Héctor del Castillo Gordillo
Héctor del Castillo Gordillo
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Ph.D. in Mathematics, Université Paris-Saclay and Pontificia Universidad Católica de Valparaíso
I am FONDECYT 2022 postdoctoral fellow at the Universidad de Santiago de Chile.
I have completed my Ph.D. under the supervision of Luis Lomelí and Guy Henniart (Chile-France Cotutelle). My main research focus is the Langlands program. My Ph. D. thesis establishes a special case of Langlands functionality conjecture for globally generic automorphic representations in positive characteristic.
Apart from my research interests, I also enjoy learning different aspects of algebraic geometry.
Finally, my interests outside of mathematics are cooking, coffee & tea, health and philosophy.
Research activities:
Representaciones y Teoría de números: PUCV-USACh (2023 June). Organized with Luis Lomelí.
Grupo de estudio (2023 March-April). Organized with Luis Lomelí and Javier Navarro.
Jornada Automorfa (2023 January). Organized with Daniel Barrera.
A short introduction to the GGP conjectures (2023 January),by Xenia Dimitrakopoulou. Organized with Daniel Barrera.
Seminario Funtorialidad de Langlands y variación p-ádica (2022 March- 2023 January), organized with Daniel Barrera and Luis Santiago Palacios.
An introduction to Proof Assistants (2022 November) by Riccardo Brasca. Organized with Daniel Barrera.
Recorded Talks:
Funtorialidad de Langlands y deformación p-ádica (2022, ten talks ,~2 hours, Castellano)
I Encuentro de Estudiantes de Doctorado Chile-Francia de la Universidad de Chile (11/2021, ~15 Minutes, Castellano, Público General)
Generic Langlands Functoriality Conjecture for SO*(2n) in positive characteristic (11/2021, ~1 hour, English)
Generic Langlands Functoriality Conjecture for SO*(2n) in positive characteristic (11/2021, ~1 hour, English)
Representaciones automorfas y Variedades de Shimura (10/2021, seven sessions,~1.5 hours, Castellano)
Representaciones automorfas y Variedades de Shimura (10/2021, seven sessions,~1.5 hours, Castellano)
Mathematical Congress of the Americas 2021. Poster presentation at the special session “Galois representations and automorphic forms”. (6/2021, ~17 minutes, English)
Seminario Latinoamericano de Teoría de Números (LATeN) (10/2020, ~1 hour, Castellano)
V-Coloquio Valparaíso (7/2020, ~20 minutes, Castellano)
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