4 papers
Microlocal perverse schobers and Radon transform
Yuji Okitani
Perverse schobers are a categorification of perverse sheaves, originally proposed by Kapranov and Schechtman. The purpose of this paper is to initiate a microlocal study of pervers…
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 has a -periodic -term semiorthogonal decomposition. We define a categ…
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…
Some stable plethysms
Stacey Law, Yuji Okitani
In this note, we prove some new stability results for plethysm coefficients. As special cases, we verify a conjecture of Wildon, and show the stability of sequences recently predic…