Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Konstanze Rietsch"'
Publikováno v:
Oberwolfach Reports. 17:569-600
Publikováno v:
Russian Mathematical Surveys. 76:549-551
Autor:
Lauren Williams, Konstanze Rietsch
Publikováno v:
Duke Math. J. 168, no. 18 (2019), 3437-3527
Rietsch, K & Williams, L 2019, ' Newton-Okounkov bodies, cluster duality and mirror symmetry for Grassmannians ', Duke mathematical journal, vol. 168, no. 18, pp. 3437-3527 . https://doi.org/10.1215/00127094-2019-0028
Rietsch, K & Williams, L 2019, ' Newton-Okounkov bodies, cluster duality and mirror symmetry for Grassmannians ', Duke mathematical journal, vol. 168, no. 18, pp. 3437-3527 . https://doi.org/10.1215/00127094-2019-0028
We use cluster structures and mirror symmetry to explicitly describe a natural class of Newton-Okounkov bodies for Grassmannians. We consider the Grassmannian $X=Gr_{n-k}(\mathbb C^n)$, as well as the mirror dual Landau-Ginzburg model $(\check{X}^\ci
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96bb9afd973ef78e7ed142d292a1150f
https://projecteuclid.org/euclid.dmj/1573462819
https://projecteuclid.org/euclid.dmj/1573462819
Publikováno v:
Uspekhi Matematicheskikh Nauk. 76:187-188
Autor:
Konstanze Rietsch, Robert J. Marsh
Publikováno v:
Marsh, R & Rietsch, K 2020, ' The B-model connection and mirror symmetry for Grassmannians ', ADVANCES IN MATHEMATICS, vol. 366, 107027, pp. 1-131 . https://doi.org/10.1016/j.aim.2020.107027
We consider the Grassmannian X = G r n − k ( C n ) and describe a ‘mirror dual’ Landau-Ginzburg model ( X ˇ ∘ , W q : X ˇ ∘ → C ) , where X ˇ ∘ is the complement of a particular anti-canonical divisor in a Langlands dual Grassmannian
Autor:
Konstanze Rietsch
Publikováno v:
Communications in Mathematical Physics. 309:23-49
We use representation theory to construct integral formulas for solutions to the quantum Toda lattice in general type. This result generalizes work of Givental for SL(n)/B in a uniform way to arbitrary type and can be interpreted as a kind of mirror
Autor:
Konstanze Rietsch
Publikováno v:
Advances in Mathematics. 217:2401-2442
Let G be a simple simply connected complex algebraic group. We give a Lie-theoretic construction of a conjectural mirror family associated to a general flag variety G / P , and show that it recovers the Peterson variety presentation for the T -equiva
Autor:
Konstanze Rietsch
Publikováno v:
Journal of the American Mathematical Society. 21:611-615
Remark 4.3. If P is the parabolic subgroup, thenGj is a well-defined (regular) function on the Bruhat cell BwPB/B precisely in the case m ∈ I = {n1, . . . , nk}. Proof of Theorem 4.2. (1) is proved in [33]. See also Lemma 2.3 in [35]. We will deduc
Publikováno v:
King's College London
Let F be an algebraically closed field of characteristic different from 2. We show that every nonsingular skew-symmetric n by n matrix X over F is orthogonally similar to a bidiagonal skew-symmetric matrix. In the singular case one has to allow some
Autor:
Konstanze Rietsch
Publikováno v:
King's College London
The totally nonnegative part of a partial flag variety G/P is known to have a decomposition into semi-algebraic cells. We show that the closure of a cell is again a union of cells and give a combinatorial description of the closure relations. The tot