3 papers
math.AG2025
Period sheaves via perverse pullbacks
Adeel A. Khan, Tasuki Kinjo, Hyeonjun Park +1
We construct period sheaves for Hamiltonian spaces, as conjectured in the work of Ben-Zvi, Sakellaridis and Venkatesh, using the perverse pullback functors introduced in the author…
math.AG2025
Perverse pullbacks
Adeel A. Khan, Tasuki Kinjo, Hyeonjun Park +1
We define a new perverse t-exact pullback operation on derived categories of constructible sheaves which generalizes most perverse t-exact functors in sheaf theory, such as microlo…
math.AG2025
Elliptic loop spaces
Emile Bouaziz, Adeel A. Khan
We introduce an elliptic avatar of loop spaces in derived algebraic geometry, completing the familiar trichotomoy of rational, trigonometric and elliptic objects. Heuristically, th…