Number Theory Seminar

In the GGP setting, from archimedean consideration, one expects many Iwasawa main conjectures, indexed by weight interlacing. We will show how special Selmer classes can be used to relate them, generalizing an observation of Castella and Wan. Assuming some expected conjectures on torsions in cohomology, we will also construct one of the required classes using cycles coming from the arithmetic GGP conjecture, generalizing the works of Howard on big Heegner points.