Shrawan Kumar

activity

19952023

most citedFrobenius splitting of cotangent bundles of flag varieties and geometry of nilpotent cones

81 citations · 183 across the 46 of their papers we have counts for

collaborators

53 papers

math.AG2023★ 1 cited

Nonexistence of regular maps between homogeneous projective varieties

Shrawan Kumar

We study non-existence of non-constant regular maps from a partial flag variety $X = G / P$ to another partial flag variety $X^{'} = G^{'} / P^{'}$ and prove that there does not exist any non-const…

math.AG2023

Positivity in $T$ -Equivariant $K$ -theory of partial flag varieties associated to Kac-Moody groups

Joseph Compton, Shrawan Kumar

We prove sign-alternation of the product structure constants in the basis dual to the basis consisting of the structure sheaves of Schubert varieties in the torus-equivariant Groth…

math.RT2023

Lie algebra cohomology of the positive part of twisted affine Lie algebras

Jiuzu Hong, Shrawan Kumar

The explicit Verlinde formula for the dimension of conformal blocks, attached to a marked projective curve $Σ$ , a simple Lie algebra $g$ over $C$ and integrable…

math.RT2022

Components of $V (ρ) \otimes V (ρ)$ and dominant weight polyhedra for affine Kac-Moody Lie algebras

Sam Jeralds, Shrawan Kumar

Kostant asked the following question: Let $g$ be a simple Lie algebra over the complex numbers. Let $λ$ be a dominant integral weight. Then, $V (λ)$ is a component of $V(…

math.AG2022★ 1 cited

Conjectural positivity of Chern-Schwartz-MacPherson classes for Richardson cells

Shrawan Kumar

Following some work of Aluffi-Mihalcea-Schürmann-Su for the CSM classes of Schubert cells and some elaborate computer calculations by R. Rimanyi and L. Mihalcea, I conjecture that…

math.RT2022★ 4 cited

Twisted conformal blocks and their dimension

Jiuzu Hong, Shrawan Kumar

Let $Γ$ be a finite group acting on a simple Lie algebra $g$ and acting on a $s$ -pointed projective curve $(Σ, p = {p_{1}, \dots, p_{s}})$ faithfully (for $s \geq 1$ ).…

Nonexistence of regular maps between homogeneous projective varieties

Positivity in T-Equivariant K-theory of partial flag varieties associated to Kac-Moody groups

Lie algebra cohomology of the positive part of twisted affine Lie algebras

Components of V(ρ)⊗V(ρ) and dominant weight polyhedra for affine Kac-Moody Lie algebras

Conjectural positivity of Chern-Schwartz-MacPherson classes for Richardson cells

Twisted conformal blocks and their dimension

Positivity in $T$ -Equivariant $K$ -theory of partial flag varieties associated to Kac-Moody groups

Components of $V (ρ) \otimes V (ρ)$ and dominant weight polyhedra for affine Kac-Moody Lie algebras