### RIMS Set Theory Workshop 2013

## Reflection principles and set theory of large cardinals

### September 9 - 12, 2013

### Kyoto, Japan

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#### Overview

Reflection properties are one of the most important features of
large cardinals. It is
also very often the case that some kind of collapsing of large
cardinals endows small cardinals like $\color{white}\aleph_2$ with
very strong reflection properties. Reflection properties also
have may applications to topology and to the theory of infinite algebraic structures.
In this years RIMS workshop, we shall reexamine recent developements in set theory
in light of various reflection principles.
As is usually the case
in this series of annual RIMS workshops in set theory, besides this main theme of
the meeting, there will be also talks on topics in set theory which might not be
directly connected to this main theme, as well as talks
on some application of set theory in other fields of mathematics.

#### 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.
**Prospective participants should contact the organizer, Sakaé
Fuchino (see the email address below),
as early as possible.**

#### Expected participants

Besides the two main speakers the following people among others are going
to give talks at the meeting:
- David Asperó
- Aleksander Błaszczyk
- David Chodounsky
- Vincenzo Dimonte
- Laura Fontanella
- Luz María García-Ávila
- Michael Hrušák
- Yurii Khomskii
- Diego Alejandro Mejía
- Hiroshi Sakai
- Masahiro Shioya
- Toshimichi Usuba
- Liuzhen Wu
- Teruyuki Yorioka

#### Dates, venue, and organizer

This workshop is one in the series of workshops held in Japan annually and supported by the
Research Institute for Mathematical Sciences (RIMS).
Here are web pages of some recent meetings:

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