Thu, 20 Nov 2025
16:00
16:00
Lecture Room 4
Euler systems: what they are and where to find them
Sarah Zerbes
(ETH Zurich)
Further Information
NOTE: Earlier in the day, there will be an additional related talk in the Arithmetic Geometry Seminar given by David Loeffler (https://www.maths.ox.ac.uk/node/73993).
Abstract
I will briefly introduce the Bloch-Kato conjecture, a very general conjecture relating special values of L-functions to arithmetic, and explain how it generalises many more familiar theorems and conjectures such as the BSD conjecture for elliptic curves. I will then introduce the concept of an "Euler system", which is a powerful tool in proving cases of these conjectures, and survey some recent constructions of Euler systems using the geometry of Shimura varieties.