When is a variety a quotient of a smooth variety by a finite group?

10/28/2011 - 1:30pm
10/28/2011 - 2:30pm
Marta Asaeda, UC Riverside

 A subfactor is a pair of von Neumann algebra with inclusion N ⊂ M. The study of classification of subfactors was initiated by V. Jones and has been developed in the past few decades, involving various areas of mathematics, such as low-dimensional topology, conformal field theory. In the recent years, intermediate subfactors N ⊂ P ⊂ M has been studied.

A quadrilateral of factors is a pair of intermediate subfactors N ⊂ P ⊂ M, N ⊂Q⊂M suchthatP∨Q=M,P∧Q=N. Weshowthatthereisaquadrilateral
of factors with some conditions, so that P ⊂ M is a subfactor with index (5+ √17)/2,
and N ⊂ P is a subfactor with index (7 + √ 17)/2. This work is joint with Pinhas Grossman.

Millikan 134
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