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abstractssat [2013/10/18 19:53]
niwinski
abstractssat [2013/11/08 10:14] (current)
mostowski100
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 ** Abstract: **  Large scale geometry of finitely generated or locally compact groups has long been one of the cornerstones of geometric group theory and its connections with harmonic and functional analysis. However, many of the groups of interest in logic, topology and analysis fail to be locally compact, such as automorphism groups of countable structures, diffeomorphism and isometry groups. For these there has been no canonical way of defining their large scale structure, as it is possible, e.g., with the word metric on a finitely generated group. Moreover, recently many groups have turned out to have no non-trivial large scale structure at all, despite being non-compact. We present a theory of large scale structure of metrisable groups and among other things determine the necessary and sufficient conditions for this structure to be unique up to coarse or quasi-isometric equivalences. Applications to model theory will be presented.   ** Abstract: **  Large scale geometry of finitely generated or locally compact groups has long been one of the cornerstones of geometric group theory and its connections with harmonic and functional analysis. However, many of the groups of interest in logic, topology and analysis fail to be locally compact, such as automorphism groups of countable structures, diffeomorphism and isometry groups. For these there has been no canonical way of defining their large scale structure, as it is possible, e.g., with the word metric on a finitely generated group. Moreover, recently many groups have turned out to have no non-trivial large scale structure at all, despite being non-compact. We present a theory of large scale structure of metrisable groups and among other things determine the necessary and sufficient conditions for this structure to be unique up to coarse or quasi-isometric equivalences. Applications to model theory will be presented.  
  
-[[http://www.mimuw.edu.pl/~niwinski/Haifa/Christian.pdf|slides]] +{{:rosendal_mostowski100.pdf|slides}}
  
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 ** Abstract: ** We shall speak of some points of interest in set theory and applications over the last years and overlaps of this with model theory and foundations ** Abstract: ** We shall speak of some points of interest in set theory and applications over the last years and overlaps of this with model theory and foundations
  
-[[http://www.mimuw.edu.pl/~niwinski/Haifa/Mirna.pdf|slides]]+{{:dzamonja_mostowski100.pdf|slides}}
  
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 of the theory and partly by considerations related to amenability of groups. of the theory and partly by considerations related to amenability of groups.
  
-[[http://www.mimuw.edu.pl/~niwinski/Haifa/SSolecki.pdf|slides]]+{{:solecki_mostowski100.pdf|slides}}
  
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 ** Abstract: ** I will try to remember A. Mostowski, the human being, the scholar, the bridge builder, and his legacy, both in the context of the Cold War and from a personal perspective. ** Abstract: ** I will try to remember A. Mostowski, the human being, the scholar, the bridge builder, and his legacy, both in the context of the Cold War and from a personal perspective.
  
-[[http://www.mimuw.edu.pl/~niwinski/Haifa/Makowsky10.18.pdf|slides]]+{{:makovsky_mostowski100.pdf|slides}}