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.