8 citations · 24 across the 11 of their papers we have counts for
12 papers
Microlocal Arthur packets as a quasi-canonical basis of stable distributions
Dan Ciubotaru, Emile Okada
We show that microlocal Arthur packets can be reconstructed from an otherwise underdetermined system of linear equations arising from Kashiwara's local index theorem. The key is a…
A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent -Parameters
Jonas Antor, Emile Okada
We give a microlocal description of the Aubert--Zelevinsky involution for all unipotent representations of all inner forms of simple adjoint unramified -adic groups. Via the rea…
The stable wave front set of theta representations
Edmund Karasiewicz, Emile Okada, Runze Wang
We compute the stable wave front set of theta representations for certain tame Brylinski-Deligne covers of a connected reductive -adic group. The computation involves two main i…
Ramification of weak Arthur packets for p-adic groups
Maxim Gurevich, Emile Okada
Weak Arthur packets have long been instrumental in the study of the unitary dual and automorphic spectrum of reductive Lie groups, and were recently introduced in the p-adic settin…
Local character expansions and asymptotic cones over finite fields
Dan Ciubotaru, Emile Okada
We generalise Gelfand-Graev characters to -graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive d…
Wavefront Sets of Unipotent Representations of Reductive -adic Groups II
Dan Ciubotaru, Lucas Mason-Brown, Emile Okada
The wavefront set is a fundamental invariant of an admissible representation arising from the Harish-Chandra-Howe local character expansion. In this paper, we give a precise formul…
Some Unipotent Arthur Packets for Reductive -adic Groups
Dan Ciubotaru, Lucas Mason-Brown, Emile Okada
Let be a -adic field and let be the -points of a connected reductive group, inner to split. The set of Aubert-Zelevinsky duals of the constituents of a te…
The Wavefront Sets of Unipotent Supercuspidal Representations
Dan Ciubotaru, Lucas Mason-Brown, Emile Okada
Let be a semisimple -adic group, inner to split. In this article, we compute the algebraic and canonical unramified wavefront sets of the irreducible su…
Wavefront Sets of Unipotent Representations of Reductive -adic Groups I
Dan Ciubotaru, Lucas Mason-Brown, Emile Okada
The wavefront set is a fundamental invariant arising from the Harish-Chandra-Howe local character expansion of an admissible representation. We prove a precise formula for the wave…
The wavefront set over a maximal unramified field extension
Emile Okada
Let be a depth- admissible smooth complex representation of a -adic reductive group that splits over an unramified extension. In this paper we develop the theory nece…
Reducing multi-qubit interactions in adiabatic quantum computation without adding auxiliary qubits. Part 1: The "deduc-reduc" method and its application to quantum factorization of numbers
Richard Tanburn, Emile Okada, Nike Dattani
Adiabatic quantum computing has recently been used to factor 56153 [Dattani & Bryans, arXiv:1411.6758] at room temperature, which is orders of magnitude larger than any number atte…
Reducing multi-qubit interactions in adiabatic quantum computation without adding auxiliary qubits. Part 2: The "split-reduc" method and its application to quantum determination of Ramsey numbers
Emile Okada, Richard Tanburn, Nikesh S. Dattani
Quantum annealing has recently been used to determine the Ramsey numbers R(m,2) for 3 < m < 9 and R(3,3) [Bian et al. (2013) PRL 111, 130505]. This was greatly celebrated as the la…