{{menu|Events}} January 23–28, 2012, the seminar ''Forcing in Set Theory'' took place at Kobe University, Japan. It was funded by the bilateral Joint Seminar program of the JSPS (principal investigator: Sakaé Fuchino, Kobe) and the FWF (grant AJS336-N13, principal investigator: Jakob Kellner, KGRC). The local organizers were Jörg Brendle, Sakaé Fuchino and Hiroshi Sakai. Visit the [http://kurt.scitec.kobe-u.ac.jp/~brendle/Forcing2012/home.html conference website] for more details, as well as photos, abstracts and slides. ==Program==
Monday, January 23
10:00–11:30 Registration
11:30–12:50 Lunch time
12:50–13:00 Opening
13:00–13:45 '''Andrew Brooke-Taylor'''
(Kobe U, Japan)		 Large cardinals and colimits
14:00–14:45 '''Frank Tall'''
(U Toronto, Canada)		 Lindelof Indestructibility, Topological games, and Selection Principles: New Results
14:45–15:45 Break
15:45–16:30 '''Sakaé Fuchino'''
(Kobe U, Japan)		 On reflection of list chromatic number
16:45–17:30 '''Diego Alejandro Mejía'''
(Kobe U, Japan)		 Matrix iterations and the Cichon's diagram
Tuesday, January 24
9:45–10:30 '''Teruyuki Yorioka'''
(Shizuoka U, Japan)		 Killing some S-spaces by a coherent Suslin tree
10:45–11:30 '''Andrés Villaveces'''
(UN Colombia, Bogotá, Colombia)		 Forcing and Categoricity
11:30–13:00 Lunch time
13:00–13:45 '''Martin Goldstern'''
(DMG, TU Wien, Austria)		 Ultralaver forcing
14:00–14:45 '''Wolfgang Wohofsky'''
(DMG, TU Wien, Austria)		 Janus forcing towards dual Borel Conjecture, and other variants of the Borel Conjecture
14:45–15:45 Break
15:45–16:30 '''Jakob Kellner'''
(KGRC, U Wien, Austria)		 Borel Conjecture and dual Borel Conjecture
16:45–17:30 '''Victor Torres'''
(KGRC, U Wien, Austria)		 Conjectures of Rado and Chang, and Special Aronszajn Trees
18:00–21:00 Conference Dinner at ''Sakura''
Wednesday, January 25
9:30–10:15 '''Shuguo Zhang'''
(Sichuan U, Chengdu, China)		 Cardinal invariants related to I-ultrafilters
10:30–11:15 '''Masaru Kada'''
(Osaka Prefecture U, Sakai, Japan)		 Remarks on Scheepers' theorem on the cardinality of Lindelöf spaces
11:30–12:15 '''Vera Fischer'''
(KGRC, U Wien, Austria)		 Projective wellorders and maximal families of orthogonal measures with large continuum
12:15– Lunch time and free discussions
Thursday, January 26
9:45–10:30 '''Taishi Kurahashi'''
(Kobe U, Japan)		 Predicate modal logic of provability and Montagna's problem
10:45–11:30 '''Yasuo Yoshinobu'''
(Nagoya U, Japan)		 On weakly operationally closed posets
11:30–13:00 Lunch time
13:00–13:45 '''Sy-David Friedman'''
(KGRC, U Wien, Austria)		 The Stable Core of V
14:00–14:45 '''Hiroshi Sakai'''
(Kobe U, Japan)		 Chang's Conjecture and weak square
14:45–15:45 Break
15:45–16:30 '''Hiroshi Fujita'''
(Ehime U, Matsuyama, Japan)		 Borel-generated subgroups of the real line
16:45–17:30 '''Hiroaki Minami'''
(KGRC, U Wien, Austria)		 Reaping number and independence number for partitions of omega.
17:45–18:30 '''David Asperó'''
(DMG, TU Wien, Austria)		 Wishful thinking in set theory: Omega-completeness and maximality
Friday, January 27
9:45–10:30 '''Miguel Angel Mota'''
(KGRC, U Wien, Austria)		 Generalizations of Martin's Axiom and their consistency with a large continuum.
10:45–11:30 '''Lyubomyr Zdomskyy'''
(KGRC, U Wien, Austria)		 Productively Lindelöf spaces and selection principles
11:30–13:00 Lunch time
13:00–13:45 '''Tristan Bice'''
(Kobe U, Japan)		 Set Theory of the Calkin Algebra
14:00–14:45 '''Liuzhen Wu'''
(KGRC, U Wien, Austria)		 Delta_1-definability of the nonstationary ideal
15:00–15:45 '''Vincenzo Dimonte'''
(KGRC, U Wien, Austria)		 Forcing and Very Large Cardinals: DOs and DON'Ts
Saturday, January 28
9:30–10:15 '''Dilip Raghavan'''
(Kobe U, Japan)		 Suslin lattices
10:30–11:15 '''Jörg Brendle'''
(Kobe U, Japan)		 Aspects of splitting
11:30–12:15 '''Toshimichi Usuba'''
(Nagoya U, Japan)		 Small semiproper posets
Participants in addition to the speakers: * '''Yoshihiro Abe''' (Kanagawa U, Yokohama, Japan) * '''Franqui Cárdenas''' (UN Colombia, Bogotá, Colombia) * '''Arthur Fischer''' (KGRC, U Wien, Austria) * '''Yo Matsubara''' (Nagoya U, Japan) * '''Tadatoshi Miyamoto''' (Nanzan U, Nagoya, Japan) * '''Masahiro Rokuyama''' (Kyoto U, Japan)