Geodesic
I lavori di June Huh
Matematica, cultura e società, Série 1, Tome 8 (2023) no. 2, pp. 141-155.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Una delle quattro medaglie Fields assegnate nel 2022 è stata vinta dal matematico June Huh, per isuoi contributi altamente innovativi alla combinatoria. I lavori di June Huh, oltre a risolvere brillantemente varie congetture aperte da molto tempo, creano un nuovo ponte tra la combinatoria e settori della matematica in apparenza molto distanti quali la topologia e la geometria algebrica. In questo articolo ci proponiamo di dare una introduzione il più possibile elementare alla combinatoria e di spiegare alcuni tra i principali risultati di Huh dando anche un'idea dell'originalità dei suoi metodi.
One of the four Fields medals assigned in 2022 has been awarded to the mathematician June Huh for his highly innovative contributions to combinatorics. Huh's papers, beside briliantly solving several long standing conjectures, build a new bridge between combinatorics and seemingly unrelated fields of mathematics such as topology and algebraic geometry. The purpose of this paper is to give an introduction, as elementary as possible, to combinatorics and explain some of Huh's main results, as well as giving an idea of the innovativeness of his methods. 
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Migliorini, Luca; Pagaria, Roberto. I lavori di June Huh. Matematica, cultura e società, Série 1, Tome 8 (2023) no. 2, pp. 141-155. http://geodesic.mathdoc.fr/item/RUMI_2023_1_8_2_a3/

[ADH23] Federico Ardila, Graham Denham, and June Huh, Lagrangian geometry of matroids, J. Amer. Math. Soc. 36 (2023), no. 3, 727-794. | DOI | MR | Zbl

[AHK18] Karim Adiprasito, June Huh, and Eric Katz, Hodge theory for combinatorial geometries, Ann. of Math.(2) 188 (2018), no. 2, 381-452. | DOI | MR | Zbl

[AZ18] Martin Aigner and Günter M. Ziegler, Proofs from The Book, sixth ed., Springer, Berlin, 2018. | DOI | MR | Zbl

[BH20] Petter Brändén and June Huh, Lorentzian polynomials, Ann. Of Math. (2) 192 (2020), no. 3, 821-891. | DOI | MR | Zbl

[BHM+20] Tom Braden, June Huh, Jacob P. Matherne, Nicholas Proudfoot, and Botong Wang, A semi-small decomposition of the chow ring of a matroid, 2020. | DOI | MR | Zbl

[BHM+23] Tom Braden, June Huh, Jacob P. Matherne, Nicholas Proudfoot, and Botong Wang, Singular Hodge theory for combinatorial geometries, 2023. | Zbl

[Brä15] Petter Brändén, Unimodality, log-concavity, real-rootedness and beyond, Handbook of enumerative combinatorics, Discrete Math. Appl. (Boca Raton), CRC Press, Boca Raton, FL, 2015, pp. 437-483. | MR | Zbl

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