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Recent seminar announcements
 David J. Fernández Bretón: mathfrak p=mathfrak t Michigan Logic Seminar
 Zoltán Vidnyánszky: Antibasis results for graphs of infinite Borel chromatic number Toronto Set Theory Seminar
 Judyta Bąk: Domain theory and topological games Wrocław University of Technology
 Michał Tomasz Godziszewski – Computable quotient presentations of models of arithmetic and set theory Kurt Godel Research Center
 CMU math logic seminar Tue Mar 21, Bartošová on “Freedom of action in combinatorial terms” Carnegie Mellon Logic Seminar
 Andres Caicedo: MRP and squares, II Michigan Logic Seminar
 David Aspero: Generic absoluteness for Chang models Bristol Logic Seminar
 Andres Caicedo: MRP and squares Michigan Logic Seminar
 Piotr Szewczak: The Scheepers property and products of Menger spaces Wrocław University of Technology
 Peter Holy: A Hierarchy of Ramsey cardinals Bristol Logic Seminar
Upcoming conferences
 April 1: MAMLS at VCU, April 12, 2017
 May 5: Noncommutative Geometry and Operator Algebras, Nashville, May 511, 2017
 July 3: 6th European Set Theory Conference, Budapest, July 37, 2017
 July 10: 10th Young Set Theory Workshop, Edinburgh, July 1014, 2017
 August 2: A conference on the occasion of Jensen’s 80th birthday, Münster, Aug 02–Aug 04, 2017
 August 14: Logic Colloquium 2017, August 1420, 2017
 August 20: Frontiers of Selection Principles, Warsaw, Aug 20 – Sep 1, 2017

Talks by venue
 Barcelona Set Theory Seminar (RSS)
 Boise Set Theory Seminar (RSS)
 Bonn Logic Seminar (RSS)
 Bristol Logic Seminar (RSS)
 Carnegie Mellon Logic Seminar (RSS)
 Dartmouth Logic Seminar (RSS)
 Israeli Logic Talks (RSS)
 Kurt Godel Research Center (RSS)
 Michigan Logic Seminar (RSS)
 Morelia Topology and Set Theory Seminar (RSS)
 New York Logic Seminars (RSS)
 NUS logic seminar (RSS)
 Prague Forcing Seminar (RSS)
 Prague Set Theory Seminar (RSS)
 Rutgers Logic Seminar (RSS)
 Toronto Set Theory Seminar (RSS)
 UC Irvine Set Theory Seminar (RSS)
 Wroclaw Set Theory Seminar (RSS)
 Wrocław University of Technology (RSS)
Talks by speaker
Alan Dow Alekos Kechris Aleksander Cieślak Aleksandra Kwiatkowska Alex Usvyatsov Alexei Kolesnikov Andre Nies Andreas Blass Andrés Caicedo Andrés Villaveces Andrew BrookeTaylor Andrew Marks Andy Zucker Antonio Avilés Anush Tserunyan Ari Brodsky Arnie Miller Arthur Apter Asaf Karagila Asger Tornquist Ashutosh Kumar Assaf Hasson Assaf Rinot Barnabas Farkas Benjamin Miller Bill Chen Bill Mitchell Boban Velickovic Borisa Kuzeljevic Brent Cody Burak Kaya Carlos Di Prisco Carlos MartinezRanero Charles Morgan Chris LambieHanson Christina Brech Clinton Conley Daisuke Ikegami Dana Bartošová Daniel Rodriguez Daniel Soukup David Aspero David Chodounsky David Fernández Bretón David J. Fernández Bretón David Marker David Milovich Diana Ojeda Diego Alejandro Mejia Dikran Dikranjan Dilip Raghavan Dima Sinapova Dimitrios Vlitas Egbert Thümmel Erez Shochat Erin Carmody Farmer Schlutzenberg François Dorais Frank Stephan Franklin Tall Gregory Cherlin Grigor Sargsyan Grzegorz Plebanek Gunter Fuchs Heike Mildenberger Hiroshi Sakai Hugh Woodin Ilijas Farah Ioannis Souldatos Isaac Goldbring István Juhász Itay Neeman James Cummings Jan Grebík Jan van Mill Janusz