計算による数理科学の展開 (http://www.math.kobe-u.ac.jp/cm)

計算による数理科学の展開 2008 (Lectures)

 日時: 2008年11月26日(月曜日) 11:00--16:45, 
 DATE: November 26, 2007(Monday) 11:00--16:45, 
 場所: 神戸大学. 自然科学3号館内 421 号室
     (神戸大学大学院工学研究科 新井プロジェクト内プレゼンテーション室)
 PLACE: Kobe University, Building 3 of the graduate school of science and technology,  Room 421
 Contact:  Joerg Brendle



１１：００〜１２：００

Michael Hrusak (UNAM, Morelia, Mexico)

KATETOV ORDER

Abstract: We will discuss the Katetov order on Borel ideals on the
natural numbers.
In particular we will mention two dichotomy theorems and connection to
Ramsey theory.


video 

--- lunch break ---


２：００〜３：００

Istvan Juhasz (Hungarian Academy of Sciences, Budapest, Hungary)

CONVERGENCE AND CHARACTER SPECTRA OF COMPACT SPACES

Abstract: see the attached  pdf file


video 


--- coffee break ---


３：４５〜４：４５

Carlos diPrisco (IVIC, Caracas, Venezuela)

PARAMETRIZED PARTITION RELATIONS

Abstract: We consider partitions relations defined on finite or
infinite products
of the Baire space.
A set A of infinite sets of natural numbers is Ramsey if there is an
infinite set X such that all of its infinite subsets are in A or
none of them is in A, in this case we say that X is homogeneous for A.
In Solovay's model all sets of reals (reals seen as infinite sets of
integers) are Ramsey. Moreover, if for each x in the Cantor space we have a
set of reals Ax, there is a perfect subset P of the Cantor space and an
infinite set X of natural numbers such that X is homogeneous for all Ax
with x in P. Stronger parametrized partition relations also hold in
Solovay's model.

video 

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