Seminar:
Geometry, Symmetry and Physics
Event time:
Monday, March 3, 2025 - 4:30pm
Location:
KT 801
Speaker:
Griffin Wang
Speaker affiliation:
Institute for Advanced Study
Event description:
In the quantum theory of angular momentum, the Racah–Wigner coefficient, often known as the 6j symbol, is a numerical invariant assigned to a tetrahedron with half-integer edge-lengths. The 6 edge-lengths may be viewed as representations of SU(2) satisfying certain multiplicity-one conditions. One important property of the 6j symbol is its hidden symmetry outside the tetrahedral ones, originally discovered by Regge.
In this talk, we explore a generalized construction, dubbed the tetrahedral symbol, in the context of rank-1 semisimple groups over local fields, and explain how the extra symmetries may be explained by relative Langlands duality. Joint work with Akshay Venkatesh.
Research Area(s):
Representation Theory