impan seminar:

working group in applications of set theory



Thursday, 01.03. 2018, 10:15, room 105, Wieslaw Kubis (Czech Academy and UKSW) "On the weak amalgamation property "

Abstract: "The somewhat technical weak amalgamation property (weak AP) of models with embeddings was identified first by Ivanov in 1999 during his study of generic automorphisms, later re-discovered by Kechris and Rosendal (2007), again studying generic automorphisms. Recently, we have discovered, jointly with Adam Krawczyk, that the weak amalgamation property plays essential role in characterizing the existence of a winning strategy in the abstract Banach-Mazur game, played with models and embeddings. We shall describe the main results relating this game with the weak AP. Next, we shall present some new examples of hereditary classes of finite structures with the weak AP, failing its stronger version called the cofinal AP. The material comes from joint works with A. Krawczyk, A. Kruckman, and A. Panagiotopoulos.".

Previous talks this semester:









Talks in the first semester of 2017-18.

Talks in the second semester of 2016-17.

Talks in the first semester of 2016-17.

Talks in the second semester of 2015-16.

Talks in the first semester of 2015-16.

Talks in the second semester of 2014-15.

Talks in the first semester of 2014-15.

Talks in the second semester of 2013-14.

Talks in the first semester of 2013-14.

Talks in the second semester of 2012-13.

Talks in the first semester of 2012-13.

Talks in the second semester of 2011-12.

Talks in the first semester of 2011-12.

Time and place: Thursdays 10.15-12.00 am, room 105, Sniadeckich 8


The scope of the seminar: Set-theoretic combinatorial and topological methods in diverse fields of mathematics, with a special emphasis on abstract analysis like Banach spaces, Banach algebras, C*-algebras, Here we include both the developing of such methods as forcing, descriptive set theory, Ramsey theory as well as their concrete applications in the fields mentioned above.

Working group style: We will make efforts so that this seminar has more a working character rather than the presentation style. This means that we encourage long digressions, discussions, background preparations and participation of everyone. We would like to immerse ourselves into the details of the mathematical arguments studied. Also the talks are usualy devoted to research in progress or fascinating results leading to some project not yet resolved. While ready final results could be presented at other seminars at IM PAN or UW.

Participants this semester so far:

  • Tristan Bice (IM PAN/WCNM)
  • Michał Tomasz Godziszewski (Ph. D. student IMPAN)
  • Tomasz Kochanek (IM PAN/UW)
  • Piotr Koszmider (IM PAN)
Forthcoming talks :


  • 08.03.2018 ?

  • 15.03.2018 Piotr Koszmider will talk about diamond "constructions schemes" proposed recently by Todorcevic (S. Todorcevic, A construction scheme for non-separable structures. Adv. Math. 313 (2017), 564589.) and some applications.

  • 22.03.2018 Tomasz Kochanek will talk about Fernandez-Polo's and Peralta's proof of Pfitzner's theorem concerning a characterization of weakly compact sets in the dual space to a C*-algebra.