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 \(\mathrm{GL}_2\) 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 \(\mathbf{Q}\), 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