Title: The Complexity of Higher Chow Groups, Speaker(s): James Lewis, University of Alberta, Date and time: 30 Nov 2022, 16:30 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Department of Mathematics (Aula Magna).
You can access the full event here: https://events.dm.unipi.it/e/127
Abstract --------
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.
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