8 citations · 18 across the 14 of their papers we have counts for
5 papers · 1 filter
Epipelagic Langlands parameters and L-packets for unitary groups
Tony Feng, Niccolo Ronchetti, Cheng-Chiang Tsai
Reeder and Yu have recently given a new construction of a class of supercuspidal representations called epipelagic representations. We explicitly calculate the Local Langlands Corr…
Nearby cycles of parahoric shtukas, and a fundamental lemma for base change
Tony Feng
Using the Langlands-Kottwitz paradigm, we compute the trace of Frobenius composed with Hecke operators on the cohomology of nearby cycles, at places of parahoric reduction, of perv…
An Alternating Property for Higher Brauer Groups
Tony Feng
Using the calculus of Steenrod operations in étale cohomology developed in [Feng17], we prove that the analogue of Tate's pairing on higher Brauer groups is alternating on 2-torsio…
Etale Steenrod operations and the Artin-Tate pairing
Tony Feng
We prove a 1966 conjecture of Tate concerning the Artin-Tate pairing on the Brauer group of a surface over a finite field, which is the analogue of the Cassels-Tate pairing. Tate a…
Extensions of Vector Bundles on the Fargues-Fontaine Curve
Christopher Birkbeck, Tony Feng, David Hansen +4
We completely classify the possible extensions between semistable vector bundles on the Fargues-Fontaine curve (over an algebraically closed perfectoid field), in terms of a simple…