Scientists / Open questions
安德烈·奥昆科夫
Andrei Okounkov
表示论、代数几何、概率论
2006 年菲尔兹奖
8 个问题
Exact Masur–Veech volumes of strata of quadratic differentials: the general intersection-theoretic formula
Extending the quantum-foam gauge-theory construction of topological strings to compact Calabi-Yau threefolds and the full Donaldson-Thomas dictionary
Chow-level Gromov-Witten/Donaldson-Thomas correspondence and the descendent correspondence for nonsingular projective 3-folds beyond the toric case
Field-theoretic interpretation of the Bloch-Okounkov determinantal theta formulas and the conceptual origin of the shift u = -1/2 in the infinite wedge character
The Virasoro conjecture for Gromov-Witten descendent potentials of arbitrary smooth projective varieties
Asymptotics of Schur and uniform measures on partitions for general specializations: universality classes, integrable kernels, and error terms
Nonsymmetric perfect grids: extending Okounkov's characterization of interpolation Macdonald polynomials by extra vanishing
Equivalence of ensembles for random plane partitions: passing from the measure to the uniform measure at fixed volume