# Ramesh Sreekantan: Algebraic cycles on Abelian and K3 surfaces

Date: 8. 6. 2012

Source: Algebra seminar

Source: Algebra seminar

There are several conjectures in the theory of algebraic cycles relating
groups of algebraic cycles, on the one hand, with values of certain zeta
functions, on the other. One well known example is the Dirichlet Class
number formula relating the units group and class group with the value
at 0 of the Dedekind zeta function.
\zeta_K^*(0)=-R_Kh_K/w_k
Several people have formulated general conjectures generalizing this
formula. In this talk we will describe some work on algebraic cycles on
Abelian surfaces and K3 surfaces which is motivated by trying to prove
these conjectures in some special cases.

Sreda, 13. junija 2012, ob 10. uri v Plemljevem seminarju, Jadranska 19/III, Ljubljana