Spring, 2019

Spring, 2020

  • Speaker Yi-Zhi Huang, Rutgers University
    • Title Twisted affine Lie algebras and twisted modules
    • Time/place 2/28/2020, Friday, 12:00 in Hill 705
    • Abstract I will introduce a twisted affine Lie algebra associated to a semisimple finite-diemnsional Lie algebra g and an automorphism of g. In the case that the automorphism acts on g nonsemisimply, the commutator formula for the twisted affine Lie algebra has an additional term in the center involving the unipotent part of the automorphism. I will then discuss results on the relation between twisted modules for the corresponding vertex operator algebras and suitable modules for the twisted affine Lie algebra. These results reduce the study of twisted modules for these vertex operator algebras to the study of suitable modules for the twisted affine Lie algebra. The proofs of these results use the universal lower-bounded twisted modules constructed by me last year.

  • Speaker Lisa Carbone, Rutgers University
    • Title Associating groups to infinite dimensional Lie algebras
    • Time/place 3/13/2020, Friday, 12:00 in Hill 705 (canceled)
    • Abstract We consider the question of associating the analogs of Lie groups to infinite dimensional Lie algebras of Kac-Moody and Borcherds type. We discuss the obstructions in infinite dimensions and some methods for addressing them.

  • Speaker Thomas Gemünden, ETH Zurich
    • Title
    • Time/place 4/3/2020, Friday, 12:00 in Hill 705 (canceled)
    • Abstract