Seminars

 Seminar Announcement Venue: CMI Seminar Hall (We plan to have it in hybrid mode) Date: March 24, 2022, Thursday Time: 3:30 pm to 4:30 pm Trianguline property of Galois representations at the boundary of the eigencurve Aditya Karnataki BICMR, Peking University. 24-03-22 Abstract p-adic Langlands program aims to study and classify p-adic representations of the Galois group. The category of $(\varphi, \Gamma)$-modules constructed by Fontaine and others provides a highly useful tool to study such representations. When these representations arise from modular forms (more generally, their families parametrized by the eigencurve), the associated $(\varphi, \Gamma)$-modules satisfy a powerful and key property of being `trianguline'. Recent work by Andreatta-Iovita-Pilloni has made it possible to study new and mysterious families of modular forms at the boundary of the eigencurve. In this talk, we explain a proof of the conjecture that these forms at the boundary are Trianguline, too. This is joint work with Ruochuan Liu.