4 papers · 1 filter
Torsion primes for spaces of commuting elements in Lie groups
Simon Gritschacher, Chris Hone
Let be a complex reductive group and the identity component of the space of -tuples of commuting elements in . We prove that for every , the integral…
The geometry of tilting composition series via Richardson varieties
Joseph Baine, Chris Hone
We prove the (graded) Jordan--Hölder multiplicities of (mixed) tilting sheaves on flag varieties admit a geometric interpretation as the hypercohomology of certain sheaves on Richa…
Semisimplifying categorical Heisenberg actions and periodic equivalences
Chris Hone, Finn Klein, Bregje Pauwels +3
We systematically apply semisimplification functors in modular representation theory. Motivated by the Duflo--Serganova functor in Lie superalgebras, we construct various functors…
Geometric Extensions
Chris Hone, Geordie Williamson
We prove that the derived direct image of the constant sheaf with field coefficients under any proper map with smooth source contains a canonical summand. This summand, which we ca…