## NUmber Theory Seminar 2016

TL;DR: Jared Weinstein's survey of reciprocity laws and Galois representations; some local Langlands and perfectoid spaces

- 1 March 2016: Multiplicativity of coefficients of Hecke eigenforms, by Alex Ghitza
- 8 March 2016: Multiplicativity of coefficients for Siegel modular forms, by Alex Ghitza
- 15 March 2016: Eisenstein series and lattices, by Owen Colman
- 22 March 2016: Modular curves as Riemann surfaces, by Owen Colman
- 12 April 2016: Reciprocity laws -- Introduction, by Alex Ghitza
- 19 April 2016: Reciprocity laws -- Fermat, Euler, and Gauss, by Alex Ghitza
- 26 April 2016: Class field theory I (3.1-3.2), by Owen Colman
- 3 May 2016: Class field theory II (3.3-3.4), by Angus McAndrew
- 10 May 2016: Class field theory III (3.5-3.6), by Angus McAndrew
- 17 May 2016: Elliptic modular forms I (4.1-4.2), by Hanter Wibawanti
- 24 May 2016: Elliptic modular forms II (4.3-4.4), by Alex Ghitza
- 31 May 2016: Elliptic modular forms III (4.5), by Alex Ghitza
- 7 June 2016: Elliptic modular forms IV (4.6-4.7), by Alex Ghitza
- 21 June 2016: The cohomology of arithmetic manifolds I, by Arun Ram
- 28 June 2016: The cohomology of arithmetic manifolds II, by Arun Ram
- 6 July 2016: The cohomology of arithmetic manifolds III, by Arun Ram
- 12 July 2016: The cohomology of arithmetic manifolds IV, by Arun Ram
- 3 August 2016: Weight optimisation for elliptic modular eigenforms (after Edixhoven), by Alex Ghitza
- 10 August 2016: Reduction to weight at most $p+1$ (after Edixhoven), by Alex Ghitza
- 17 August 2016: Organisational meeting
- 24 August 2016: Classical geometric Langlands, by Kari Vilonen
- 31 August 2016: Local class field theory, by Owen Colman
- 7 September 2016: Local Langlands correspondence, by Masoud Kamgarpour
- 14 September 2016: Perfectoid fields I, by Jason Polak
- 5 October 2016: Perfectoid fields II, by Jason Polak
- 12 October 2016: Valuations, by Alex Ghitza
- 26 October 2016: Valuation spectrum and adic rings, by Alex Ghitza
- 2 November 2016: Huber and Tate rings, by Alex Ghitza
- 9 November 2016: Examples of adic spaces, by Alex Ghitza
- 16 November 2016: Structure (pre)sheaves on adic spaces, by Alex Ghitza