Construction of tame supercuspidal representations

By J. Yu. 2001

228 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a328336e3431f63ca9d6d8e18691d1a71b3a54e3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Tasho Kaletha
2. Jessica Fintzen
3. Mark Reeder
4. J. Yu
5. W. Gan
6. B. Gross
7. Ju-lee Kim
8. Shaun Stevens

In Mathematical Physics

1. Tasho Kaletha
2. Jessica Fintzen
3. Mark Reeder
4. W. Gan
5. J. Yu
6. B. Gross
7. Ju-lee Kim
8. Shaun Stevens

Citations in the corpus

• Epipelagic $$L$$L-packets and rectifying characters (2012, methodology): “3 we use arguments from the works of Adler [1] and Yu [58] to show that certain pairs (S, χ) of a maximal torus of G and a character of S(F) lead to the stable vectors considered in [48] and hence to epipelagic representations.”
• On an exact mass formula of Shimura (2001, methodology): “On the other hand, if we let Gy� ,r:r + denote the quotient Gy� ,r /Gy� ,r + for r> 0, then the proposition, together with [ Yu , Proposition 2.2], implies that Gx,r:r + is the set of Gal(F � /F )-fixed points of H � y� ,r:r + .N ow, for r> 0, we have the Moy-Prasad isomorphism H � y � ,r:r + ∼ = h ”
• Regular supercuspidal representations (2016, methodology): “If X∗ ∈ Lie∗(H)(F )−r represents φ|H(F )r as above, then its image X̃∗ ∈ Lie∗(H̃)(F )−r under the natural inclusion represents φ̃|H̃(F )r .”
• Supercuspidal representations: An exhaustion theorem (2006, background): “Let G := (G0, · · · , Gd = G) be a sequence of connected reductive k-groups with G0 G1 · · · Gd. License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use (1) If each Gi is a k-split Levi subgroup of G, G is called a k-Levi sequence in G. (2) If…”
• Purity of equivalued affine Springer fibers (2003, background): “The appropriate context here is that of apartments for tamely ramified tori in reductive groups over non-archimedean local fields (see [Adl98, Yu01] for example).”
• Arithmetic invariants of discrete Langlands parameters (2010, background): “For p large enough they appear in the constructions of [1] and [57], as they must, by [28].”
• Semisimple characters for p-adic classical groups (2005, unknown): “3), [15] (SC3)), we will need the following result:”
• Epipelagic representations and invariant theory (2013, background): “(The generalization of Adler’s approach in [38] gives all supercuspidal representations of G(k) when p is large [20].”
• Distinguished tame supercuspidal representations (2007, background): “The precise definition can be found in [ Y ].”
• Types for tame p-adic groups (2018, methodology): “Hence ( ~G, x,~r, ρ̃|(Gn+1)[x] , ~φ) satisfies all the conditions that Yu requires for his construction of supercuspidal representations ([Yu01, § 3]), and ind G(k) K̃ π K̃ is the corresponding irreducible supercuspidal representations ([Yu01, Proposition 4.6]).”
• The supercuspidal representations of p-adic classical groups (2006, background): “For positive-level representations in the so-called tame case, the most general constructions of supercuspidal representations are due to Yu [33].”