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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On super Plucker embedding and cluster algebras

## On super Plucker embedding and cluster algebrasAdd to your list(s) Download to your calendar using vCal - Ekaterina Shemyakova (University of Toledo)
- Friday 19 November 2021, 16:00-17:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. CAR - Cluster algebras and representation theory There has been active work towards the definition of super cluster algebras(Ovsienko, Ovsienko-Shapiro, and Li-Mixco-Ransingh-Srivastava), but the notion isstill a mystery. As it is known, the classical Plucker map of a Grassmann manifold intoprojective space provides one of the model examples for cluster algebras.In the talk, we present our construction of “super Plucker embedding” for Grassmannian of r|s-planes in n|m-space. There are two cases. The first one is of completely even planes in a super space, i.e. the Grassmannian G_{r|0}(n|m). It admits a straightforward algebraic construction similar to the classical case. In the second, general case of r|s-planes, a more complicated construction is needed. Our super Plucker map takes the Grassmann supermanifold G_{r|s}(V) to a “weighted projective space” P_{1,-1}(\Lambda This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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