Miguel Moreno

Postdoctoral researcher, Kurt Gödel Research Center for Mathematical Logic, University of Vienna.

Invited Talks

• January 2015. On the reducibility of isomorphism relation. Arctic Set Theory Workshop II. Kilpisjärvi (Finland). [Conf]
• January 2016. Borel reducibility and the isomorphism relation. Finnish Mathematical Days 2016. Invited special session. Turku (Finland). [Slides] [Conf]
• March 2016. Shelah's Main Gap Theorem in the Borel-reducibility hierarchy. 27th Nordic Congress of Mathematicians. Invited special session. Stockholm (Sweden). [Slides] [Conf]
• September 2016. Strong DOP and the Borel hierarchy. Workshop on Set-theoretical aspects of the model theory of strong logics. Bellaterra (Barcelona). [Slides] [Conf]
• January 2017. The equivalence modulo non-stationary ideals. Arctic Set Theory Workshop III. Kilpisjärvi (Finland). [Slides] [Conf]
• September 2017. Conjuntos de indiscernibles en teorias estables. Seminario de categorias accessibles y teoria de modelos, Universidad Nacional de Colombia sede Bogotá. Bogotá (Colombia).
• September 2017. La relación de equivalencia modulo conjuntos no estacionarios en los espacios de Baire generalizados. Bogotá Logic Seminar. Bogotá (Colombia). [Notes (section 3)] [Seminar]
• October 2018. A model theory dichotomy in generalized descriptive set theory. UH-CAS Workshop on mathematical logic. Helsinki (Finland) [Slides] [Conf]
• January 2019. Diamond sharp and a model theory dichotomy in GDST. Arctic Set Theory Workshop IV. Kilpisjärvi (Finland). [Slides] [Conf]
• February 2020. Connections between generalised Baire spaces and model theory. Fifth Workshop on Generalised Baire Spaces. Invited main speaker. Bristol (England). [Slides] [Conf]
• May 2020. Consistency of Filter Reflection. Seminario Flotante de Bogotá de Lógica Matemática. Bogotá Logic Group, Colombia (Online). [Slides] [Video] [Seminar]
• May 2020. Filter Reflection. Bar-Ilan University and Hebrew University Logic Seminar. Online. [Slides] [Video] [Seminar]
• August 2020. Fake Reflection. Young Set Theory Workshop 2020. Invited postdoctoral speaker. Novi Sad (Serbia). (workshop postponed) [Conf]

Contributed Talks

• September 2016. The equivalence Modulo Non-stationary Ideals and Shelah's Main Gap Theorem in the Borel-reducibility hierarchy. Bonn Set Theory Workshop 2016, Generalized Baire spaces. Bonn (Germany). [Slides] [Conf]
• July 2017. Reflection principles and the generalized Baire spaces. 6th European Set Theory conference. Budapest (Hungary). [Slides] [Conf]
• July 2019. Diamond sharp and the Generalized Baire Spaces. 7th European Set Theory Conference. Vienna (Austria). [Slides] [Conf]

Talks in Research Seminars

• 21.04.2010. Matroides representables en GF(2). Seminario de Estudiantes, Universidad Nacional de Colombia sede Bogotá.
• 22.01.2014. Stationary tower forcing. Logic Seminar, Helsinki Logic Group.
• 02.03.2014. More on Stationary tower forcing. Logic Seminar, Helsinki Logic Group.
• 21.01.2015. On the reducibility of the isomorphism relation I. Logic Seminar, Helsinki Logic Group.
• 28.01.2015. On the reducibility of the isomorphism relation II. Logic Seminar, Helsinki Logic Group.
• 04.11.2015. The isomorphism relation of classifable theories. Logic Seminar, Helsinki Logic Group.
• 02.12.2015. A Borel-reducibility counterpart of Shelah's main gap theorem. Logic Seminar, Helsinki Logic Group.
• 14.09.2016. The isomorphism relation of Theories with S-DOP. Logic Seminar, Helsinki Logic Group.
• 29.03.2017. Reflection principles and Borel reducibility. Logic Seminar, Helsinki Logic Group.
• 18.10.2017. \Sigma_1^1-complete quasi-orders on weakly compact cardinals. Logic Seminar, Helsinki Logic Group.
• 21.03.2018. \Sigma_1^1-complete quasi-orders in L. Logic Seminar, Helsinki Logic Group.
• 10.12.2018. An introduction to generalized descriptive set theory. Set Theory Colloquium, Bar-Ilan University.
• 31.12.2019. An introduction to generalized descriptive set theory, part 2. Set Theory Colloquium, Bar-Ilan University.
• 07.01.2019. An introduction to generalized descriptive set theory, part 3. Set Theory Colloquium, Bar-Ilan University.
• 14.01.2019. An introduction to generalized descriptive set theory, part 4. Set Theory Colloquium, Bar-Ilan University.
• 11.03.2019. The Main Gap in the generalized Borel-reducibility hierarchy. Set Theory Colloquium, Bar-Ilan University.
• 23.01.2020. Fake Reflection. KGRC Research Seminar, Kurt Gödel Research Center, University of Vienna.

Public Examination

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

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