3 papers
math.RT2026
Partial Resolutions and Noncrossing Combinatorics
Minh-Tâm Quang Trinh, Nathan Williams
For any finite reductive group, we compute the central elements in its Hecke algebra that arise from partial Springer resolutions via the Harish-Chandra transform. Of the two kinds…
math.AG2023
The Hilb-vs-Quot Conjecture
Oscar Kivinen, Minh-Tâm Quang Trinh
Let be the complete local ring of a complex plane curve germ and its normalization. We propose a "Hilb-vs-Quot" conjecture relating the virtual weight polynomials of the Hi…
math.CO2022
Rational Noncrossing Coxeter-Catalan Combinatorics
Pavel Galashin, Thomas Lam, Minh-Tâm Quang Trinh +1
We solve two open problems in Coxeter-Catalan combinatorics. First, we introduce a family of rational noncrossing objects for any finite Coxeter group, using the combinatorics of d…