Notes from lectures

London number theory study group, autumn 2018

The main page for the autumn 2018 London number theory study group is here. Here is the program. I am posting notes from some of the talks. Most of these documents are either written by the speaker or have been edited by the speaker.

1. Overview Notes from Ana Caraiani
2. Overview Notes from Ana Caraiani
3. The axioms of a Shimura variety Notes
4. Examples of Shimura varieties
5. Integral models of Shimura varieties of Hodge type Notes
6. The Newton stratification on the special fiber Notes
7. The affine Grassmannian Notes
8. Perverse sheaves Notes from Pol van Hoften
9. The geometric Satake isomorphism Notes from Timo Richarz
10. The geometric Satake isomorphism (continuation)
11. Affine Deligne-Lusztig varieties
12. Mirkovic-Vilonen cycles Notes from Dan Gulotta
13. Moduli of local shtukas Notes from James Newton
14. Moduli of local shtukas (continuation)
15. Review of cohomological correspondences Notes
16. Cohomological correspondences on the moduli space of local shtukas
17. The spectral action, part I
18. The spectral action, part II Notes

Various number theory seminars

2019

• Mladen Dimitrov, p-adic L-functions of Hilbert cusp forms and the trivial zero conjecture Notes

2018

• Netan Dogra, Serre's uniformity question and the Chabauty–Kim method for modular curves Notes
• Alice Pozzi, The Eigencurve at Eisenstein weight one points Notes
• Victor Rotger, Venkatesh's conjecture for weight one forms Notes
• Jack Shotton, Shimura curves and Ihara's lemma Notes
• Preston Wake, Iwasawa invariants in residually reducible Hida families Notes

Main page.