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Recent seminar announcements
 David J. Fernández Bretón: Models of set theory with union ultrafilters and small covering of meagre Michigan Logic Seminar
 Wang Wei: Combinatorics and Probability in First and Second Order Arithmetic NUS logic seminar
 Frank Tall: Coanalytic spaces, Kanalytic spaces, and definable versions of Menger’s conjecture Toronto Set Theory Seminar
 David Belanger: Randomness versus induction NUS logic seminar
 Stevo Todorcevic: Pideal dichotomy and versions of Souslin Hypothesis, continued Toronto Set Theory Seminar
 Two talks: Aurichi and de Rancourt Prague Set Theory Seminar
 Jing Zhang: Rado’s Conjecture and its Baire Version II Carnegie Mellon Logic Seminar
 Stevo Todorcevic: Pideal dichotomy and versions of Souslin Hypothesis Toronto Set Theory Seminar
 Dilip Raghavan: An application of PCF theory to cardinal invariants above the continuum NUS logic seminar
 Fulgencio Lopez: Adding Cohen reals also adds a capturing Construction Scheme Toronto Set Theory Seminar
Upcoming conferences
 April 22: Set Theory, Model Theory and Applications (In memory of Mati Rubin), Eilat, April 2226, 2018
 May 16: 2017 North American ASL Meeting, Illinois, March 2023, 2017
 June 25: 11th Young Set Theory Workshop, Lausanne, June 25–29, 2018
 July 16: First Girona inner model theory conference, Girona, July 1627 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
Alan Dow Alekos Kechris Aleksander Cieślak Aleksandra Kwiatkowska Alessandro Vignati Alexei Kolesnikov Andreas Blass Andrés Caicedo Andrés Villaveces Andrew BrookeTaylor Andrew Marks Andrew Toms 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 Boris Zilber Borisa Kuzeljevic Brent Cody Burak Kaya Carlos Di Prisco Carlos MartinezRanero Chris LambieHanson Christian Rosendal Christina Brech Clinton Conley Daisuke Ikegami 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 Dmitri Shakhmatov Egbert Thümmel Erez Shochat Erin Carmody Frank Stephan Franklin Tall Garrett Ervin 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 Jing Zhang 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 Kaethe Minden 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 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 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 Robert Ralowski Robin TuckerDrob Rodrigo R. Dias Roman Kossak Russell Miller 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 Timothy Trujillo Todd Eisworth Todor Tsankov Tomek Bartoszynski Toshimichi Usuba Trevor Wilson Tristan Bice Uri Abraham Vera Fischer Victor Torres Perez Victoria Gitman Vincenzo Dimonte Wieslaw Kubis Will Boney Wojciech Stadnicki Wolfgang Wohofsky Yair Hayut Yasuo Yoshinobu Yizheng Zhu Yurii KhomskiiCategories
Recent discussions
 Thematic Semester on Descriptive Set Theory and Polish groups, More info  Set Theory Talks on 11th Young Set Theory Workshop, Lausanne, June 25–29, 2018
 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
 Thematic Semester on Descriptive Set Theory and Polish groups, More info  Set Theory Talks on 11th Young Set Theory Workshop, Lausanne, June 25–29, 2018
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: Models of set theory with union ultrafilters and small covering of meagre
Thursday, February 15, 2018, from 4 to 5:30pm
East Hall, room 3088
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Models of set theory with union ultrafilters and small covering of meagre
Abstract:
Union ultrafilters are ultrafilters that arise naturally from Hindman’s finite unions theorem, in much the same way that selective ultrafilters arise from Ramsey’s theorem, and they are very important objects from the perspective of algebra in the Cech–Stone compactification. continue reading…
2nd Pan Pacific International Conference on Topology and Applications, November 13–17, 2017
The 2nd Pan Pacific International Conference on Topology and Applications (2nd PPICTA) had a special session in Set Theory, to which we now provide the slides.
(50min. talks)
1. David Chodounsky (Institute of Mathematics CAS)
Sacks indestructible ultrafilters and the HL property
2. continue reading…
David J. Fernández Bretón: More Ramseytheoretic statements: uncountably many colours, finite monochromatic sets
Thursday, December 7, 2017, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: More Ramseytheoretic statements: uncountably many colours, finite monochromatic sets
Abstract:
Hindman’s theorem states that for every colouring of an infinite abelian group with finitely many colours, there will be an infinite set whose finite sums are monochromatic. continue reading…
David J. Fernández Bretón: Higher degree versions of the Central Sets Theorem, II
Thursday, October 26, 2017, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Higher degree versions of the Central Sets Theorem, II
Abstract:
The Central Sets Theorem is a Ramseytheoretic result due to Furstenberg, from 1981, and multiple generalizations of it (in a variety of different directions) have been proved afterwards (to the best of my knowledge, the currently most general statement is due to De, Hindman and Strauss in 2008, but there are also many relevant results due to Bergelson). continue reading…
David J. Fernández Bretón: Higher degree versions of the Central Sets Theorem
Thursday, October 12, 2017, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: Higher degree versions of the Central Sets Theorem
Abstract:
The Central Sets Theorem is a Ramseytheoretic result due to Furstenberg, from 1981, and multiple generalizations of it (in a variety of different directions) have been proved afterwards (to the best of my knowledge, the currently most general statement is due to De, Hindman and Strauss in 2008, but there are also many relevant results due to Bergelson). continue reading…
David J. Fernández Bretón: mathfrak p=mathfrak t, III
Tuesday, April 18, 2017, from 4 to 5:30pm
East Hall, room 3096
Speaker: David J. Fernández Bretón (University of Michigan)
Title: mathfrak p=mathfrak t, III
Abstract:
This is the third and last talk in the series (reasonably selfcontained for those who missed any number of previous parts). continue reading…
David J. Fernández Bretón: mathfrak p=mathfrak t, II
Thursday, April 6, 2017, from 4 to 5:30pm
East Hall, room 3088
Speaker: David J. Fernández Bretón (University of Michigan)
Title: mathfrak p=mathfrak t, II
Abstract:
This is the second in a series of (hopefully at most) three talks, and it will be reasonably selfcontained for those who missed the first part. continue reading…
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 Fernández Bretón: Strong failures of higher analogs of Hindman’s theorem, IV
Thursday, November 3, 2016, from 4 to 5:30pm
East Hall, room 3096
Speaker: David Fernández Bretón (University of Michigan)
Title: Strong failures of higher analogs of Hindman’s theorem, IV
Abstract:
This is talk 4 out of 4. continue reading…