Pawlikowski Jay Williams Jean Larson Jindra Zapletal Joan Bagaria Joel David Hamkins John Baldwin John Clemens John Krueger John Steel Jonathan Verner Jordi LopezAbad Jörg Brendle Jose Iovino Jouko Väänänen Julien Melleray Juliette Kennedy Juris Steprans Justin Moore K. P. Hart Katharina Dupont Konstantinos Tyros Lajos Soukup Laura Fontanella Liljana Babinkostova Liuzhen Wu Luca Motto Ros Luz María García Ávila Lynn Scow Lyubomyr Zdomskyy Marcin Michalski Marcin Sabok Marion Scheepers Martin Goldstern Martin Zeman Martino Lupini Maryanthe Malliaris Masaru Kada Mati Rubin Matteo Viale Matthew D. Foreman Melvin Fitting Menachem Kojman Menachem Magidor Merlin Carl Michael Hrusak Michal Doucha Miguel Angel Mota Miha Habic Mike Pawliuk Mikhail Tkachenko Miodrag Sokic Mirna Džamonja Miyamoto Tadatoshi Monroe Eskew Moti Gitik Nadav Meir Nam Trang Natasha Dobrinen Norman Perlmutter Omer Ben Neria Osvaldo Guzman Osvaldo Guzmán González Paul Larson Paul McKenney Peng Yinhe Peter Holy Peter Koellner Peter Koepke Peter Komjath Peter Krautzberger Petr Simon Philip Welch Philipp Lücke Philipp Schlicht Pierre Simon Piotr BorodulinNadzieja Piotr Koszmider Ralf Schindler Randall Holmes Rick Statman Robert Ralowski Robin TuckerDrob Rodrigo R. Dias Roman Kossak Saharon Shelah Sakaé Fuchino Samuel Coskey Scott Cramer Scott Schneider Sean Cox Sebastien Vasey Sergei Artemov Shehzad Ahmed Sheila Miller Simon Thomas Slawomir Solecki Spencer Breiner Spencer Unger Stefan Geschke Stevo Todorcevic Su Gao Sy David Friedman Szymon Zeberski Teruyuki Yorioka Thilo Weinert Timothy Trujillo Todd Eisworth Todor Tsankov Tomek Bartoszynski Toshimichi Usuba Trevor Wilson Tristan Bice Uri Abraham Vera Fischer Victor Torres Perez Victoria Gitman Wieslaw Kubis Will Boney Wojciech Stadnicki Wolfgang Wohofsky Xianghui Shi Yair Hayut Yizheng Zhu Yurii KhomskiiCategories
Recent discussions
 10th Young Set Theory Workshop, Edinburgh, July 1014, 2017  Set Theory Talks on 6th Young Set Theory Workshop, June 1014, 2013
 10th Young Set Theory Workshop, Edinburgh, July 1014, 2017  Set Theory Talks on 9th Young Set Theory Workshop, Copenhagen, June 1317, 2016
 10th Young Set Theory Workshop, Edinburgh, July 1014, 2017  Set Theory Talks on 8th Young Set Theory Workshop, Jerusalem, October 2530, 2015
 1st Irvine Conference on Descriptive Inner Model Theory and HOD Mice, July 1829 2016  Set Theory Talks on Inner Model Theory events in California, June, 2014
 saf on Assaf Rinot: The strength of the generalized Souslin hypothesis
 10th Young Set Theory Workshop, Edinburgh, July 1014, 2017  Set Theory Talks on 6th Young Set Theory Workshop, June 1014, 2013
Seminar organizer’s toolbox
David Fernández Bretón earned a Ph.D. from the Department of Mathematics and Statistics of York University in Toronto, under the supervision of Juris Steprāns.
My main interests are Logic and Set Theory, especially Forcing and Large Cardinals (although my knowledge of the latter is not as deep as I would like), and their applications to Algebra and Analysis. I am currently working on the algebra and topology of the StoneČech compactification of groups, notably Abelian groups, and with idempotents in said compactification. I have also been interested in the Cardinal Invariants of the Continuum for a while.
