3 papers
math.NT2025
Relative completed cohomologies and modular symbols
Dongwen Liu, Binyong Sun
Generalizing Emerton's completed cohomologies, we define relative completed cohomologies of arithmetic manifolds. We also define modular symbols for them, and show that the relativ…
math.RT2025
Special unipotent representations of real classical groups: construction and unitarity
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
Let be a real classical group (including the real metaplectic group). We consider a nilpotent adjoint orbit of , the Langlands dual of (or th…
math.RT2025
Special unipotent representations of real classical groups: counting and reduction
Dan Barbasch, Jia-Jun Ma, Binyong Sun +1
Let be a real reductive group in Harish-Chandra's class. We derive some consequences of theory of coherent continuation representations to the counting of irreducible represent…