Florian Herzig

Department of Mathematics
University of Toronto
40 St. George Street, #6290
Toronto, ON M5S 2E4

Office: Bahen Centre 6186
E-mail: my last name at math dot toronto dot edu

Fields Thematic Program on Galois Representations (January-June 2012)

Teaching

• MAT 1104, The Mod p Representation Theory of p-adic Groups
  
  • Syllabus, exercises, notes by C. Johansson
    

Research

• Ordinary representations of G(Q_p) and fundamental algebraic representations (with Christophe Breuil), 78 pages

• Weight cycling and Serre-type conjectures for unitary groups (with Matthew Emerton and Toby Gee), 64 pages.

• Explicit Serre weight conjectures (with Matthew Emerton, Toby Gee, and David Savitt).

• Adequate subgroups (with Robert Guralnick, Richard Taylor, and Jack Thorne).
  Appendix to On the automorphy of l-adic Galois representations with small residual image by Jack Thorne.
  To appear, Journal de l'Institut de Mathématiques de Jussieu.

• The classification of irreducible admissible mod p representations of a p-adic GL_n.
  Inventiones Mathematicae 186 (2011), no. 2, 373-434.

• A Satake isomorphism in characteristic p.
  Compositio Mathematica 147 (2011), no. 1, 263-283.

• Conjecture de type de Serre et formes compagnons pour GSp₄ (with Jacques Tilouine).
  To appear, Journal für die reine und angewandte Mathematik (Crelle).

• The weight in a Serre-type conjecture for tame n-dimensional Galois representations.
  Duke Mathematical Journal 149 (2009), no. 1, 37-116. (Typos.)

• The weight in a Serre-type conjecture for tame n-dimensional Galois representations. Ph.D. thesis, 2006. With some typos corrected.
  (More emphasis on GL₃ and GL₄ compared to the paper of the same title above.)

Other Notes

• Classification of irreducible mod p representations of a p-adic GL_n (scanned).
  Notes for mini-course at the Galois Trimester, Paris (Jan 4-Mar 27, 2010)
• Serre-type conjecture for tame n-dimensional mod p Galois representations (scanned).
  Serre-type conjectures, mod p cohomology, and representation theory of GL_n(Q_p) (scanned).
  Notes for half of a mini-course with Matthew Emerton at the summer school Représentations p-adiques des groupes p-adiques, Paris (July 7-12, 2008)
• Smooth representations of p-adic reductive groups.
  Notes for the Instructional Conference on Representation Theory and Arithmetic, Northwestern (May 5-9, 2008)

Northwestern Number Theory Seminar (2008-2010)