## Nathalie – Enrique Lihn

Estuvimos a punto de ejecutar un trabajo perfecto, Nathalie en una casa de piedra de Provenza. Dirás ahora que todo…

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# Category

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Nathalie – Enrique Lihn

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El Anhelo

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“Alucinantes imágenes en movimiento” – To the wonder

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The Anti-Spherical Category

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Perdi mi Juventud

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Últimas palabras

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El realismo iluminado de Béla Tarr

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La hipótesis del film olvidado

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La espalda del mundo, niños de polvo

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Vals con Bachir, Psicoanálisis de una masacre

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My Education Manifesto

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Our article with Jorge Soto-Andrade

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Research interests

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Gentle introduction to Soergel bimodules I: The basics

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Invited talk in University of Sydney algebra seminar, 11th August 2017

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Plenary talk in “Representation Theory Day in Québec City”, 29th July 2017.

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Invited talk in “Math Congress of the Americas” in the session “Representations of Lie algebras”, 28th July 2017.

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Coorganizer (with Aaron Lauda and Joshua Sussan) of the session “Symmetry in algebra, topology, and physics” in the Math Congress of the Americas

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Invited stay in Sydney University, invited by Geordie Williamson, 5th July-25th August

Estuvimos a punto de ejecutar un trabajo perfecto, Nathalie en una casa de piedra de Provenza. Dirás ahora que todo…

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November 26, 2017

La mujer en el vagón duerme. El hombre la contempla. Aire y sangre fluyen a inspirado y expirado ritmo. El…

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November 26, 2017

The following texts appeared in "Euromundo global" a spanish online journal. To the wonder 1. He visto una película de…

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November 26, 2017

joint with Geordie Williamson, submitted to **Advances in Mathematics. ** We prove that (sign) parabolic Kazhdan-Lusztig polynomials have non-negative coefficients for ANY Coxeter system and ANY choice of a parabolic subgroup, thus generalizing to the parabolic setting the central result of *The Hodge theory of Soergel bimodules* by Elias and Williamson. We also prove a monotonicity conjecture of Brenti. The new techniques were used by Williamson and Lusztig to calculate many new elements of the p-canonical basis and thus make the Billiards conjecture. Along the way, we introduce the **anti-spherical light leaves**.

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November 11, 2017

Perdí mi juventud en los burdeles pero no te he perdido ni un instante, mi bestia, máquina del placer, mi…

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September 20, 2017

Ésta es la hora última del día último Sombras sobre la faz o lo que fuere de la tierra -se alza…

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September 20, 2017

The following texts appeared in "Euromundo global" a spanish online journal. El realismo iluminado de Béla Tarr Si yo fuera…

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September 20, 2017

The following texts appeared in "Euromundo global" a spanish online journal. La hipótesis del film olvidado Me invade una profunda sonrisa…

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September 20, 2017

The following texts appeared in "Euromundo global" a spanish online journal. La espalda del mundo, Niños de polvo Los niños…

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September 20, 2017

The following texts appeared in "Euromundo global" a spanish online journal. Vals con Bachir , Psicoanálisis de una masacre. La…

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September 20, 2017

I have been thinking about math education for more than fifteen years. An initiation rite for me was the following story. I was training three students for the math olympics in some school. They worked with me for one year without previous trainment. Then they went to the National Mathematical Olympiad in Chile and they obtained the three gold medals that were given that year. In that moment I was very moved and I realized that the method that I implemented (a method that has been evolving ever since) was interesting.

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September 20, 2017

Here is the first (and only until now) research article I did about these ideas, with Jorge Soto-Andrade On the…

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November 26, 2017

Most of my work revolves around some beautiful and central objects in representation theory called Soergel bimodules. I have produced a basis of morphisms between such objects that are called Light Leaves. I am fascinated by them. On the one hand, it is because of them that one can actually compute in Soergel bimodule-land, and on the other, they have some very rich combinatorial structure that is slowly unearthing. My favorite subjects are diagrammatical category theory, categorical braid group actions, modular representations of finite or algebraic groups, Kazhdan-Lusztig theory, categorifications and knot theory. Very nice.

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September 20, 2017

** 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

Invited talk in University of Sydney algebra seminar, 11th August 2017 University of Sydney Algebra Seminar Recent and forthcoming seminars…

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August 11, 2017

Plenary talk in "Representation Theory Day in Québec City", 29th July 2017. Schedule (Vachon building, Room 3840) All talks will…

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July 29, 2017

Invited talk in "Math Congress of the Americas" in the session "Representations of Lie algebras", 28th July 2017.

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July 28, 2017

Coorganizer (with Aaron Lauda and Joshua Sussan) of the session "Symmetry in algebra, topology, and physics" in the Math Congress of the…

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July 20, 2017

Invited stay in Sydney University, invited by Geordie Williamson, 5th July-25th August.

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July 5, 2017