Regulators V (Contemporary Mathematics)

  • 予約

Regulators V (Contemporary Mathematics)

  • ただいまウェブストアではご注文を受け付けておりません。 ⇒古書を探す
  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 280 p.
  • 言語 ENG
  • 商品コード 9781470479176

Full Description

This volume is an outgrowth of the Regulators V Conference that was held on June 3-13, 2024, at the University of Pisa, Italy. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the latest advancements in the field of regulator maps and their applications. Key topics covered are: $A^1$-homotopy theory, classical and syntomic regulators, Hodge theory and algebraic cycles, motives, normal functions and Picard-Fuchs equations, and singular support in mixed characteristic.

Contents

Articles; Devin Akman, The A-factor locus of a normal function; Amnon Besser, Regulators and derivatives of Vologodsky functions with respect to $\log (p)$; Federico Binda and Alberto Vezzani, A motivic approach to rational $p$-adic cohomologies; Chongyao Chen and Kirsten Wickelgren, Quadratically enriched binomial coefficients over a finite field; Alain Connes and Caterina Consani, Knots, primes and class field theory; Herbert Gangl, The Grassmannian complex and Goncharov's motivic complex in weight 4; Herbert Gangl and Maxim Kontsevich, A finite regulator map for the Bloch group; Alexander B. Goncharov, Calculating Archimedean height pairing via generalized cross-ratio; Phillip Griffiths, Atypical Hodge loci; Matt Kerr, Motivic irrationality proofs; Takeshi Saito, On singular supports in mixed characteristic; Pierre Vanhove, Picard-Fuchs equations of twisted differential forms associated to Feynman integrals