54 citations · 164 across the 29 of their papers we have counts for
8 papers · 1 filter
Log smoothness and polystability over valuation rings
Karim Adiprasito, Gaku Liu, Igor Pak +1
Let be a valuation ring of height one of residual characteristic exponent and with algebraically closed field of fractions. Our main result provides a best possib…
Asymptotics of principal evaluations of Schubert polynomials for layered permutations
Alejandro H. Morales, Igor Pak, Greta Panova
Denote by the largest principal specialization of the Schubert polynomial: Stanley conjectured in [arXiv:1704.00851]…
On the number of integer points in translated and expanded polyhedra
Danny Nguyen, Igor Pak
We prove that the problem of minimizing the number of integer points inparallel translations of a rational convex polytope in is NP-hard. We apply this result to sho…
Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings
Alejandro Morales, Igor Pak, Martin Tassy
We prove and generalize a conjecture in arXiv:1610.0474(4) about the asymptotics of , where is the number of standard Young tableaux of skew…
On the largest Kronecker and Littlewood--Richardson coefficients
Igor Pak, Greta Panova, Damir Yeliussizov
We give new bounds and asymptotic estimates for Kronecker and Littlewood--Richardson coefficients. Notably, we resolve Stanley's questions on the shape of partitions attaining the…
Bounds on the largest Kronecker and induced multiplicities of finite groups
Igor Pak, Greta Panova, Damir Yeliussizov
We give new bounds and asymptotic estimates on the largest Kronecker and induced multiplicities of finite groups. The results apply to large simple groups of Lie type and other gro…