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

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Abstract
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.
Speaker

Debanjana Kundu
PIMS Postdoctoral Fellow
Department of Mathematics
University of British Columbia, Vancouver
 

Location
WXLR A308