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tensor product graph Rado's conjecture Chromatic number stick Generalized descriptive set theory Well-behaved magma very good scale Forcing sap GMA Singular cardinals combinatorics Sierpinski's onto mapping principle Parameterized proxy principle Partition Relations Cardinal Invariants Almost countably chromatic Jonsson cardinal Vanishing levels Ascent Path Knaster and friends unbounded function Subnormal ideal b-scale Non-saturation Subadditive Open Access Rainbow sets Analytic sets Erdos Cardinal Hereditarily Lindelöf space Successor of Singular Cardinal Strong coloring SNR stationary reflection positive partition relation P-Ideal Dichotomy Luzin set free Boolean algebra xbox Axiom R projective Boolean algebra Absoluteness Uniformly homogeneous Fodor-type reflection Uniformization weak diamond higher Baire space O-space OCA Diamond for trees Uniformly coherent Selective Ultrafilter Strongly Luzin set Cardinal function Slim tree square Nonspecial tree Dowker space Commutative cancellative semigroups Almost Souslin Sigma-Prikry Fast club Closed coloring Filter reflection Subtle cardinal transformations regressive Souslin tree C-sequence Erdos-Hajnal graphs PFA(S)[S] nonmeager set specializable Souslin tree Ostaszewski square ZFC construction Singular Density Poset Minimal Walks Martin's Axiom club_AD Kurepa Hypothesis Aronszajn tree Was Ulam right Singular cofinality Prevalent singular cardinals S-Space Local Club Condensation. 54G20 Chang's conjecture Hindman's Theorem Lipschitz reduction Small forcing Diamond Foundations countably metacompact free Souslin tree Diamond-sharp Knaster Subtle tree property Almost-disjoint family polarized partition relation diamond star Fat stationary set indecomposable ultrafilter super-Souslin tree weak square AIM forcing Square-Brackets Partition Relations Postprocessing function incompactness Precaliber Club Guessing Forcing Axioms Amenable C-sequence Large Cardinals full tree Microscopic Approach Whitehead Problem stationary hitting middle diamond Universal Sequences approachability ideal Hedetniemi's conjecture Reflecting stationary set Distributive tree Souslin Tree ccc L-space Dushnik-Miller Ramsey theory over partitions square principles Sakurai's Bell inequality Rock n' Roll Weakly compact cardinal reflection principles strongly bounded groups HOD Antichain Prikry-type forcing Greatly Mahlo Generalized Clubs Coherent tree Mandelbrot set Reduced Power weak Kurepa tree Ulam matrix Iterated forcing Successor of Regular Cardinal Shelah's Strong Hypothesis PFA Constructible Universe Ineffable cardinal Cohen real coloring number
Category Archives: Invited Talks
The 14th International Workshop on Set Theory in Luminy, October 2017
I gave an invited talk at the 14th International Workshop on Set Theory in Luminy in Marseille, October 2017. Talk Title: Distributive Aronszajn trees Abstract: It is well-known that that the statement “all $\aleph_1$-Aronszajn trees are special” is consistent with ZFC … Continue reading
6th European Set Theory Conference, July 2017
I gave a 3-lecture tutorial at the 6th European Set Theory Conference in Budapest, July 2017. Title: Strong colorings and their applications. Abstract. Consider the following questions. Is the product of two $\kappa$-cc partial orders again $\kappa$-cc? Does there exist … Continue reading
Posted in Invited Talks, Open Problems
Tagged b-scale, Cohen real, Luzin set, Minimal Walks, Souslin Tree, Square-Brackets Partition Relations
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ASL North American Meeting, March 2017
I gave a plenary talk at the 2017 ASL North American Meeting in Boise, March 2017. Talk Title: The current state of the Souslin problem. Abstract: Recall that the real line is that unique separable, dense linear ordering with no endpoints in … Continue reading
MFO workshop in Set Theory, February 2017
I gave an invited talk at the Set Theory workshop in Obwerwolfach, February 2017. Talk Title: Coloring vs. Chromatic. Abstract: In a joint work with Chris Lambie-Hanson, we study the interaction between compactness for the chromatic number (of graphs) and … Continue reading
Posted in Invited Talks
Tagged Chromatic number, coloring number, incompactness, stationary reflection
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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
Posted in Invited Talks
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: