Kisin, MarkNie, Tian2021-11-2220212021-09-092021-11Nie, Tian. 2021. Absolute Hodge Cycles in Prismatic Cohomology. Doctoral dissertation, Harvard University Graduate School of Arts and Sciences.28768002https://nrs.harvard.edu/URN-3:HUL.INSTREPOS:37370189In this thesis we construct the notion of absolute Hodge cycles in prismatic cohomology for abelian schemes. We show that they are compatible with their de Rham and p-adic components under comparison isomorphisms.application/pdfennumber theoryp-adic Hodge theoryprismatic cohomologyMathematicsThesis or Dissertation2021-11-220000-0002-3343-2702