Langlands correspondence and geometry
Ken Ribet (UC Berkeley)
Abstract: The Langlands program suggests innumerable problems in arithmetic geometry. One class of problems concerns geometric and cohomological relations between algebraic varieties in case such relations are predicted by a Langlands correspondence between spaces of automorphic forms for different algebraic groups. I will describe how my quest for such a relation led me to realize that there can be a link between the behavior of one Shimura variety in one characteristic and the behavior of a second Shimura variety in a second characteristic.
number theory
Audience: researchers in the discipline
CHAT (Career, History And Thoughts) series
Series comments: The CHAT series invite established professors to talk about either (1) their math career in general (2) their theorems or theories, but explained from a personal and historical perspective, like how they came up with the problem, what the Aha! moment was like, how the problem changes from its initial form to the published rigorous form.
The idea is that instead of talking about their latest theorems, the speakers would take a step back and talk about the trajectory of an idea, the path to the discovery of a theorem, the influence of ideas learned through a paper or a chance conversation with a colleague, and the hazards met and overcome along the way.
| Organizers: | Chi-Yun Hsu*, Shekhar Khare, Henri Darmon |
| *contact for this listing |