Caltech Home > PMA Home > Master Calendar > Geometry and Topology Seminar
open search form
Friday, November 06, 2020
3:00 PM - 4:00 PM
Online Event

Geometry and Topology Seminar

3-manifold invariants, G-equivariant TQFT, and complexity
Eric Samperton, Department of Mathematics, University of Illinois at Urbana-Champaign,

Let G be a finite group. G-equivariant TQFTs have received attention from both mathematicians and physicists, motivated in part by the search for new topological phases that can be used as the hardware for a universal quantum computer. Our goal will be to convey two complexity-theoretic lessons. First, when G is sufficiently complicated (nonabelian simple), 3-manifold invariants derived from G-equivariant TQFTs are very difficult to compute (#P-hard), even on a quantum computer. Second, no matter what finite group G one uses, a 3-dimensional G-equivariant TQFT can not be used for universal topological quantum computation if the underlying non-equivariant theory is not already universal. This talk is based on joint works with Greg Kuperberg and Colleen Delaney.

For more information, please contact Math Department by phone at 626-395-4335 or by email at or visit