Acris-comparison of the Ainf-cohomology
Time: Tue, 15 Oct 2019, 13:30-15:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: Zijian Yao 姚子建 (Harvard University)
Abstract:
A major goal of p-adic Hodge theory is to relate arithmetic structures coming from various cohomologies of p-adic varieties. Such comparisons are usually achieved by constructing intermediate cohomology theories. A recent successful theory, namely the Ainf-cohomology, has been invented by Bhatt-Morrow-Scholze, originally via perfectoid spaces. In this talk, I will describe a simpler approach to prove the comparison between Ainf-cohomology and absolute crystalline cohomology, using the de Rham comparison and flat descent of cotangent complexes.