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Papers and preprints

Blob algebra approach to modular representation theory

Joint work with David Plaza. Proceedings of the London Mathematical Society 121 (2020) Issue3, 656-701. We conjecture (and prove the "graded degree part") an equivalence between the type A affine Hecke category in positive characteristic and a certain blob category that we introduce as a quotient of KLR algebras. This conjecture has been proved recently in an amazing paper by Chris Bowman, Anton Cox, Amit Hazi!! It opens lots of questions...

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July 24, 2018
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p-Jones Wenzl idempotent

Joint work with Gastón Burrull and Paolo Sentinelli. Advances in Mathematics  352 (2019) 246-264. In this paper we introduce the p-Jones Wenzl idempotent, a characteristic p analogue of the classical Jones-Wenzl idempotent. We hope this to be a building block for the p-canonical basis as sl_2 is a building block for the representation theory of semi-simple Lie algebras.

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February 16, 2019
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Revista Héurèka

Artículo en la primera edición de la revista héurèka, dedicada a la divulgación  de la ciencia.

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November 27, 2017
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Featured papers and preprints / For Mathematicians / Papers and preprints

Gentle introduction to Soergel bimodules I: The basics

 Sao Paulo Journal of Mathematical Sciences, 13(2) (2019), 499-538. This paper is the first of a series of introductory papers on the fascinating world of Soergel bimodules. It is combinatorial in nature and should be accessible to a broad audience. We introduce the Forking path conjecture.

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September 1, 2017
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For Everybody / Poemas / Poemas escogidos

Nathalie – Enrique Lihn

Estuvimos a punto de ejecutar un trabajo perfecto, Nathalie en una casa de piedra de Provenza. Dirás ahora que todo estuvo mal desde el principio pero lo cierto es que…

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November 26, 2017
For Everybody / Poemas / Poemas de mi autoría

El Anhelo

La mujer en el vagón duerme. El hombre la contempla. Aire y sangre fluyen a inspirado y expirado ritmo. El mundo se hace cadencia de trenes -las olas vagan como sueños…

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November 26, 2017
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Últimas palabras

Ésta es la hora última del día último Sombras sobre la faz o lo que fuere de la tierra -se alza formidable la figura del tiempo- Mis últimas palabras para ti,…

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September 20, 2017