Number Theory Seminar

Tuesday, January 24, 2023 3:30 pm - 3:30 pm EST (GMT -05:00)

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.

This seminar will be held both online and in person