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Mandelbrot set Ramsey theory over partitions Slim tree Generalized Clubs Small forcing Chang's conjecture Forcing Axioms super-Souslin tree Foundations Intersection model stick Forcing Subtle tree property Singular cardinals combinatorics perfectly normal Nonspecial tree Almost countably chromatic Rado's conjecture b-scale Jonsson cardinal Subadditive stationary hitting Amenable C-sequence Commutative cancellative semigroups Ostaszewski square Rock n' Roll Reflecting stationary set free Boolean algebra Prikry-type forcing ccc Antichain Prevalent singular cardinals Generalized descriptive set theory Erdos-Hajnal graphs club_AD Subtle cardinal Uniformly coherent Lipschitz reduction Iterated forcing Large Cardinals positive partition relation Countryman line Forcing with side conditions Partition relations for trees Shelah's Strong Hypothesis square principles L-space P-Ideal Dichotomy Open Access Distributive tree Cardinal Invariants C-sequence Greatly Mahlo Fat stationary set Entangled linear order OCA unbounded function Rainbow sets Fast club Sakurai's Bell inequality regressive Souslin tree Strong coloring Successor of Regular Cardinal Club Guessing Cardinal function Sigma-Prikry strongly bounded groups nonmeager set approachability ideal Cohen real Poset Subnormal ideal Hedetniemi's conjecture indecomposable filter Was Ulam right? Ascent Path Non-saturation Microscopic Approach Strongly compact cardinal AIM forcing Square-Brackets Partition Relations transformations Ulam matrix Weakly compact cardinal Universal Sequences SNR Coherent tree tensor product graph Hindman's Theorem polarized partition relation reflection principles Diamond Diamond-sharp countably metacompact Partition Relations S-Space Axiom R Ineffable cardinal Analytic sets Minimal Walks weak diamond Uniformly homogeneous GMA PFA(S)[S] Almost-disjoint family HOD Knaster and friends Knaster Ascending path Fodor-type reflection Reduced Power O-space Interval topology on trees Kurepa Hypothesis Selective Ultrafilter Souslin Tree Dushnik-Miller higher Baire space Parameterized proxy principle Singular cofinality Well-behaved magma Sierpinski's onto mapping principle incompactness Whitehead Problem Postprocessing function square Commutative projection system very good scale Dowker space 54G20 Singular Density Constructible Universe Chromatic number coloring number Closed coloring middle diamond Filter reflection xbox weak square Luzin set Vanishing levels weak Kurepa tree Precaliber ZFC construction Local Club Condensation. projective Boolean algebra Diamond for trees free Souslin tree Uniformization Successor of Singular Cardinal Aronszajn tree full tree Martin's Axiom PFA stationary reflection Erdos Cardinal diamond star Strongly Luzin set Monotonically far Absoluteness specializable Souslin tree Hereditarily Lindelöf space Almost Souslin sap Respecting tree
Category Archives: Invited Talks
Set Theory and its Applications in Topology, September 2016
I gave an invited talk at the Set Theory and its Applications in Topology meeting, Oaxaca, September 11-16, 2016. The talk was on the $\aleph_2$-Souslin problem. If you are interested in seeing the effect of a jet lag, the video is … Continue reading
P.O.I. Workshop in pure and descriptive set theory, September 2015
I gave an invited talk at the P.O.I Workshop in pure and descriptive set theory, Torino, September 26, 2015. Title: $\aleph_3$-trees. Abstract: We inspect the constructions of four quite different $\aleph_3$-Souslin trees.
The Apter-Gitik birthday conference, May 2015
I give an invited (blackboard) talk at the Apter-Gitik birthday conference, Carnegie Mellon University, May 30-31 2015. Title: Putting a diamond inside the square. Abstract: By a 35-year-old theorem of Shelah, $\square_\lambda+\diamondsuit(\lambda^+)$ does not imply square-with-built-in-diamond_lambda for regular uncountable cardinals … Continue reading
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Forcing and its Applications Retrospective Workshop, April 2015
I gave an invited talk at Forcing and its Applications Retrospective Workshop, Toronto, April 1st, 2015. Title: A microscopic approach to Souslin trees constructions Abstract: We present an approach to construct $\kappa$-Souslin trees that is insensitive to the identity of … Continue reading
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Tagged Microscopic Approach, Parameterized proxy principle, Souslin Tree
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INFTY Final Conference, March 2014
I gave an invited talk at the INFTY Final Conference meeting, Bonn, March 4-7, 2014. [Curiosity: Georg Cantor was born March 3, 1845] Title: Same Graph, Different Universe. Abstract: In a paper from 1998, answering a question of Hajnal, Soukup … Continue reading
MFO workshop in Set Theory, January 2014
I gave an invited talk at the Set Theory workshop in Obwerwolfach, January 2014. Talk Title: Complicated Colorings. Abstract: If $\lambda,\kappa$ are regular cardinals, $\lambda>\kappa^+$, and $E^{\lambda}_{\ge\kappa}$ admits a nonreflecting stationary set, then $\text{Pr}_1(\lambda,\lambda,\lambda,\kappa)$ holds. Downloads:
Mathematics Colloquium, Bar-Ilan University, November 2013
I gave a colloquium talk at Bar-Ilan University on November 10, 2013. Title: Forcing as a tool to prove theorems Abstract: Paul Cohen celebrated solution to Hilbert’s first problem showed that the Continuum Hypothesis is independent of the usual axioms of … Continue reading
Set Theory Programme on Large Cardinals and Forcing, September 2013
I gave an invited talk at the Large Cardinals and Forcing meeting, Erwin Schrödinger International Institute for Mathematical Physics, Vienna, September 23–27, 2013. Talk Title: Hedetniemi’s conjecture for uncountable graphs Abstract: It is proved that in Godel’s constructible universe, for … Continue reading
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Tagged Almost countably chromatic, Chromatic number, Hedetniemi's conjecture
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ASL North American Meeting, March 2012
I gave a special session talk at the ASL 2012 North American Annual Meeting (Madison, March 31–April 3, 2012). Talk Title: The extent of the failure of Ramsey’s theorem at successor cardinals. Extended abstract: Ramsey’s theorem asserts that for every coloring … Continue reading
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CMS Winter Meeting, December 2011
I gave an invited special session talk at the 2011 meeting of the Canadian Mathematical Society. Talk Title: The extent of the failure of Ramsey’s theorem at successor cardinals. Abstract: We shall discuss the results of the following papers: Transforming … Continue reading
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Tagged Square-Brackets Partition Relations
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