3 papers
math.RT2025
Alperin's weight conjecture, Galois automorphisms, alternating sums, and functorial equivalences
Xin Huang, Deniz Yılmaz
We show that functorial equivalences can offer new insight into the blockwise Galois Alperin weight conjecture (BGAWC). Inspired by Knörr and Robinson's work, we first formulate th…
math.DG2025
On stability of exponentially subelliptic harmonic maps
Xin Huang
In this paper, we study the stability problem of exponentially subelliptic harmonic maps from sub-Riemannian manifolds to Riemannian manifolds. We derive the rst and second variati…
math.RT2024
On stable equivalences with endopermutation source and Külshammer--Puig classes
Xin Huang
We give a new proof, by using the terminology and notation in the textbook \cite{Lin18b}, to a result, due to Puig, stating that a stable equivalence of Morita type between two blo…