Number Theory Seminar

Debanjana Kundu, University of Toronto

"Heuristics for anti-cyclotomic $\mathbb{Z}_p$-extensions"

For an imaginary quadratic field, there are two natural $\mathbb{Z}_p$-extensions, the cyclotomic and the anticyclotomic. We'll start with a brief description of Iwasawa theory for the cyclotomic extensions, and then describe some computations for anticyclotomic $\mathbb{Z}_p$ extensions, especially the fields and their class numbers. This is joint work with LC Washington.