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 brilliantly solving several longstanding 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.
Una delle quattro medaglie Fields assegnate nel 2022 è stata vinta dal matematico June Huh, per i suoi 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.
I lavori di June Huh
Luca Migliorini;Roberto Pagaria
2023
Abstract
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 brilliantly solving several longstanding 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
