Séminaire TNGA : Wansu Kim

Orateur : Wansu Kim (KAIST)

Titre : On equivariant refinement of the Birch and Swinnerton-Dyer conjecture over global function fields

Résumé : In this talk, I will review the equivariant refinement of the Birch and Swinnerton-Dyer conjecture over global function fields, which was formulated in the joint work with David Burns and Mahesh Kakde. I will especially focus on Galois-descent aspect of the log crystalline cohomology with coefficients in log Dieudonné crystals. If time permits, I will discusssome later developments and special cases, based on the joint work with Ki-Seng Tan, Fabien Trihan and Kwok-Wing Tsoi.