Zobrazeno 1 - 10
of 770
pro vyhledávání: '"Perrin, Nicolas"'
We prove that Schubert varieties in flag manifolds are uniquely determined by their equivariant cohomology classes, as well as a stronger result that replaces Schubert varieties with closures of Bialynicki-Birula cells under suitable conditions. This
Externí odkaz:
http://arxiv.org/abs/2409.11387
We prove that the Schubert structure constants of the quantum K-theory rings of symplectic Grassmannians of lines have signs that alternate with codimension and vanish for degrees at least 3. We also give closed formulas that characterize the multipl
Externí odkaz:
http://arxiv.org/abs/2402.12003
We prove a collection of formulas for products of Schubert classes in the quantum $K$-theory ring $QK(X)$ of a cominuscule flag variety $X$. This includes a $K$-theory version of the Seidel representation, stating that the quantum product of a Seidel
Externí odkaz:
http://arxiv.org/abs/2308.05307
We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents (VMRT). In particular, we prove that these varieties are homogeneous and that for non-exceptional irre
Externí odkaz:
http://arxiv.org/abs/2303.03013
Autor:
Benedetti, Vladimiro, Perrin, Nicolas
In this paper we study general hyperplane sections of adjoint and coadjoint varieties. We show that these are the only sections of homogeneous varieties such that a maximal torus of the automorphism group of the ambient variety stabilizes them. We th
Externí odkaz:
http://arxiv.org/abs/2207.02089
We prove that the Schubert structure constants of the quantum $K$-theory ring of any minuscule flag variety or quadric hypersurface have signs that alternate with codimension. We also prove that the powers of the deformation parameter $q$ that occur
Externí odkaz:
http://arxiv.org/abs/2205.08630
Autor:
Perrin, Nicolas
In this thesis we investigate two types of approaches for footstep planning for humanoid robots: on one hand the discrete approaches where the robot has only a finite set of possible steps, and on the other hand the approaches where the robot uses co
Externí odkaz:
http://oatao.univ-toulouse.fr/6937/1/perrin.pdf
Autor:
Perrin, Nicolas, Smirnov, Maxim
This paper is devoted to the study of the quantum cohomology of coadjoint varieties of simple algebraic groups across all Dynkin types. We determine the non-semisimple factors of the small quantum cohomology ring and relate them to ADE-singularities.
Externí odkaz:
http://arxiv.org/abs/2112.12436
In a previous paper Affine symmetries of the equivariant quantum cohomology of rational homogeneous spaces, a general formula was given for the multiplication by some special Schubert classes in the quantum cohomology of any homogeneous space. Althou
Externí odkaz:
http://arxiv.org/abs/2012.04938