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BMS-DMV LIEGE 2001
June 8-10, 2001
University of Liège
Liège, Belgium

Organizers
Klaus D. Bierstedt, J. Schmets

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A Thom-Sebastiani formula for motivic zeta functions
by
Jan Denef
K.U. Leuven

Using arc spaces of algebraic varieties and motivic integration we define motivic analogues of Igusa's local zeta functions. These are power series over the Grothendieck group of algebraic varieties with an endomorphism. We discuss their relation with motivic nearby cycles and deduce a motivic analogue of the Thom-Sebastiani formula for the Hodge spectrum of a critical point of a polynomial.

http://www.wis.kuleuven.ac.be/wis/algebra/denef.html

Date received: February 28, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafv-69.