6th Young Set Theory Workshop, June 10-14, 2013

The workshop wil take place in Oropa (Piemonte-Italy) in a congress center located in a medieval sanctuary in the midst of the alpine region of north west Piemonte. The aims of the “Young Set Theory Workshops” are to bring together young researchers in the domain of set theory and give them the opportunity to learn from each other and from experts in a friendly environment. A long-term objective of this series of workshops is to create and maintain a network of young set theorists and senior researchers, so as to establish working contacts and help disseminate knowledge in the field. These aims are reflected by the format of this year workshop. Tutorial speakers are:

  • James Cummings – Large cardinals: PCF-theory and its interactions with large cardinals, forcing and L-like combinatorial principles. The tutorial will focus on applications of Shelah’s PCF-theory outside cardinal arithmetic, including constructions for Jónsson algebras, strong covering lemmas, and constructions for almost-free, non-free objects.
  • Sy David Friedman – Forcing and combinatorial set theory: Descriptive set theory on \kappa. Assuming GCH, most of the basic notions of classical descriptive set theory generalize easily from Baire space {}^\omega\omega to generalized Baire space {}^\kappa\kappa, for an uncountable regular cardinal \kappa. But many of the theorems do not. The tutorial will discuss regularity properties and the Borel reducibility of definable equivalence relations in the generalized setting.
  • Su Gao – Descriptive Set Theory: Borel markers in the study of countable Borel equivalence relations. The tutorial will give an introduction to the theory of Borel markers in the study of countable Borel equivalence relations. Borel markers are important tools used to attach structures to the classes of countable Borel equivalence relations. They play a prominent role in the study of hyperfinite and treeable equivalence relations, and have applications in other topics such as the computation of Borel chromatic numbers.
  • John Steel – Inner Model Theory: Iteration Trees. The tutorial will cover the basic theory of iteration trees, and some of its applications. It starts at a basic level, defining ultrapowers of models of ZFC and their properties, and tries to keep the presentation accessible to anyone who has taken a graduate-level course in set theory. (In particular, no background in inner model theory will be assumed.)

 

Post doc speakers will be:

  • Scott Cramer – large cardinals: Inverse limit reflection and the structure of $L(V_{\lambda+1})$.
  • Tristan Bice – applications of set theory: Set Theory and Operator Algebras.
  • Luca Motto Ros – descriptive set theory: On the complexity of the embeddability relation between uncountable models.
  • Victor Torres – Perez – forcing and combinatorial set theory: Rado’s Conjecture and Ascent Paths of Square Sequences.
  • Trevor Wilson – inner model theory: A dichotomy for $(\Sigma_1^2)^{\text{Hom}_\infty}$ sets of reals, with applications to generic absoluteness.

You can write to matteo.viale@unito.it to get further information

Links to previous meetings:

 

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6 responses to “6th Young Set Theory Workshop, June 10-14, 2013

  1. Registration is now open!
    (Ph.D. and master students in logic with a keen interest in set theory are strongly encouraged to apply and special registration fees are available to them, however the conference is open to all interested scholars. )

    • *** ——————– YSTW 2013 – DEADLINE EXTENSION ————————- ***

      Due to the availability of further grants, the deadline for registration to the YSTW 2013
      (the 6th edition of the Young Set Theory Workshops, taking place in Oropa Italy 10-14th june 2013)
      has been extended to the 15th of march 2013.
      The full registration fee is 300 euros (including a double room with full board for all the days of the conference – 350 if a single room is requested). We dispose of at least 50 reduced fees of 150 euros, 10 reduced fees of 70 euros and 10 reduced fees of 0 euros.
      Priority in the attribution of reduced fees will be given to Ph.D. students in logic,
      however all applicants can request these special fees.
      Full details on the registration procedure are given at the info and registration pages of the conference, whose official website is

      http://www2.dm.unito.it/paginepersonali/viale/YST2013/yst2013-home.html.

      Recall that the aims of the Young Set Theory Workshops are to bring together young researchers in the domain of set theory and give them the opportunity to learn from each other and from experts in a friendly environment. A long-term objective of this series of workshops is to create and maintain a network of young set theorists and senior researchers, so as to establish working contacts and help disseminate knowledge in the field. These aims are reflected by the format of this year workshop, which consists of:
      • Four tutorials by established experts: James Cummings, Sy Friedman, Su Gao, John Steel.
      • Five invited talks by young researchers: Tristan Bice, Scott Cramer, Luca Motto Ros, Victor Perez Torres, Trevor Wilson.
      • Open discussion sessions

    • Those wishing to register to the YSTW 2013 can still do so until the 15th of may 2013 but only with the full registration fees (300 euros in double room with full board for all the days of the conference – 350 if a single room is requested).

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