### K 1 of some noncommutative p adic group rings

Kakde, M *(UCL)*

Wednesday 16 December 2009, 10:15-11:15

Seminar Room 1, Newton Institute

#### Abstract

In this talk we will compute K_1 of some p-adic group rings which reduces, by a strategy of Burns and Kato, the noncommutative main conjecture for totally real number fields to commutative main conjecture for totally real number fields (a theorem of Wiles assuming Iwasawa invariant mu to be 0) and certain congruences between abelian p-adic zeta functions.

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