Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | 胡 飞 博士，University of Oslo
| | Inviter: | | Title:
| Comparison Problems on Dynamical Degrees, Norms and Spectral Radii of Correspondences | Time & Venue:
| 2021.05.23 21:00-22:00 腾讯会议：947 9035 3330 | Abstract:
| Inspired by a result of Esnault and Srinivas on automorphisms of surfaces, Truong raised a question on the comparison of two dynamical degrees, which are defined using pullback actions of dynamical correspondences on numerical cycle class groups and cohomology groups, respectively. An affirmative answer to his question would surprisingly imply Weil’s Riemann hypothesis. In this talk, we introduce more comparison problems on the norms and spectral radii of the pullback actions of certain correspondences. I will talk about their connections with Truong’s dynamical degree comparison and the standard conjectures. Under certain technical assumption, some partial results will be given. I will also discuss some applications to Abelian varieties and surfaces. This is based on joint work with Tuyen Truong.
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