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Recent seminar announcements
 Clinton Conley: Realizing abstract systems of congruence Carnegie Mellon Logic Seminar
 Viera Šottová: The critical cardinality of spaces with respect to the ideal version of S_1(P,R) Prague Set Theory Seminar
 Vera Fischer: More ZFC inequalities between cardinal invariants Toronto Set Theory Seminar
 Asaf Karagila: Models of Bristol Bristol Logic Seminar
 Ashutosh Kumar: Saturated null and meager ideal NUS logic seminar
 Michał Korch: The class of perfectly null sets and its transitive version Prague Set Theory Seminar
 Damjan Kalajdzievski: Bounding, splitting, almost disjointness and covering of the meager ideal Toronto Set Theory Seminar
 Jing Zhang: How to get the brightest rainbows from the darkest colorings Carnegie Mellon Logic Seminar
 Borisa Kuzeljevic: Pideal dichotomy and some versions of the Souslin’s Hypothesis NUS logic seminar
 Set Theory Today – conference livestream Kurt Godel Research Center
Upcoming conferences

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 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 Chris LambieHanson 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 Carolina Montoya Diana Ojeda Diego Alejandro Mejia Dikran Dikranjan Dilip Raghavan Dima Sinapova Dimitrios Vlitas Egbert Thümmel Erez Shochat Erin Carmody François Dorais Frank Stephan Franklin Tall Garrett Ervin 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 Neeman James Cummings Jan Grebík Jan van Mill 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 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 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 Radek Honzik Ralf Schindler Randall Holmes Rick Statman Robert Ralowski Robin TuckerDrob Rodrigo R. Dias Roman Kossak Saharon Shelah Sakaé Fuchino Salma Kuhlmann Samuel Coskey Sandra Müller Šárka Stejskalová 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 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 William Chan Wojciech Stadnicki Wolfgang Wohofsky Yair Hayut Yizheng Zhu Yurii Khomskii Zoltán VidnyánszkyCategories
Recent discussions
 First Girona inner model theory conference, Girona, July 1627 2018  Set Theory Talks on Münster conference on fine structure and inner model theory, July 2024, 2015
 11th Young Set Theory Workshop, Lausanne, June 25–29, 2018  Set Theory Talks on 6th Young Set Theory Workshop, June 1014, 2013
 GrothenDitQue: on Andrea Vaccaro: Embedding C*algebras into the Calkin algebra
 saf on Takeuti Memorial Symposium, Kobe, September 18 – 20, 2018
 saf on Set Theory, Model Theory and Applications (In memory of Mati Rubin), Eilat, April 2226, 2018
 First Girona inner model theory conference, Girona, July 1627 2018  Set Theory Talks on Münster conference on fine structure and inner model theory, July 2024, 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
Joshua Brot, Mengyang Cao, David J. FernándezBretón: Finiteness classes arising from Ramseytheoretic statements in set theory without choice
Thursday, June 14, 2018, from 4 to 5:30pm
East Hall, room 4096
Speaker: Joshua Brot, Mengyang Cao, David J. FernándezBretón (University of Michigan)
Title: Finiteness classes arising from Ramseytheoretic statements in set theory without choice
Abstract:
We investigate infinite sets that witness the failure of certain Ramseytheoretic statements, such as Ramsey’s or (appropriately phrased) Hindman’s theorem; such sets may exist if one does not assume the Axiom of Choice. continue reading…
David FernándezBretón: Variations and analogs of Hindman’s theorem
Mathematical logic seminar – May 22 2018
Time: 3:30pm – 4:30 pm
Room: Wean Hall 8220
Speaker: David FernándezBretón
Department of Mathematics
University of Michigan
Title: Variations and analogs of Hindman’s theorem
Abstract:
Hindman’s theorem is a Ramseytheoretic result asserting that, whenever one colours the set of natural numbers with finitely many colours, there will be an infinite set such that all numbers that can be obtained by adding finitely many elements from the set (no repetitions allowed) have the same colour. continue reading…
David Fernandez Breton: Partition theorems on uncountable abelian groups
Place: Fields Institute (Room 210)
Date: April 27, 2018 (13:3015:00)
Speaker: David Fernandez Breton
Title: Partition theorems on uncountable abelian groups
Abstract:
In the past two years, a number of Ramseytheoretic results concerning the additive structure of uncountable abelian groups have been investigated by diverse subsets of the set {Komjáth, Rinot, D. continue reading…
David J. Fernández Bretón: Models of set theory with union ultrafilters and small covering of meagre, II
Thursday, March 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, II
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…
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…