RIMS workshop on Set Theory 2025, program

RIMS workshop on Set Theory 2025
Recent Developments in Axiomatic Set Theory

From 16th to 19th Dec. 2025, at the Research Institute for Mathematical Sciences, Kyoto University

Time of the schedule is JST. (∗) means an online talk

16th December (Tuesday)

10:40 – 10:45: Opening

10:45 – 11:15: Sakaé Fuchino (Kobe University) Generic Laver diamonds at the continuum slides

11:20 – 12:00: Hiroaki Minami (Aichi Gakuin University) The splitting and reaping number for mad families

13:30 – 14:30: Katsuya Eda (Waseda University) What is a multiset (addition and multiplication) slides

14:40 – 15:20: Diego A. Mejía (Kobe University) Isomorphism Theorems for ideals in Polish spaces slides

15:25 – 16:05: (∗) Daisuke Ikegami (Sun Yat-sen University) The Axiom of Real Determinacy and the Axiom of Real Blackwell Determinacy slides

16:10 – 16:50: (∗) Ari Meir Brodsky (Shamoon College) The Power of Trees

17th December (Wednesday)

09:30 – 10:10: Takashi Yamazoe (Kobe University) Global evasion and prediction associated with ideals slides

10:15 – 10:55: Hidetaka Noro (Kobe University) Local constant evasion number

11:00 – 12:00: David Chodounský (Czech Academy of Science) P-ultrafilters in generic extensions, I Chalk talk

13:30 – 14:30: Tadatoshi Miyamoto (Nanzan University) Strong Chain Forced by Bubbly Path slides

14:40 – 15:20: Sakaé Fuchino (Kobe University) Geology of set-theoretic multiverse slides

15:25 – 16:05: Fumiaki Nishitani (Shizuoka University) The Closed Subtree Property for Aronszajn trees slides

16:10 – 16:50: (∗) Assaf Rinot (Bar-Ilan University) What is a higher forcing axiom? slides

18th December (Thursday)

09:30 – 10:10: (∗) Lucas Polymeris (University of Concepci ́on) A strongly surjective Countryman line

10:15 – 10:55: Toshimasa Tanno (Kobe University) Perfect set dichotomy theorem in generalized Solovay model slides

11:00 – 12:00: David Chodounský (Czech Academy of Science) P-ultrafilters in generic extensions, II Chalk talk

13:30 – 14:30: Boriša Kuzeljević (University of Novi Sad) A dichotomy for transitive lists slides

14:40 – 15:20: Hiroshi Sakai (University of Tokyo) On consequences of Subcomplete Forcing Axiom slides

15:25 – 16:05: Kenta Tsukuura (National Fisheries University) Anti-compactness of a filter associated with a weak square sequence

16:10 – 16:50: (∗) Tatsuya Goto (TU Wien) Approaches to open problems regarding Goldstern’s principle

19th December (Friday)

09:30 – 10:10: (∗) Emmanuel Balderas Cristóbal (UNAM-UMSNH) Shelah ultrafilters slides

10:15 – 10:55: (∗) Osvaldo Guzman (CCM-UNAM) Multiple Pathways and P points slides

11:00 – 12:00: David Chodounský (Czech Academy of Science) P-ultrafilters in generic extensions, III Chalk talk

13:45 – 14:25: Yushiro Aoki (NIT, Tokyo College) Forcing Axioms for Posets with Properties Stronger than Precaliber $\aleph_1$ slides

14:40 – 15:20: Yusuke Hayashi (Kobe University) Stationary list colorings

15:25 – 16:05: Francesco Parente (Kobe University) Generic absoluteness revisited

16:10 – 16:50: Ryoichi Sato (Kobe University) Groupwise dense number in combinatorial tree forcing with meager ideal slides