Семинары: Ueki Jun, Yoshizaki Hyuga, The p-adic class numbers of number fields, elliptic curves, knots, and graphs

СЕМИНАРЫ


Moscow-Beijing Topology seminar 24 сентября 2025 г. 10:30, Online, Zoom

The p-adic class numbers of number fields, elliptic curves, knots, and graphs Ueki Jun, Yoshizaki Hyuga
Аннотация: part 1 – graphs – (30 min) 　by Jun Ueki (Ochanomizu University) part 2 — number fields, elliptic curves, and knots – (60 min) 　by Hyuga Yoshizaki (Tokyo Science University) Abstract. Let $p$ be a prime number. As initially pointed out by Sinnott–Han–Kisilevsky and afterward re-discovered by us, in a pro-$p$ extension of number fields or its various analogues, the class number p-adically converges. In a topological setting, the $p$-adic limit value (say, the $p$-adic class number) may be interpreted as Kionke's $p$-adic torsion. We will give numerical observations on this phenomenon and point out further interests, especially in a view of Lang–Trotter conjecture. (This talk is partially based on joint works with Reo Kobayashi and Sohei Tateno.) Язык доклада: английский Website: https://us02web.zoom.us/j/81866745751?pwd=bEFqUUlZM1hVV0tvN0xWdXRsV2pnQT09