Yuji Okitani

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20212026

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3 papers · 1 filter

math.RT2026

GIT for root stacks and 3d mirror symmetry

Swapnil Garg, Ruoxi Li, Yuji Okitani

Using window theory, Bodzenta--Donovan showed that the derived category of a root stack $n X / D$ has a $2 n$ -periodic $2$ -term semiorthogonal decomposition. We define a categ…

math.RT2026

The Large Affine Hecke Category is Calabi-Yau

Yuji Okitani

We show that the large affine Hecke category defines an oriented, fully extended topological field theory. More generally, we establish conditions under which ind-coherent convolut…

math.RT2021

On plethysms and Sylow branching coefficients

Stacey Law, Yuji Okitani

We prove a recursive formula for plethysm coefficients of the form $a_{λ, (m)}^{μ}$ , generalising results on plethysms due to Bruns--Conca--Varbaro and de Boeck--Paget--Wildon. From t…