The Complexity of Higher Chow Groups – James Lewis (University of Alberta)


Department of Mathematics, Aula Magna.


Let $X/{\mathbb C}$ be a smooth projective variety. We consider two integral invariants, one of which is the level of the Hodge cohomology algebra $H^*(X,{\mathbb C})$ and the other involving the complexity of the higher Chow groups ${\rm CH}^*(X,m;{\mathbb Q})$ for $m\geq 0$. We conjecture that these two invariants are the same and accordingly provide some strong evidence in support of this.

Further information is available on the event page on the Indico platform.

Torna in cima