DE RHAM CRYSTALS ON THE PRISMATIC SITE OF OK
Prof. Hui Gao
2023-04-20 15:00-16:00
MCM110
Speaker: Prof. Hui Gao (Southern Univ of Science and Tech)Time: 15:00-16:00 April 20th, 2023 (Thursday)
Place: MCM 110
Title: DE RHAM CRYSTALS ON THE PRISMATIC SITE OF OK
Abstract: Let Ok be a mixed characteristic complete discrete valuation ring with perfect residue field. We classify de Rham crystals over the (log-) prismatic site of Ok using certain log connections. By establishing a Sen-Fontaine theory for B representations over a Kummer tower, we further classify these crystals by (log-) nearly de Rham representations. In addition. we compare (log-) prismatic cohomology of these crystals with the corresponding de Rham cohomology and Galois cohomology. This is a joint work with Yu Min and Yupeng Wang.
