Lie Group/Quantum Mathematics Seminar
Organizers Lisa Carbone, Yi-Zhi
Lepowsky and Siddhartha Sahi.
Time Friday, 12:00 to 1:00 pm.
Place Hill 705.
Starting from Spring, 2008, the
Lie Group Seminar and Quantum Mathematics Seminar
have merged together to a single seminar called the
Lie Group/Quantum Mathematics
Seminar. This seminar also has a page
Lie Groups Quantum Mathematics Seminar,
maintained by email@example.com.
For the Lie Group/Quantum Mathematics seminar in previous
semesters, see this
For talks in the Quantum Mathematics Seminar from Spring, 1998 to
Fall, 2007, see
For a few years before 2008, the Quantum Mathematics Seminar
shared the time and place with the Algebra Seminar.
For talks in both the Algebra and
Quantum Mathematics Seminars in these few semesters, see the page
the Previous Rutgers Algebra Seminars. For all the seminars and colloquia in the department, see
the Seminars and Colloquia page.
- 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
- Time/place 4/3/2020, Friday, 12:00 in Hill 705 (canceled)