November3(Wednesday) 2021, 16:00 - 18:00,via Zoom ▶Speaker : Jun-Ho Hwang(Seoul National University) ▶Title : Decidability of integral points on some moduli spaces ▶Abstract : We discuss the Diophantine study of integral points on certain moduli spaces that arise in geometry. First, we study the integral points on moduli spaces...
October13 (Wednesday) 2021, 16:00 - 18:00,via Zoom ▶Speaker : Myungjun Yu (KIAS, CMC) ▶Title : Bounds for 2-Selmer ranks in terms of a modified ideal class group ▶Abstract : Let E be an elliptic curve over the rational number field Q. Selmer Groups and Ideal Class Groups are important and widely-studied objects in number...
October 6 (Wednesday) 2021, 16:00 - 17:00, via Zoom ▶Speaker : Gilyoung Cheong (UC Irvine) ▶Title : Counting square-free numbers in arithmetic geometry ▶Abstract : We delve into an innocuous question about counting "square-free numbers" in various forms, following the philosophy of Weil's three columns. Example 1. We count...
October 5 (Tuesday) 2021, 17:00 - 18:00, via Zoom ▶Speaker : Jaeho Haan(Yonsei University) ▶Title : Automorphic periods of symplectic groups and non-vanishing of twisted central L-values ▶Abstract : The global Gan-Gross-Prasad (GGP) conjecture predicts that the non-vanishing of automorphic periods is equivalent to that of central L-values....
