Abhinandan
IMJ-PRG, Sorbonne Université
September 4, 2025
Comparison of $p$-adic cohomology theories: In modern arithmetic geometry, one of the most powerful tools is $p$-adic Hodge theory. A central theme of this theory is the comparison of various $p$-adic cohomology theories (étale, de Rham, crystalline, etc.) of algebraic/rigid analytic varieties, the motivation for which comes from complex Hodge theory. In this talk, I will explain some of these motivations, and provide an overview on the comparison of various $p$-adic cohomology theories from classical and modern perspectives.
IMJ-PRG, Sorbonne Université
September 4, 2025
Comparison of $p$-adic cohomology theories: In modern arithmetic geometry, one of the most powerful tools is $p$-adic Hodge theory. A central theme of this theory is the comparison of various $p$-adic cohomology theories (étale, de Rham, crystalline, etc.) of algebraic/rigid analytic varieties, the motivation for which comes from complex Hodge theory. In this talk, I will explain some of these motivations, and provide an overview on the comparison of various $p$-adic cohomology theories from classical and modern perspectives.