez Abad Justin Tatch Moore Stevo Todorcevic Show Schedule Monday, October 22 9:30 Justin Tatch Moore, Cornell University Martin’s Maximum, a tutorial 1 The purpose of these talks will be to survey the consequences of Martin’s Maximum. continue reading…