Mathematics Colloquia and Seminars
BPS cohomology and YangiansQMAP Seminar
|Speaker:||Ben Davison, Glasgow & Edinburgh|
|Start time:||Fri, Mar 9 2018, 11:00AM|
I will introduce a categorification of the theory of BPS invariants for a quiver with potential, or more generally, the category of coherent sheaves on a Calabi-Yau threefold. Via a perverse filtration on vanishing cycle cohomology, there is a Lie algebra whose graded dimension recovers the BPS invariants. This is joint work with Sven Meinhardt.
For a particular class of quivers with potential, this conjecturally recovers the Lie algebra inside the Yangian defined by Maulik and Okounkov, and produces a large new class of natural Borcherds algebras.