Recent seminar announcements- Aleksandra Kwiatkowska: Universal minimal flows of the homeomorphism groups of Ważewski dendrites Prague Set Theory Seminar
- Jan Grebík: Borel chromatic numbers Prague Set Theory Seminar
- Yinhe Peng: Basis of Countryman lines Toronto Set Theory Seminar
- Assaf Shani: Borel equivalence relations and symmetric models Israeli Logic Talks
- Jindřich Zapletal: Geometric forcing Prague Set Theory Seminar
- Hossein Lamei Ramandi: A minimal Kurepa tree with respect to club embeddings Toronto Set Theory Seminar
- Wednesday seminar Prague Set Theory Seminar
- Ilya Shapirovsky: Locally finite varieties of modal algebras Toronto Set Theory Seminar
- Mirna Džamonja: Higher order versions of the logic of chains close Prague Set Theory Seminar
- Joshua Brot, Mengyang Cao, David J. Fernández-Bretón: Finiteness classes arising from Ramsey-theoretic statements in set theory without choice Michigan Logic Seminar
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Recent discussions
GrothenDitQue: on Andrea Vaccaro: Embedding C*-algebras into the Calkin algebra
saf on Takeuti Memorial Symposium, Kobe, September 18 – 20, 2018
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
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 Stone-Čech 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. Fernández-Bretón: Finiteness classes arising from Ramsey-theoretic 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. Fernández-Bretón (University of Michigan)
Title: Finiteness classes arising from Ramsey-theoretic statements in set theory without choice
Abstract:
We investigate infinite sets that witness the failure of certain Ramsey-theoretic 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 Fernández-Bretón: 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 Fernández-Bretón
Department of Mathematics
University of Michigan
Title: Variations and analogs of Hindman’s theorem
Abstract:
Hindman’s theorem is a Ramsey-theoretic 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 (13:30-15:00)
Speaker: David Fernandez Breton
Title: Partition theorems on uncountable abelian groups
Abstract:
In the past two years, a number of Ramsey-theoretic 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…
BLAST 2018, Denver, August 6-10, 2018
BLAST 2018
University of Denver, Colorado, USA
August 6-10, 2018
The tenth-anniversary installment of BLAST will be held at the University of Denver from August 6 to August 10, 2018.
Tutorial speakers:
Paul Gartside (University of Pittsburgh)
George Metcalfe (Universität Bern)
Drew Moshier (Chapman University)
Plenary speakers:
Dana Bartosova (Carnegie Mellon University)
Manuela Busaniche (National Scientific and Technical Research Council, Buenos Aires)
Mirna Dzamonja (University of East Anglia, UK)
David Fernandez-Breton (University of Michigan)
Wesley Holliday (UC Berkeley)
Agnes Szendrei (CU Boulder)
Local organizing committee:
Natasha Dobrinen
Wesley Fussner
Nick Galatos
Dan Hathaway
Gavin St. continue reading…
Posted in BLAST, Conferences
Tagged Dana Bartošová, David J. Fernández Bretón, Mirna Džamonja, Paul Gartside
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 Ramsey-theoretic 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 Ramsey-theoretic 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 Ramsey-theoretic 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 Ramsey-theoretic 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…