| 氏名： | Azizul Hoque 氏 (Gauhati University) |
|---|---|
| 題目： | Iizuka’s conjecture and beyond: new results and geometric perspectives |
| 日時： | 2026年11月25日 (水) 15:30 ～16:30 |
| 場所： | 東京理科大学野田キャンパス４号館３階 数理科学科セミナー室 |
| 概要： | Iizuka’s conjecture asserts that, for any prime number p and any positive integer m, there exists an infinite family of m+1 successive real (or imaginary) quadratic fields Q(\sqrt{d}), Q(\sqrt{d+1}), … ,Q(\sqrt{d+m}) with d∈Z, whose class numbers are all divisible by p. In this talk, we will discuss some results surrounding Iizuka’s conjecture, including its generalization and the construction of infinite families of imaginary quadratic fields with prescribed class group properties. We will then explore how this arithmetic question leads naturally to geometric set up through the study of Chow groups and Picard groups of algebraic surfaces. This talk is based on some joint work with K. Banerjee and K. Chakraborty. |
| 共催： | 東京理科大学総合研究院 代数学連携研究部門との共催 研究集会「2026 International workshop on Algebra at TUS-Noda」中の一講演 |
Department of Mathematics
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