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Alexandre Lourdeaux (Southern Univer-sity of Science and Technology, China)
2026-10-01  10:30 - 11:30
Room 202, Astronomy and Mathematics Building

Serre's Conjecture I states that over a perfect field of cohomological dimension at most 1, the first non abelian Galois cohomology set of any connected linear algebraic group is trivial, that is every torsor under such a group has a rational point. In this talk, after introducing some fundamental facts about Galois cohomology in order to understand the meaning of Conjecture I, I will present a generalization of Conjecture I to unirational groups over a field of Kato dimension at most 1. This is a joint work with Anis Zidani.