Arithmetic Statistics for Algebraic Objects

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Abstract

The workshop focused on various directions of arithmetic statistics in algebra and number theory. These include statistical problems for random polynomials and varieties, probabilistic Galois theory, and counting and distribution problems for algebraic functions, algebraic number fields, elliptic curves, -functions, as well as arithmetic problems in non-abelian settings (eg, arithmetic statistics for algebraic groups).

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Lior Bary-Soroker, Alina Ostafe, Peter Sarnak, Arithmetic Statistics for Algebraic Objects. Oberwolfach Rep. 22 (2025), no. 4, pp. 2765–2842

DOI 10.4171/OWR/2025/52