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

Debanjana Kundu, University of Toronto

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

• Room: MC 5417
• Zoom link: https://uwaterloo.zoom.us/j/99239659097?pwd=ZjNVRjQ1MWpuQmhTb01ZS0RGNDJjQT09 (Please contact Kevin Hare - kghare@uwaterloo.ca - to confirm that this talk will be available through Zoom.)