崔沛仪 , 刁晗生 , 杜衡 , 胡悦科 , ‌李华杰 , 徐文强 , 徐斌 , 朱艺航

Mahesh Kakde

2026年10月12日 10:00 至 11:00

Shuangqing-C654

Many questions in number theory concern the nonvanishing of determinants of square matrices of logarithms (complex or p-adic) of algebraic numbers. (Weak) Schanuel’s conjecture is an uber conjecture about logarithms of algebraic numbers. Jointly with Samit Dasgupta, I formulated the matrix coefficient conjecture, that implies some conjectures of interest in algebraic number theory, and is weaker than Schanuel’s conjecture. In this talk I will recall known results in transcendental number theory, state a formulation of the matrix coefficient conjecture, its implications in Iwasawa theory, and relation with other conjectures. If time permits I will also talk about a proposed strategy.