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Recent seminar announcements
 Daniel T. Soukup: Monochromatic sumsets for colouring of the real numbers Budapest Logic Seminar
 Piotr Koszmider: Dimension drop phenomena and compact supports in noncommutative topology Toronto Set Theory Seminar
 Olena Karlova: Extension of Borel maps and Borel retracts of topological spaces Wrocław University of Technology
 Moritz Müller: On the relative strength of finitary combinatorial principles Kurt Godel Research Center
 Jose Iovino: Definability in linear functional analysis Toronto Set Theory Seminar
 Yair Hayut: Subcompact cardinals Israeli Logic Talks
 Bill Chen: A small Dowker space Israeli Logic Talks
 Jonathan Verner: Coloring metric spaces Prague Set Theory Seminar
 David J. Fernández Bretón: More Ramseytheoretic statements: uncountably many colours, finite monochromatic sets Michigan Logic Seminar
 Jan Pachl: Topological centres for group actions Toronto Set Theory Seminar
Upcoming conferences
 January 10: 1st MexicoUSA Logic Fest, Mexico City, January 10 – 13, 2018
 January 27: Winter School, Hejnice, Jan 27 – Feb 3, 2018
 April 22: Set Theory, Model Theory and Applications (In memory of Mati Rubin), Eilat, April 2226, 2018
 June 25: 11th Young Set Theory Workshop, Lausanne, June 25–29, 2018
 July 23: Logic Colloquium 2018, Udine, July 23 – 28, 2018

Talks by venue
 Barcelona Set Theory Seminar (RSS)
 Boise Set Theory Seminar (RSS)
 Bonn Logic Seminar (RSS)
 Bristol Logic Seminar (RSS)
 Budapest Logic Seminar (RSS)
 Carnegie Mellon Logic Seminar (RSS)
 Dartmouth Logic Seminar (RSS)
 Israeli Logic Talks (RSS)
 Kurt Godel Research Center (RSS)
 Logic Seminar in Turin (RSS)
 Michigan Logic Seminar (RSS)
 Morelia Topology and Set Theory Seminar (RSS)
 New York Logic Seminars (RSS)
 NUS logic seminar (RSS)
 Prague Set Theory Seminar (RSS)
 Rutgers Logic Seminar (RSS)
 Toronto Set Theory Seminar (RSS)
 UC Irvine Set Theory Seminar (RSS)
 Wrocław University of Technology (RSS)
Talks by speaker
A.R.D. Mathias Alan Dow Alekos Kechris Aleksander Cieślak Aleksandra Kwiatkowska Alessandro Vignati Alexei Kolesnikov Andreas Blass Andrés Caicedo Andrés Villaveces Andrew BrookeTaylor Andrew Marks Andy Zucker Antonio Avilés Anush Tserunyan Ari Brodsky 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 Christian Rosendal Christina Brech Clinton Conley Daisuke Ikegami Damian Sobota Dana Bartošová Daniel Rodriguez Daniel Soukup David Aspero David Chodounsky David J. Fernández Bretón David Marker David Milovich David Schrittesser Diana Ojeda Diego Alejandro Mejia Dikran Dikranjan Dilip Raghavan Dima Sinapova Dimitrios Vlitas Egbert Thümmel Erez Shochat Erin Carmody Frank Stephan Franklin Tall Giorgio Laguzzi Gregory Cherlin Grigor Sargsyan Grzegorz Plebanek Gunter Fuchs Heike Mildenberger Hiroshi Sakai Hugh Woodin Ilijas Farah Ioannis Souldatos Isaac Goldbring István Juhász Itay Ben Yaacov Itay Neeman James Cummings Jan Grebík Jan Stary Jan van Mill 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 Konstantinos Tyros Lajos Soukup Laura Fontanella Liljana Babinkostova Lionel Nguyen Van The 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 Matteo Viale Matthew D. Foreman Melvin Fitting Menachem Kojman Menachem Magidor Merlin Carl Michael Hrusak Michal Doucha Miguel Angel Mota Miha Habic Mikhail Tkachenko Miodrag Sokic Mirna Džamonja Miyamoto Tadatoshi Monroe Eskew Moti Gitik Nadav Meir Nam Trang Natasha Dobrinen Norman Perlmutter Omer Ben Neria Omer Mermelstein 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 Piotr BorodulinNadzieja Piotr Koszmider Ralf Schindler Randall Holmes Robert Ralowski Robin TuckerDrob Rodrigo R. Dias Roman Kossak Saharon Shelah Sakaé Fuchino Salma Kuhlmann Samuel Coskey Scott Cramer Scott Schneider Sean Cox Sebastien Vasey Sergei Artemov Shehzad Ahmed Simon Thomas Slawomir Solecki Spencer Unger Stefan Geschke Stevo Todorcevic Su Gao Sy David Friedman Szymon Zeberski Taras Banakh Teruyuki Yorioka Thilo Weinert Thomas Johnstone Timothy Trujillo Todd Eisworth Todor Tsankov Tomek Bartoszynski Toshimichi Usuba Trevor Wilson Uri Abraham Vera Fischer Victor Torres Perez Victoria Gitman Vincenzo Dimonte Wieslaw Kubis Will Boney Wojciech Stadnicki Wolfgang Wohofsky Xianghui Shi Yair Hayut Yizheng Zhu Yurii Khomskii Zoltan VidnyanszkiCategories
Recent discussions
 11th Young Set Theory Workshop, Lausanne, June 25–29, 2018  Set Theory Talks on 8th Young Set Theory Workshop, Jerusalem, October 2530, 2015
 11th Young Set Theory Workshop, Lausanne, June 25–19, 2018  Set Theory Talks on 9th Young Set Theory Workshop, Copenhagen, June 1317, 2016
 11th Young Set Theory Workshop, Lausanne, June 25–19, 2018  Set Theory Talks on 10th Young Set Theory Workshop, Edinburgh, July 10–14, 2017
 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
 11th Young Set Theory Workshop, Lausanne, June 25–29, 2018  Set Theory Talks on 8th Young Set Theory Workshop, Jerusalem, October 2530, 2015
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: 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: Ultrafilters on the rationals generated by perfect sets
Place: Fields Institute (Room 210)
Date: June 17th, 2016 (13:3015:00)
Speaker: David Fernandez Bretón
Title: Ultrafilters on the rationals generated by perfect sets
Abstract: In a 1992 paper, van Douwen defined what he calls a
“gruff ultrafilter”: an ultrafilter on the rational numbers which
is generated by perfect (this is, closed and crowded) sets; and
asked whether these ultrafilters exist, providing in the same
paper a proof that they do if cov(M)=c. continue reading…
David Fernández Bretón: d=c implies that there are gruff ultrafilters
Thursday, February 25, 4:005:30 PM at CC Little 2502 (note the nonstandard building/room!!!)
I will show a proof of the statement in the title. Recall that a gruff ultrafilter was defined by van Douwen to be an ultrafilter on the rational numbers with a base of perfect subsets (where perfect means both closed (in the topology inherited from the usual Euclidean one from the reals) and crowded (without isolated points)). continue reading…
David Fernández Bretón: Gruff ultrafilters in the Random model
Thursday, January 28, 4:005:30 PM at CC Little 2502 (note the nonstandard building/room!!!):
A gruff ultrafilter (a concept introduced by van Douwen) is an ultrafilter on the rational numbers with a base of perfect subsets (where perfect means both closed (in the topology inherited from the usual Euclidean one from the reals) and crowded (without isolated points)). 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…