Mathematical Sciences Research Institute

Home » Workshop » Schedules » p-adic periods via perfectoid spaces

p-adic periods via perfectoid spaces

Hot Topics: Galois Theory of Periods and Applications March 27, 2017 - March 31, 2017

March 31, 2017 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Kiran Kedlaya (University of California, San Diego)
Location: MSRI: Simons Auditorium


Given the interpretation of classical periods as matrix coefficients arising in the comparison between singular and de Rham cohomology of complex algebraic varieties, it is natural to view as a p-adic analogue the comparison between etale, crystalline, and de Rham cohomology of algebraic varieties. We describe some new results and perspectives on p-adic comparison isomorphisms emerging from recent developments in the theory of perfectoid spaces. These include a new direct cohomological realization of the crystalline comparison isomorphism (by Bhatt-Morrow-Scholze), and the discovery of "abstract instances" of comparison isomorphisms corresponding to as-yet-unknown families of motives over Shimura varieties (by Liu-Zhu).

28378?type=thumb Kedlaya.Notes 776 KB application/pdf Download
Video/Audio Files


H.264 Video 17-Kedlaya.mp4 547 MB video/mp4 rtsp://videos.msri.org/data/000/028/128/original/17-Kedlaya.mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.