The aims of these talks were to present results from the research projects in which I was involved. Generally, these talks were given at a conference or a seminar in dynamical systems.
Intersections seminar at SUSTech (an informal seminar aimed for young researchers in dynamical systems). 09 November 2023. Title: "Multiple recurrence with weights."
Intersections seminar at SUSTech. 16 March 2023. Title: "The return times theorem."
Intersections seminar at SUSTech. 27 October 2022. Title: "Wiener-Wintner ergodic theorem."
Colloquium at City College of New York. 12 November 2020 (via Zoom). Title: "Multiple recurrence along return times"
Workshop on Dynamical Systems and Applications: Universidad de Bío Bío, Concepción. 6 December 2019. Title: Generic Birkhoff Spectra"
SUMA 2019 (The joint mathematical meeting of The Argentinian Mathematical Union and The Chilean Mathematical Society). 27 September 2019. Mendoza, Argentina. Title: "Espectro de Birkhoff Génerico" ("Generic Birkhoff Spectra"). Talk given in Spanish.
Summer School in Thermodynamic Formalism, CIRM, Marseille-Luminy. 1 July 2019. Title: "Properties of Birkhoff spectra for the generic continuous functions on a shift space "
8th Visegrád Conference in Dynamical Systems, Renyí Institute, Budapest, 27 June 2019. Title: "Properties of Birkhoff spectra for the generic continuous functions on a shift space "
Santiago Dynamical Systems Seminar, PUC-Chile, 27 May 2019. Title: "Properties of Birkhoff spectra for the generic continuous functions on a shift space "
Ergodic Theory Workshop, UNC Chapel Hill, 27 January 2019. Title: "Multiple recurrence along a double return times sequence."
Conference on Dynamical Systems in Number Theory and Geometry, Queen's University/The Fields Institute, 23 August 2017. Title: "Equivalences of certain weighted ergodic averages"
Seminario Dinámica Porteña, PUC-Valparaiso, 25 November 2016. Title: "Double recurrence Wiener-Wintner theorem and some of its consequences"
Santiago Dynamical Systems Seminar, PUC-Chile, 14 November 2016. Title: "Double recurrence Wiener-Wintner theorem and some of its consequences"
Local Dynamical Systems Seminar, PUC-Chile. Four talks in September--October 2016. Title: "A Summary Of Wiener-Wintner, Multiple Recurrence, And Return Times Averages, And Their Recent Developments"
Workshop on Dynamical Systems and Related Topics, University of Maryland, 16 April 2016. Title: "Double recurrence Wiener-Wintner theorem and weighted nonconventional ergodic averages"
ICTP-NLAGA School in Dynamical Systems and Ergodic Theory, AIMS-Senegal, 11 June 2014. Title: "Uniform Wiener-Wintner theorem for double recurrence averages"
Ergodic Theory Workshop, UNC Chapel Hill, 6 April 2014. Title: "Uniform Wiener-Wintner theorem for double recurrence averages"
Rather than presenting the results from the research projects for which I was involved, these talks were given to explain certain ideas in mathematics, particularly in ergodic theory and dynamical systems. Sometimes these talks were given to an audience who do not work in dynamical systems (e.g. undergraduates, graduates, etc.)
Working seminar in dynamical systems, SUSTech, September-October 2021. Title: "Partial hyperbolicity and ergodicity in dimension 3." Presented a work by F. Rodriguez Hertz, J. Rodriguez Hertz, and R. Ures.
Club de Matemáticas, PUC-Chile, 03 May 2019. Title: "Progresiones aritméticas en subconjuntos de los enteros" ("Arthmetic progressions in subsets of integers"). This talk was given in Spanish to the undergraduate students at PUC-Chile, where I discussed the history and development of results regarding arithmetic progressions. In particular, Szemerédi's theorem and its proof by Furstenberg were highlighted)
Santiago Dynamical Systems Seminar (The Kawin Talk), PUC-Chile, 15 April 2019. Title: "Nonconventional Coboundaries" (In this talk, I presented Idris Assani's work on nonconventional coboundaries.)
Graduate Mathematics Associations Seminar, UNC Chapel Hill, 29 September 2014. Title: "Extensions of classical ergodic theorems and Wiener-Wintner averages" (These talks were given to the graduate students at the UNC)
NOTE: The ones I gave a talk are excluded from this list; see above for such.
06-10 January 2020. Complex Dynamics in the Southern Hemisphere. PUC. Santiago, Chile.
19 – 21 December 2018. LXXXVII Encuentro Anual de la Sociedad Matemática de Chile. Universidad de O’Higgins, Rancagua, Chile.
17 – 21 December 2018. Thirteenth International Conference on Computability, Complexity and Randomness (CCR 2018). Universidad Andrés Bello, Santiago de Chile.
10 – 14 December 2018. Dynamics in Valparaíso. Pontificia Universidad Católica de Valparaíso, Chile.
13 – 17 August 2018. Satellite Meeting for Dynamical Systems and Related Topics, International Congress of Mathematicians, 2018. Salvador, Bahia, Brazil.
01 – 09 August 2018. International Congress of Mathematicians, 2018. Rio de Janeiro, Brazil.
19 – 22 April 2018. Ergodic Theory Workshop, UNC Chapel Hill.
25 – 29 September 2017. LXIII Colloquium: Celebrating Rafel Labarca‘s 60th birthday. Universidad de Santiago de Chile.
30 July – 4 August 2017. Current Trends in Dynamical Systems and the Mathematical Legacy of Rufus Bowen. PIMS/UBC. Vancouver, BC, Canada.
5 June 2017. Coloquio LXII: El Legado de Jorge Billeke. Universidad de Santiago de Chile.
29 May – 1 June 2017 A Conference in Memory of Jean-Pierre Yoccoz. Collège de France (Paris).
20-23 April 2017. Ergodic Theory Workshop. UNC Chapel Hill.
January 2017. "Correlations and nilsequence"—Mini course by B. Host. CMM, U-Chile.
14-17 December 2016. SUMA 2016 (Meeting of Sociedad de Matemática de Chile and Unión Matemática Argentina). Valparaíso, Chile.
5-9 December 2016. School on Information and Randomness 2016. CMM, U-Chile.
7-10 April 2016. Ergodic Theory Workshop. UNC Chapel Hill.
6-9 January 2016. Joint Mathematics Meetings. Seattle, WA.
21-24 March 2013. Ergodic Theory Workshop. UNC Chapel Hill.