AbstractOn the heels of the proof of the Unbounded Denominators conjecture (previously presented in this seminar by Yunqing Tang), we discuss an upgraded and refined form of our main technical tool in this area, the "arithmetic holonomicity theorem," of which we will detail a proof based on Bost's slopes method. Our treatment will lead us to a new alternative argument for the unbounded denomina...
AbstractThe study of arithmetic groups has played a fundamental role in the development of number theory, geometry and representation theory. Automorphic forms have been one of the most important guiding tools to study them. The study of Eisenstein cohomology was initiated by Harder, and he discovered that Eisenstein cohomology is fundamentally related to several important topics in number theo...