In a much more informal fashion (pretty much as a hobby), I also like to look at alternative axiomatizations of set theory, such as NFU, and some (very basic) category theory. I am also interested in the Philosophy of Mathematics and in Ludwig Wittgenstein’s life and work.
Recent and upcoming talks by David J. Fernández Bretón
David J. Fernández Bretón: mathfrak p=mathfrak t
Thursday, March 30, 2017, from 4 to 5:30pm
East Hall, room 3088
Speaker: David J. Fernández Bretón (University of Michigan)
Title: mathfrak p=mathfrak t
Abstract:
In a series of (hopefully at most) two talks, I will present the proof, due to Maryanthe Malliaris and Saharon Shelah in 2012, that the cardinal invariants p and t are equal, which constitutes an extremely important result in the theory of Cardinal Characteristics of the Continuum. continue reading…
David J. Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem, III
Thursday, October 27, 2016, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Strong failures of higher analogs of Hindman’s theorem, III
Abstract:
Assuming the Continuum Hypothesis, Hindman, Leader and Strauss recently exhibited a colouring of the real line with two colours such that, for every uncountable set of reals, the collection of pairwise sums of these reals is panchromatic. continue reading…
David J. Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem, II
Thursday, October 20, 2016, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Strong failures of higher analogs of Hindman’s theorem, II
Abstract:
(One of the versions of) Hindman’s theorem states that, whenever we partition an infinite abelian group G in two cells, there exists an infinite subset X of G such that the set FS(X) consisting of all sums of finitely many distinct elements of X is entirely contained within one of the cells of the partition. continue reading…
David J. Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem, I
Thursday, October 13, 2016, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Strong failures of higher analogs of Hindman’s theorem, I
Abstract:
(One of the versions of) Hindman’s theorem states that, whenever we partition an infinite abelian group G in two cells, there exists an infinite subset X of G such that the set FS(X) consisting of all sums of finitely many distinct elements of X is entirely contained within one of the cells of the partition. continue reading…
David Fernández Bretón: An introduction to weak diamonds, II
Thursday, November 19, 2015; 16:0017:30; East Hall 3096
After having introduced the basics of weak diamond principles, we will show their usage with some examples: construction of a Suslin tree, of strongly summable ulrafilters, and of gruff ultrafilters. continue reading…
David Fernández Bretón: An introduction to weak diamonds
Thursday, November 5, 2015, 16:0017:30, 3096 East Hall.
I will introduce the basics of weak diamond principles, and show their usage with a couple of examples (construction of a Suslin tree and of a Ppoint). continue reading…
David Fernandez Breton: All that there is to know about gruff ultrafilters, II
Wednesday, September 23, 2015 — 16:00 to 17:30 — 3096 East Hall
An ultrafilter on the rational numbers is gruff if it has a base of perfect (this is, closed and without isolated points) sets. continue reading…
David Fernández Bretón: All that there is to know about gruff ultrafilters
Wednesday, September 16, 2015
3096 East Hall
16:0017:30.
Gruff ultrafilters are ultrafilters on the rational numbers that have a basis of perfect sets (according to the usual Euclidean topology). I will explain what is known about their existence, and hopefully (if there’s enough time) finish with a theorem of M. continue reading…
David Fernandez: A model of ZFC with strongly summable ultrafilters, small covering of meagre and large dominating number
Place: Fields Institute, Room 210
Date and time: Friday 23 January 2015 (13:3015:00)
Speaker: David Fernandez
Title: A model of ZFC with strongly summable ultrafilters, small covering of meagre and large dominating number. continue reading…
David Fernandez: Two microcontributions to the theory of Strongly Summable Ultrafilters
4 April 2014, 13:30–15:00
Fields institute, Room 210
Speaker: David Fernandez
Title: Two microcontributions to the theory of Strongly Summable Ultrafilters
Strongly Summable Ultrafilters are those generated by FSsets (where FS(X) is the set of all possible sums of finitely many elements from X (you can only add each element once)). continue reading…