### Schedule

June 24, 2005

**Maxim R. Burke**, UPEI

*Liftings for category algebras*

June 17, 2005

**Juris Steprans**, York University

*A regular CLP-compact space of countable tightness whose square is
not CLP-compact *

June 10, 2005

**Ilijas Farah**, York University

*Prikry problem for Suslin forcings *

June 3, 2005, 1:30-3:00pm

**Stevo Todorcevic**

*Representing Trees as Relatively Compact subsets of the first Baire
Class*

May 13, 2005, 1:30-3:00 pm, Room 210

**Dikran Dikranjan**, York University and University of Udine

*Characterizing subgroups of the circle and of the compact abelian
groups*

April 22, 2005, 1:30-3:00 pm, Room 210

**Juris Steprans**, York University

*A pigeon hole type of principle for measure spaces.*

April 15, 2005-- 1:30-3:00 pm, Room 210

**Goyo Mijares**, Universidad Central de Venezuela

*Parametrizing the abstract Ellentuck theorem* - Part III

April 8, 2005 -- 1:30-3:00 pm, Room 210

**Goyo Mijares**, Universidad Central de Venezuela

*Parametrizing the abstract Ellentuck theorem* - Part II

April 1, 2005 -- 1:30-3:00pm, Room 210

**Goyo Mijares**, Universidad Central de Venezuela

*Parametrizing the abstract Ellentuck theorem*

March 11, 1:30-3:00pm

**Lionel Nguyen Van The**, Universite Paris 7

*Partitioning Ultrametric Urysohn spaces*

**SET THEORY MINICONFERENCE**

March 4, 2005 -- Room 230

1:30-3:00 p.m.** Jean A. Larson**, University of Florida

*Coloring Paths in the Random Graph*

3:30-5:00 p.m. **Justin Tatch Moore**, Boise State University:

*Shelah's conjecture and the L space problem*

I will give an overview of two of my recent results:

1. PFA implies that the uncountable linear orders have a five element
basis.

2. There is a hereditarily Lindelof, non-separable topological space.

I will give an outline of both proofs and demonstrate that in the
case of (1), the new methods which were developed are essential in
some quantifiable way; e.g. FA(Axiom A) does not suffice.

5:30-7:00** p.m. Uri Abraham,** Carnegie Mellon University and
Ben Gurion University

*Polychromatic partition relations*

A function f from the unordered pairs of \lambda is k-bounded
iff there are no k pairs with the same color. A subset X of \lambda
is polychromatic iff all pairs from X have different colors. We study
the existence of large polychromatic sets for arbitrary 2-bounded
colorings. (This is joint work with J. Cummings and C. Smyth.)

February 28, 2005 - Room 210

1:30 - 3:00 p.m.** Paul B. Larson**, Miami University

*Pmax and the nonstationary*

February 25, 1:30-3pm

**Stuart Zoble**, University of Toronto

*Proving Projective Determinacy*

February 11, 2005

**Ilijas Farah**, York University

*Von Neumann's problem and large cardinals*

February 4, 2005

**Stevo Todorcevic**

*Biorthogonal systems and quotient spaces via Baire category methods,
Part VI*

January 28, 2005

** Stevo Todorcevic**

*Biorthogonal systems and quotient spaces via Baire category methods,
Part III*

January 21, 2005

** Stevo Todorcevic**

*Biorthogonal systems and quotient spaces via Baire category methods,
Part II*

January 14, 2005

** Stevo Todorcevic**

*Biorthogonal systems and quotient spaces via Baire category methods*

January 7, 2005

**Slawek Solecki**, University of Illinois, Urbana-Champaign

*Local amenability and measure small sets*

I will talk about a class of Polish groups which is closely related
to a notion of measure small sets (left Haar null sets). The definition
of this class of groups is obtained by suitably localizing to the identity
element of the notion of amenability. I will present results on the
extent of this class. For such groups left Haar null sets have many
desired properties (they are a $\sigma$-ideal and have the Steinhaus
property). I will give proofs of these results. It turns out that opposite
to Polish groups which are amenable at the identity are Polish groups
which have a non-Abelian free subgroup at the identity. I will make
this precise. For such groups left Haar null sets lose the essential
properties they enjoy for amenable at $1$ groups. I will present these
results as well.

