Boundary algebras arising from uniform Postnikov diagams on surfaces

Add to your list(s) Download to your calendar using vCal

• Colin Krawchuk
• Wednesday 01 December 2021, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Stacey Law.

A Postnikov diagram is an embedding of oriented curves, called strands, in a disk. These diagrams are known to describe the cluster algebra structure of open positroid varieties, with diagrams of uniform type corresponding to a cluster of minors in the Grassmannian Gr(k,n). Each Postnikov diagram can be associated with a dimer algebra, which is the Jacobian algebra of a quiver with potential. Baur-King-Marsh showed that the opposite of the boundary algebra corresponding to such a dimer algebra is isomorphic to a quotient of the preprojective algebra used by Jensen-King-Su to categorify the cluster structure of Gr(k,n). They also determined the boundary algebra for degree two weak Postnikov diagrams arising from general surfaces. This talk will discuss a combinatorial approach to calculating the boundary algebra associated to a uniform Postnikov diagram, and how this can be translated to Postnikov diagrams on other surfaces.

This talk is part of the Algebra and Representation Theory Seminar series.

This talk is included in these lists:

• Algebra and Representation Theory Seminar
• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR12
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.