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

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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

13:30 – 14:30: Yushiro Aoki (NIT, Tokyo College) Forcing Axioms for Posets with Properties Stronger than Precaliber $\aleph_1$

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