q-Higgs Modules and the Nygaard Filtration in Prismatic Cohomology

q-Higgs Modules and the Nygaard Filtration in Prismatic Cohomology

Explore a mathematical lecture that delves into the relationship between prismatic crystals and q-Higgs modules, examining their cohomology over bounded prisms. Learn how prismatic crystals and their cohomology can be expressed through q-Higgs modules when working with specific conditions involving q-crystalline prisms or primitive pth roots of unity. Gain insights into the isogeny property of Frobenius, de Rham specialization, and the Nygaard filtration's role in prismatic cohomology of prismatic F-crystals. Presented by Professor Takeshi Tsuji from The University of Tokyo, this advanced mathematics lecture draws parallels with crystalline cohomology theory while exploring complex algebraic structures.