Boming Jia

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math.RT2026

Hitchin's Conjecture for $sl_{n}$ in Odd Prime Degree

Boming Jia

We prove Hitchin's conjecture for $sl_{n}$ in every odd prime degree. More precisely, let $p = 2 k + 1$ be prime and let $n \geq k + 1$ . Every nonzero primitive element $α\inΛ^p(\…

math.RT2026

Cotangent Models of Nilpotent Orbit Closures

Boming Jia

Let $O$ be a nonzero nilpotent orbit in a complex simple Lie algebra $g$ . For $g$ of classical type, we classify the orbit closures $\overline{\mathcal…

math.RT2026

Minimal Nilpotent Orbits of type G2, F4 and E8

Boming Jia

Let $g$ be a complex simple Lie algebra of type $G_{2}$ , $F_{4}$ , or $E_{8}$ . We prove that the closure $O_{m i n} (g)$ of its minimal nilpotent orb…

math.RT2025

Minimal Nilpotent Orbits of type D and E

Boming Jia

We first show the closure of the minimal nilpotent adjoint orbit Omin^{D_n} in so_{2n} is isomorphic to the affinization of T^*(SL_{n-1}/[P,P]) where P is the parabolic subgroup P_…

Hitchin's Conjecture for sln​ in Odd Prime Degree

Cotangent Models of Nilpotent Orbit Closures

Minimal Nilpotent Orbits of type G2, F4 and E8

Minimal Nilpotent Orbits of type D and E

Hitchin's Conjecture for $sl_{n}$ in Odd Prime Degree