Speaker
Gufang Zhao
(University of Melbourne)
Description
In this talk, I will define a pullback map from the Grothendieck group of coherent matrix factorizations to that of coherent sheaves on a (-1)-shifted Lagrangian inside the critical locus of a function. This map satisfies natural functoriality under composition of Lagrangian correspondences, along with expected properties such as bivariance and base change. I will explain how this construction arises naturally in the study of quantum K-theory for critical loci, with examples drawn from moduli spaces associated to quivers with potentials. This is based on joint work with Y. Cao and Y. Toda.
