Algebraicity and p-adic Interpolation of Critical Hecke L-values

Explore the algebraicity and p-adic interpolation of critical Hecke L-values in this advanced mathematics lecture delivered by Johannes Sprang at BIMSA's ICBS2025 conference. Delve into the intricate connections between algebraic number theory and p-adic analysis as the speaker examines the special values of Hecke L-functions at critical points and their behavior under p-adic interpolation. Gain insights into the theoretical foundations underlying these mathematical objects and their significance in modern number theory research. Learn about the techniques used to establish algebraicity results for these critical values and understand how p-adic methods provide powerful tools for studying their interpolation properties.