December 20, 2004

**Mike Oliver**, University of North Texas

*Many quotient Boolean algebras*

We develop a technique for constructing large collections of Borel ideals
on the natural numbers whose quotient Boolean algebras are pairwise
nonismorphic. We apply it to show that there are continuum-many (in
fact, at least $E_0$-many) such nonisomorphic Boolean algebras that
are quotients by $\tboldsymbol{Pi}^0_3$ ideals.

November 26 - 1:30 p.m.

**Ilijas Farah**, York University

If you can prove it, then it must be true

November 22 - 1:30 p.m. Library

**Taras Banakh**, Nipissing University and National University of
Lviv

*Coherence of semifilters, II*

This is a continuation of the previous October's talk. This time we
will make emphasis on cardinal characteristics of semifilters (for details,
see http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology /booksite.html)

Also we shall discuss a recent joint result with A.Blass asserting that
the number of non-coherent ultrafilters is either finite or $\ge c$.

November 12 - 1:30 p.m.

**Beatriz Zamora-Aviles**, York University

*Countable dense homogeneity of definable spaces*

November 5 - 1:30 p.m.

**Paul Szeptycki,** York University

TBA

October 29 - 1:30 p.m.

**Taras Banakh**, National University of Lviv

**Ivan Franko**, Nipissing University

*Coherence of Semifilters*

October 25, 2005 -- 2:30 p.m. Fields Library

**Menachem Magidor**, Hebrew University

*Reflection of Second Order Properties*

October 22, 2004 -- 1:30 p.m.

**Michael Hrusak**, Instituto de Matematicas Unidad Morelia

TBA

October 15, 2004 -- l:30 p.m. Fields Library

**Ilijas Farah**, York University

TBA

October 8, 2004 -- 1:30 p.m.

**Gábor Lukács,** Dalhousie University

*Structure and cardinal invariants of topological groups*

October 1, 2004 -- 1:30 p.m.

**Stuart Zoble**, University of Toronto

* Weak Capturing and Stationary Reflection*

September 24, 2004 -- 1:30 p.m.

**Stuart Zoble**, University of Toronto

* Weak Capturing and Stationary Reflection*

September 17, 2004 -- 1:30 p.m.

**Ilijas Farah**, York University

*Fubini properties of sigma-ideals*

September 1, 2004

**Victoria Lubitch, **York University

*Left-separated spaces and linearly Lindelof spaces*

August 25, 2004 -- 1:30 p.m

**James Hirschorn**, Institut für Formale Logik, University
of Vienna

*Nonhomogeneous analytic families of trees, part III*.

August 18, 2004 --1:30 p.m.

**James Hirschorn**, Institut für Formale Logik, University
of Vienna

*Nonhomogeneous analytic families of trees, part II*

August 11, 2004 -- 1:30pm

**James Hirschorn**, Institut für Formale Logik, University
of Vienna

*Nonhomogeneous analytic families of trees*

Aug 4, 2004 --1:30 p.m.

**Frank Tall**, University of Toronto

*Some applications and possible applications of PFA(S)[S] *

July 28, 2004 -- 1:30 p.m.

Otmar Spinas, Christian Albrechts University, Kiel

*F_sigma and G_delta splitting families*

July 21, 2004 --1:30 p.m.

**Stevo Todorcevic**

*Between the von Neumann and the Control Measure Problems*

July 14, 2004 -- p.m.

**Piotr Koszmider**, Universidade de São Paulo

*Banach spaces of continuous functions with few decompositions.*

July 7, 2004 -- 1:30 p.m.

**Piotr Koszmider**, Universidade de São Paulo

*On a problem of Rolewicz about Banach spaces that admit support sets.*

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