Algebra Seminar: Langlands duality for cuspidal local systems

Event details Date: Monday, November 2, 2026 Time: 3:30 PM to 4:30 PM Location: Kaprielian Hall (KAP) - 265 - 3620 South Vermont Avenue, Los Angeles, CA 90089 Type: Lecture / Talk / Workshop Campus: University Park Campus Department: Mathematics About this event Sam Gunningham, Montana State University Title: Langlands duality for cuspidal local systems Abstract: Cuspidal local systems on nilpotent orbits were defined and classified by Lusztig in his remarkable 1984 paper. Lusztig’s type-by-type classification appears again in the category of generically twisted D-modules on the moduli stack of G-bundles on an elliptic curve - a natural object of study in the geometric Langlands program. Langlands duality then predicts a surprising symmetry in Lusztig’s classification, which boils down to some interesting numerical identities in certain cases. This talk will be a report on ongoing work in progress with Dragos Fratila and Penghui Li. Official event details: https://calendar.usc.edu/event/algebra-seminar-langlands-duality-for-cuspidal-local-systems