Reflection principles and set theory of large cardinals, September 9 – 12, 2013

The RIMS meeting “Reflection principles and set theory of large cardinals”
will take place from Sept. 9 till Sept. 12 at the Research Institute for
Mathematical Sciences, Kyoto University, Japan. this meeting is organized
by Sakae Fuchino.

Guest Speakers

  • James Cummings     Mini Course on “Large Cardinals and Forcing”
  • Stevo Todorčević     Combinatorial Reflection Principles

We expect many talks, in particular by junior participants, both from Japan and abroad. people interested in attending should contact Sakae Fuchino. fuchino@diamond.kobe-u.ac.jp

12:10–14:00     Lunch Time

09:00–09:10    Opening
09:10–10:10 James CummingsLarge cardinals and forcing (mini course (1/4))
10:30–11:15 David Asperó
Forcing locally definable well-orders
of the universe without the GCH [slides]
11:25–12:10 Laura Fontanella
Large properties at small cardinals
14:00–14:45 Michael HrušákGeneric existence of MAD families
15:10–15:55 Teruyuki Yorioka
Side condition method and the preservation of a tower in ${\cal P}(\omega)$
16:10–16:55 Aleksander Błaszczyk
$P_\lambda$-filters and regular embeddings


September 10 (Tu)

 

09:00–10:00 James CummingsLarge cardinals and forcing (mini course (2/4))
10:30–11:15 Andrew Brooke-Taylor
On cardinal characteristics of large cardinals
11:25–12:10 Diego Alejandro Mejía Guzmán
Template iterations with non-definable posets
12:10–13:50      Lunch Time
13:50–14:20 Osvaldo Guzman
Namba forcing and set theory of the reals
14:30–15:00 Arturo Antonio Martinez
Canjar Ideals
15:20–15:50 Jonathan Cancino Manriquez
Countable irresolvable spaces
16:00–16:20 Shohei Tajiri
A remark on “Can you take Solovay’s inaccessible away?”
16:30–17:00 David Chodounský
Some combinatorics in ${\cal P}(\omega)$
[slides]


September 11 (We)
12:00–13:40     Lunch Time
Short talks session:

09:00–10:00 James CummingsLarge cardinals and forcing (mini course (3/4))
10:30–12:00 Stevo Todorčević;Combinatorial Reflection Principles
13:40–14:00 Vincenzo Dimonte
Very Large Cardinals and the failure of GCH
14:05–14:25 Luz María García-Ávila
A forcing notion related to Hindman’s Theorem (new properties)
14:30–14:50 Sakaé Fuchino
A proof of the Fodor-type
Reflection Principle from the Rado Conjecture
[slides]
14:55–15:15 Toshimichi Usuba
Superdestructibility of superstrong
and other large cardinals
[preprint]
15:20–15:40 Hiroshi Sakai
$n$-stationary sets and $\Pi^1_{n-1}$-indescribable
cardinals


September 12 (Th)

09:00–10:00 James CummingsLarge cardinals and forcing (mini course (4/4))
10:20–11:05 Masahiro Shioya
A simplified approach to saturated ideals
11:15–12:00 Tadatoshi Miyamoto
Matrices of isomorphic models and morass-like structures
12:10–13:40      Lunch Time
13:40–14:25 Ulises Ariet Ramos García
Intersection numbers of families of ideals
14:35–15:20 Liuzhen Wu
$\Delta_1$ definability of the full nonstationary ideal on
cardinals
15:20–15:30    Closing

 

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