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Wojciech J. Gajda

professor of mathematics

Mailing address:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Umultowska 87, 61-614 Poznań, POLAND
Office: Collegium Mathematicum, B1-35
Phone: +48 (61) 829 5503
Fax: +48 (61) 829 5315
Email: gajda AT amu DOT edu DOT pl

Research interests:

arithmetic geometry, number theory, algebraic topology, algebraic K-theory

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Andrea Bandini, Università degli Studi di Parma

02.12.2015, 12.00, B1-37

Title: Iwasawa Main Conjecture in cyclotomic function fields

Abstract:

We present a short introduction to the main features of Iwasawa theory in the function field setting. We focus in particular on class groups for the cyclotomic Z_p^\infty-extension generated by the \p-torsion of the Carlitz module and prove an Iwasawa Main Conjecture relating the Fitting ideal of Iwasawa modules (i.e., class groups in this case) to a \p-adic L-function. As an application we provide an analog of the Ferrero-Washington theorem and some information on the values of the Goss-Carlitz zeta-function at odd negative integers.

Slides from the talk are available here.