Nasjonalt algebramøte 2018:Tuyen Trung Truong
Tuyen Trung Truong, UiO: A generalisation of Weil's Riemann hypothesis
Abstract: This talk concerns a conjecture, which for each regular projective variety X over an algebraically closed field and a regular morphism f:X->X, relates the pullbacks on etale cohomology and on numerical groups of algebraic cycles. When f = the Frobenius morphism, this conjecture reduces to the famous Weil's Riemann hypothesis, which was solved by P. Deligne in the 1970s. Relations to complex dynamics and Standard conjectures in algebraic geometry are also discussed. At the end of the talk, I will discuss some evidences which support this conjecture, including my previous results and some very recent results by Fei Hu (University of British Columbia, Canada).