Time: 1:00 pm - 2:30 pm on Thursdays
Location: 528 Mathematics
Lunch: Meet at 11:30 am in the Mathematics Building Lobby
This semester David Hansen and I are organizing a reading seminar on Kato's Euler systems, with emphasis on understanding the explicit reciprocity laws.
Note that Eric Urban is currently running a research seminar on Euler systems, which focuses on the general machinery of Euler systems and complements our topic well.
Please email me if you would like to join the mailing list for this seminar.
Here are my live-TeXed notes for the seminar. Due to my own lack of understanding of the materials, I have inevitably introduced both mathematical and typographical errors in these notes. Please email me if you have any corrections or comments.
Date | Speaker | Topic | References | |
Lecture 1 | September 15 | David Hansen | Introduction | |
Lecture 2 | September 22 | Shizhang Li | Siegel units and Euler systems in K_2 of modular curves | Sections 1-2 |
Lecture 3 | September 29 | Jingwei Xiao | Eisenstein series and Euler systems in the space of modular forms | Sections 3-4 |
No talk | October 6 | Canceled | ||
Lecture 4 | October 13 | David Hansen | p-adic Euler systems | Sections 8-9 |
Lecture 5 | October 20 | Qirui Li | Modular forms and B_dR | Section 11.1-11.3 |
Lecture 6 | October 27 | Qirui Li | Modular forms and B_dR (continued) | Section 11.1-11.3 |
Shrenik Shah | Introduction to the Rankin--Selberg method | Section 1.6 of Bump | ||
Lecture 7 | November 3 | Shrenik Shah | The Rankin--Selberg method and Kato's Euler systems | Sections 3, 4, 7 |
Lecture 8 | November 10 | Samuel Mundy | p-adic Hodge theory for imperfect residue fields: the crystalline site and B_dR | Section 10.1 |
Lecture 9 | November 17 | Samuel Mundy | p-adic Hodge theory for imperfect residue fields (continued) | Section 10.1-10.5 |
No talk | November 24 | Thanksgiving Break | ||
Lecture 10 | December 1 | Samuel Mundy | General remarks on Euler systems | Perrin-Riou |
Lecture 11 | December 8 | David Hansen | Fun with crystalline periods | Blog post |
Lecture 12 | December 15 | Chao Li | Explicit reciprocity laws | Notes |
Last updated: January 14, 2017.
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