On Exponential Motives and Their Fundamental Groups

Explore a comprehensive lecture on exponential motives and their fundamental groups presented by Peter Jossen from ETH Zürich at the Fields Number Theory Seminar. Delve into the construction of various cohomology theories for pairs consisting of an algebraic variety and a regular function. Discover the process of creating a universal cohomology theory for these pairs, which takes values in the tannakian category of Exponential Motives. Examine concrete examples demonstrating the computation of tannakian fundamental groups of exponential motives, and understand their significance in transcendence questions. This 71-minute talk offers valuable insights for researchers and enthusiasts in number theory and algebraic geometry.