Department of Mathematics

Seminar in Cluster algebras

  •  Extended Somos and Gale-Robinson sequences, dual numbers, and cluster superalgebras
  •  04/18/2017
  •  2:00 PM - 2:50 PM
  •  C304 Wells Hall
  •  Valentin Ovsienko, Reims

In 1980, Michael Somos invented integer sequences that have later been popularized and generalized (among others) by David Gale. A certain mystery around this class of sequences is probably due to their relation with a wealth of different topics, such as: elliptic curves, continued fractions, and more recently with cluster algebras and integrable systems. I will describe a way to extend Somos-4 and Somos-5 and more general Gale-Robinson sequences, and construct a great number of new integer sequences that also look quite mysterious. The construction is based on the notion of 'cluster superalgebra' (which can be used as a machine to produce integer sequences). Most of the talk will be accessible to non-experts in any of the above mentioned subjects.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science