## NUmber Theory Seminar 2013

TL;DR: Serre's Duke paper on modularity; miscellaneous

- 23 October 2013: Maeda's conjecture on elliptic and Siegel modular forms, by Angus McAndrew
- 9 October 2013: Ramanujan-style congruences (after Dummigan and Fretwell), by Alex Ghitza
- 25 September 2013: Configurations of boundary components of Satake compactifications, by Alex Ghitza
- 16 September 2013: The Auslander bijections, by Claus Ringel (Bielefeld)
- 11 September 2013: A theta operator for Siegel modular forms (mod $p$), by Max Flander (Completion Seminar)
- 4 September 2013: Taking derivatives of (Siegel) modular forms, by Alex Ghitza
- 28 August 2013: Symmetric functions and Harder-type congruences, by Alex Ghitza
- 31 July 2013: Simultaneous non-vanishing of pairs of automorphic $L$-functions, by Jeff Hoffstein (Brown University)
- 10 July 2013: Alcove walks and Mirkovic-Vilonen cycles, by Arun Ram
- 26 June 2013: Local Langlands correspondence for $GL_2$ and Langlands reciprocity conjecture, by James Withers
- 5 June 2013: Automorphic representations of weight one, by Rob Sayer
- 29 May 2013: Modularity of $\tilde{\rho}_{E,3}$, by Lloyd Peters
- 22 May 2013: Explicit examples of Serre's conjecture, by Rob Sayer
- 15 May 2013: Applications of Serre's conjecture II, by Alex Ghitza
- 8 May 2013: Applications of Serre's conjecture I, by Angus McAndrew
- 1 May 2013: The recipe for the weight $k$, by Alex Ghitza
- 17 April 2013: Statement(s) of Serre's conjecture(s) and recipes for $N$, $\varepsilon$, $k$ mod $(p-1)$, by Alex Ghitza
- 10 April 2013: Galois representations mod $p$, by James Withers
- 27 March 2013: Absolute Galois group of $\mathbb{Q}$, decomposition, inertia, Frobenius elements, by Rob Sayer
- 20 March 2013: Modular forms mod $p$ and operators, by Max Flander
- 13 March 2013: A wide overview of modularity, by Alex Ghitza
- 6 March 2013: Organisational meeting