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ICM-2022, Helsinki Vol. 1 Prize Lectures by Dmitry Beliaev; Stanislav Smirnov (eds.) is a nonfiction available to read on EtoBox.
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Front cover Front matter Foreword Contents Past ICMs Award winners Opening greetings Closing remarks Staus report Photographs The work of the prize winners Hugo Duminil-Copin 1. Introduction 1.1. Bernoulli percolation 1.2. The Ising model 1.3. A general picture 2. (Dis)continuity of phase transitions 3. Triviality of \Phi^4_4 4. Rotational invariance for the critical FK models References June Juh 1. Graphs, chromatic polynomials, and Read's conjecture 1.1. The four-color conjecture and chromatic polynomials 1.2. Read's conjecture 2. Matroids and the Heron–Rota–Welsh conjecture 2.1. Matroids 2.2. From graphs to matroids 2.3. Rank functions, characteristic polynomials, and the Heron–Rota–Welsh conjecture 3. The Dowling–Wilson conjecture 3.1. Background: Theorems by de Bruijn–Erdős, Motzkin, Greene, and Ryser's linear algebraic proof 3.2. The proof of the Dowling–Wilson conjecture 4. The connection with Hodge theory and algebraic geometry 4.1. Three fundamental ideas and other ingredients from the proof of the Heron–Rota–Welsh conjecture 4.2. Poincaré duality, the hard Lefschetz theorem, and the Hodge–Riemann relations 5. The strong Mason conjecture (on independence numbers), and rela
Who reads ICM-2022, Helsinki Vol. 1 Prize Lectures?
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Common subject areas: history, science, philosophy, social sciences.
- Author
- Dmitry Beliaev; Stanislav Smirnov (eds.)
- Publisher
- European Mathematical Society - EMS - Publishing House. EMS Press
- Published
- 2022
- Language
- EN
- ISBN
- 9783985470594
- Category
- nonfiction
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