Recent and upcoming talks by Monroe Eskew

Monroe Eskew: Local saturation of the nonstationary ideals

Talk held by Monroe Eskew (KGRC) at the KGRC seminar on 2018-03-22. Abstract: It is consistent relative to a huge cardinal that for all successor cardinals $\kappa$, there is a stationary $S \subseteq \kappa$ such that the nonstationary ideal on $\kappa$ restricted to $S$ is $\kappa^+$-saturated. continue reading…

Iterated Forcing Theory and Cardinal Invariants, Kyoto, November 6 – 9, 2017

RIMS Workshop on Iterated Forcing Theory and Cardinal Invariants November 6 – 9, 2017 at the Research Institute for Mathematical Sciences (RIMS), Kyoto University ORGANIZER: Jörg Brendle (Kobe) MINICOURSE: Diego Mejía (Shizuoka)  Recent (and not that recent) forcing techniques on finite support iterations SPEAKERS: David Asperó (Norwich) Few new reals Fabiana Castiblanco (Münster) David Chodounský (Praha) Monroe Eskew (Wien) Local saturation at every successor cardinal JiaLiang He (Chengdu) An elementary proof of p = t Daisuke Ikegami (Tokyo) On supercompactness of $\omega_1$ Hiromi Ishii (Tsukuba) Reflection Principle and construction of saturated ideals on $\mathcal P_{\omega_1}(\lambda)$ Yo Matsubara (Nagoya) On the existence of skinny stationary subsets Tadatoshi Miyamoto (Nagoya) No Suslin trees but a non-special Aronszajn tree exists by a side condition method Francesco Parente (Norwich) Keisler’s order via Boolean ultrapowers André Rodrigues (Kobe) Hiroshi Sakai (Kobe) On models generated by uncountable indiscernible sequences Dmitri Shakhmatov (Matsuyama) Compactness-like properties de ned by open-point games and maximal almost disjoint families Toshimichi Usuba (Tokyo) $G_\delta$ modification and large cardinals Teruyuki Yorioka (Shizuoka) Aspero-Mota’s finitely proper forcing axiom and k-entangled sets of reals Yasuo Yoshinobu (Nagoya) A further variation of the Banach-Mazur game and forcing axioms continue reading…

Monroe Eskew: Global Chang’s Conjecture

KGRC Research seminar on 2017-10-19 at 4pm. Speaker: Monroe Eskew (KGRC) Abstract: Instances of Chang’s Conjecture (CC) can be seen as a generalization of the Loweheim-Skolem Theorem to a logic in between those the first and second order. continue reading…

MAMLS at VCU, April 1-2, 2017

MAMLS at VCU will be a gathering of set theorists working on large cardinals, inner models, forcing and relative consistency results, sponsored by the NSF and the Department of Mathematics and Applied Mathematics at Virginia Commonwealth University. continue reading…

BEST 2016 slides

The 23rd BEST conference was held June 15–16 in San Diego, CA. Shehzad Ahmed – Jonsson cardinals and pcf theory Liljana Babinkostova – A weakening of the closure operator Kyle Beserra – On the conjugacy problem for automorphisms of countable regular trees Erin Carmody – Killing them softly William Chan – Every analytic equivalence relation with all Borel classes is Borel somewhere John Clemens – Relative primeness of equivalence relations Paul Corazza – The axiom of infinity, quantum field theory, and large cardinals Cody Dance – Indiscernibles for $L[T_2,x]$ Natasha Dobrinen – Ramsey spaces coding universal triangle-free graphs and applications to Ramsey degrees Paul Ellis – A Borel amalgamation property Monroe Eskew – Rigid ideals Daniel Hathaway – Disjoint Borel functions Jared Holshouser – Partition properties for non-ordinal sets under the axiom of determinacy Paul McKenney – Automorphisms of $\mathcal P(\lambda)/\mathcal I_\kappa Kaethe Minden – Subcomplete forcing and trees Daniel Soukup – Orientations of graphs with uncountable chromatic number Simon Thomas – The isomorphism and bi-embeddability relations for finitely generated groups Douglas Ulrich – A new notion of cardinality for countable first order theories Kameryn Williams – Minimal models of Kelley-Morse set theory Martin Zeman – Master conditions from huge embeddings continue reading…

High and low forcing, San Jose, Jan 11 – 15, 2016

High and low forcing January 11 to January 15, 2016 at the American Institute of Mathematics, San Jose, California organized by Itay Neeman and Dima Sinapova This workshop, sponsored by AIM and the NSF, is devoted to new methods of forcing, in infinitary combinatorics, and in connection with axioms about the real line. continue reading…

Graduate Summer School in Set Theory (Irvine), July 6 – 17, 2015

There will be a summer school for graduate students in set theory from July 6 through July 17, 2015, at the University of California, Irvine. The summer school is supported by NSF Grant DMS-1044150. continue reading…

Monroe Eskew: Global Chang conjectures and generic supercompactness

Time: Mon, 03/09/2015 – 4:00pm – 5:30pm Location:  RH 440R Speaker: Monroe Eskew (Tsukuba University, Japan) Title: Global Chang conjectures and generic supercompactness Abstract: Starting from a 2-huge cardinal, we construct a model where for all pairs of regular cardinals kappa<lambda, (lambda^+,lambda) –> (kappa^+,kappa) and there is a lambda^+ saturated ideal on P_{kappa^+}(lambda). continue reading…

Infinitary Combinatorics in Set Theory and Its Applications, November 10-13, 2014

RIMS Set Theory Workshop 2014 Infinitary Combinatorics in Set Theory and Its Applications November 10 – 13, 2014 Kyoto, Japan   Overview Infinitary Combinatorics is a classical and main topic of axiomatic set theory. continue reading…

Logic in Southern California Caltech, May 10, 2014

LOGIC IN SOUTHERN CALIFORNIA Saturday, May 10, 2014 Rowland Hall 306 Funded by NSF Grant DMS-1044150   Schedule: 2:00 – 3:00  Sherwood Hachtman (UCLA) 3:30 – 4:30  Bill Chen (UCLA) 5:00 – 6:00  Monroe Eskew (UCI)   Abstracts of the talks: Sherwood Hachtman:   The Strength of Borel Determinacy It is a landmark result of Martin that Borel determinacy is a theorem of ZF. continue reading…