Date: Friday 4 February 2011, 4:30pm
Location: Hempfield High School, Room 213
 Speaker: Ron Umble, Millersville University
   Title: Tensor products of A-infinty algebras with homotopy
   inner products (Joint work with Thomas Tradler)

Abstract.  The combinatorial structure of an A-infinity algebra
with homotopy inner products is controlled by a family of contractible
polytopes called pairahedra.  In this talk we construct an explicit
combinatorial diagonal on the pairahedra and use it to define a tensor
product of A-infinity algebras with homotopy inner products.  Homotopy
inner products appear in actions on moduli spaces and symplectic
structures on formal non-commutative supermanifolds.