Heike Harenbrock

Mittagsseminar zur Arithmetik: Remy van Dobben de Bruyn: (Utrecht University): Equivalence of several conjectures on independence of l

Tuesday, 21.11.2023 10:15 im Raum SRZ 216/217

Mathematik und Informatik

The l-adic étale cohomology of a variety is defined in terms of the geometry of l-power degree coverings. Unlike in algebraic topology, there is no integer-valued theory to compare with, leading to a plethora of "independence of l" conjectures for varieties over finite fields. We will survey what is known, and prove that independence of l for Betti numbers is equivalent to independence of l for homological equivalence of algebraic cycles.

Angelegt am 02.11.2023 von Heike Harenbrock
Geändert am 06.11.2023 von Heike Harenbrock
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