3 papers
math.AG2025
The Dolbeault geometric Langlands conjecture via limit categories
Tudor Pădurariu, Yukinobu Toda
We introduce limit categories for cotangent stacks of smooth stacks as an effective version of classical limits of categories of D-modules on them. We develop their general theory…
math.AG2024
Topological K-theory of quasi-BPS categories for Higgs bundles
Tudor Pădurariu, Yukinobu Toda
In a previous paper, we introduced quasi-BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the…
math.RT2021
Categorical and K-theoretic Hall algebras for quivers with potential
Tudor Pădurariu
Given a quiver with potential , Kontsevich-Soibelman constructed a Hall algebra on the critical cohomology of the stack of representations of . Special cases of this…