BIRS Workshop Lecture Videos
Iwasawa theory in higher codimension Chinburg, Ted
This talk will be a survey of recent work on higher codimension Iwasawa theory (joint with F. Bleher, R. Greenberg, M. Kakde, G. Pappas, R. Sharifi and M. Taylor). This has to do with relating \(p\)-adic \(L\)-functions to the behavior of Iwasawa modules which are supported in codimension larger than one as modules for an Iwasawa algebra. One idea I will discuss is that the natural analytic invariants arising from Katz \(p\)-adic \(L\)-functions pertain to the derived top exterior powers of Iwasawa modules. For first Chern classes, passing to the derived top exterior power makes no difference, but for higher Chern classes it does. This is analogous to the fact that Stark's conjectures pertain to regulators rather than to the individual entries of matrices whose determinants are regulators.
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