favicon Frontiers in Mathematical Sciences
7th Conference
University of Isfahan - January 1-3, 2020
Title:
Special values of Dedekind zeta-functions
Speaker:
Reza Taleb, Shahid Beheshti University
Date, Time, and Venue:  Wednesday, January 1 | 16:00-16:45 | Hall 1
Abstract:
For a number field $ F $ and an integer $ n \geq 2 $, the special values $ \zeta_{F}(1-n) $ of Dedekind zeta-function $ \zeta_{F}(s) $ at $ s = 1-n $ are closely related to certain algebraic $ K $-groups and motivic cohomology groups by some conjectures, e.g. Lichtenbaum conjecture and Coates- Sinnott conjecture. In this talk after giving the definitions and formulations we survey the relevant results on these conjectures.
University of Isfahan IPM-Isfahan National Elits Foundation Iran National Science Foundation