Miguel Moreno

Postdoctoral researcher, Institute of Mathematics, University of Vienna .

Miguel Moreno

Postdoctoral researcher, Institute of Mathematics, University of Vienna .

Picture of the defense

Talks and Presentations

Invited Talks


19. Reflection of stationary sets and GDST
August 2020. Young Set Theory Workshop 2020. Novi Sad, Serbia.
Conference

18. The isomorphism relation of unsuperstable theories in the generalized Borel-reducibility
April 26th, 2022. KGRC Set Theory Research Seminar. Vienna, Austria.

17. How complex are mathematical theories? [ESP]
March 14th 2022. Internnational Day of Mathematics 2022. Bogota, Colombia.
Slides - Event

16. K-colorable linear orders and unsuperstable theories
February 23th 2022. Helsinki Logic Seminar - Minisymposium. Helsinki, Finland.
Slides - Minisymposium

15. On unsuperstable theories in the GDST
February 2022. Arctic Set Theory Workshop V. Kilpisjärvi, Finland.
Slides - Conf

14. Colouring orders and ordering trees
February 2022. Bar-Ilan Set Theory Colloquium. Ramat Gan, Israel. Online.
Slides - Seminar

13. Filter Reflection and Generalised Descriptive Set Theory
October 2020. University of Helsinki Logic Seminar. Helsinki, Finland. Online.
Slides - Seminar

12. Filter Reflection
May 2020. Bar-Ilan University and Hebrew University Logic Seminar. Ramat Gan - Jerusalem, Israel. Online.
Slides - Video - Seminar

11. Consistency of Filter Reflection
May 2020. Seminario Flotante de Bogotá de Lógica Matemática. Bogotá Logic Group, Colombia. Online.
Slides - Video - Seminar

10. Connections between generalised Baire spaces and model theory
February 2020. Fifth Workshop on Generalised Baire Spaces. Invited main speaker. Bristol, England.
Slides - Conf

9. Diamond sharp and a model theory dichotomy in GDST
January 2019. Arctic Set Theory Workshop IV. Kilpisjärvi, Finland.
Slides - Conf

8. A model theory dichotomy in generalized descriptive set theory
October 2018. UH-CAS Workshop on mathematical logic. Helsinki, Finland.
Slides - Conf

7. La relación de equivalencia modulo conjuntos no estacionarios en los espacios de Baire generalizados
September 2017. Bogotá Logic Seminar. Bogotá, Colombia.
Notes (section 3) - Seminar

6. Conjuntos de indiscernibles en teorias estables
September 2017. Seminario de categorias accessibles y teoria de modelos, Universidad Nacional de Colombia sede Bogotá. Bogotá, Colombia.

5. The equivalence modulo non-stationary ideals
January 2017. Arctic Set Theory Workshop III. Kilpisjärvi, Finland.
Slides - Conf

4. Strong DOP and the Borel hierarchy
September 2016. Workshop on Set-theoretical aspects of the model theory of strong logics. Bellaterra, Barcelona.
Slides - Conf

3. Shelah's Main Gap Theorem in the Borel-reducibility hierarchy
March 2016. 27th Nordic Congress of Mathematicians. Invited special session. Stockholm, Sweden.
Slides - Conf

2. Borel reducibility and the isomorphism relation
January 2016. Finnish Mathematical Days 2016. Invited special session. Turku, Finland.
Slides - Conf

1. On the reducibility of isomorphism relation
January 2015. Arctic Set Theory Workshop II. Kilpisjärvi, Finland.
Conf


Public Examination


FINDING THE MAIN GAP IN THE BOREL-REDUCIBILITY HIERARCHY
December 2017. Exactum, Faculty of Science, University of Helsinki.
PDF - Slides - Opponent's lecture


Posters


2. Filter Reflection and the Borel reducibility
July 2022. Advances in Set Theory 2O22. Jerusalem, Israel.
Poster - Conference

1. Filter Reflection and the Borel reducibility
July 2022. ESI Set Theory Workshop 2022. Vienna, Austria.
Poster - Workshop



Contributed Talks


4. TBA
August - September 2022. European Set Theory Conference 2022. Turin, Italy.
Slides - Conference

3. Diamond sharp and the Generalized Baire Spaces
July 2019. 7th European Set Theory Conference. Vienna, Austria.
Slides - Conf

2. Reflection principles and the generalized Baire spaces
July 2017. 6th European Set Theory conference. Budapest, Hungary.
Slides - Conf

1. The equivalence Modulo Non-stationary Ideals and Shelah's Main Gap Theorem in the Borel-reducibility hierarchy
September 2016. Bonn Set Theory Workshop 2016, Generalized Baire spaces. Bonn, Germany.
Slides - Conf



Seminar Talks


17. Fake Reflection
23.01.2020. KGRC Research Seminar, Kurt Gödel Research Center, University of Vienna.

16. The Main Gap in the generalized Borel-reducibility hierarchy
11.03.2019. Set Theory Colloquium, Bar-Ilan University.

15. An introduction to generalized descriptive set theory, part 4
14.01.2019. Set Theory Colloquium, Bar-Ilan University.

14. An introduction to generalized descriptive set theory, part 3
07.01.2019. Set Theory Colloquium, Bar-Ilan University.

13. An introduction to generalized descriptive set theory, part 2
31.12.2019. Set Theory Colloquium, Bar-Ilan University.

12. An introduction to generalized descriptive set theory, part 1
10.12.2018. Set Theory Colloquium, Bar-Ilan University.

11. Σ_1^1-complete quasi-orders in L
21.03.2018. Logic Seminar, Helsinki Logic Group.

10. Σ_1^1-complete quasi-orders on weakly compact cardinals
18.10.2017. Logic Seminar, Helsinki Logic Group.

9. Reflection principles and Borel reducibility
29.03.2017. Logic Seminar, Helsinki Logic Group.

8. The isomorphism relation of Theories with S-DOP
14.09.2016. Logic Seminar, Helsinki Logic Group.

7. A Borel-reducibility counterpart of Shelah's main gap theorem
02.12.2015. Logic Seminar, Helsinki Logic Group.

6. The isomorphism relation of classifable theories
04.11.2015. Logic Seminar, Helsinki Logic Group.

5. On the reducibility of the isomorphism relation II
28.01.2015. Logic Seminar, Helsinki Logic Group.

4. On the reducibility of the isomorphism relation I
21.01.2015. Logic Seminar, Helsinki Logic Group.

3. More on Stationary tower forcing
02.03.2014. Logic Seminar, Helsinki Logic Group.

2. Stationary tower forcing
22.01.2014. Logic Seminar, Helsinki Logic Group.

1. Matroides representables en GF(2)
21.04.2010. Seminario de Estudiantes, Universidad Nacional de Colombia sede Bogotá.