Seminar series
Date
Thu, 02 May 2019
16:00
16:00
Location
C4
Speaker
Daniel Kaplan
Organisation
(Imperial College, London)
Multiplicative preprojective algebras (MPAs) were originally defined by Crawley-Boevey and Shaw to encode solutions of the Deligne-Simpson problem as irreducible representations.
MPAs have recently appeared in the literature from different perspectives including Fukaya categories of plumbed cotangent bundles (Etgü and Lekili) and, similarly, microlocal sheaves
on rational curves (Bezrukavnikov and Kapronov.) After some motivation, I'll suggest a purely algebraic approach to study these algebras. Namely, I'll outline a proof that MPAs are
2-Calabi-Yau if Q contains a cycle and an inductive argument to reduce to the case of the cycle itself.