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Title:
Derived equivalence and homological projective duality in GLSM
Speaker:
Abstract:
Brane transport provides an effectual way to realize functors between the categories of B-branes of different phases in GLSM. When carefully designed, these functors induce derived equivalence between Calabi-Yau manifolds. In some cases, brane transport can also be used to extract the homological projective dual of certain projective embeddings. In this talk, I will describe the GLSMs realizing derived equivalence between different geometries via brane transport, and how to construct the GLSMs where brane transport gives rise to the embedding of homological projective dual category into the derived category of universal hyperplane section. I will also talk about how to use this construction to translate the hybrid model description of the homological projective dual into a geometric description in terms of the derived categories of noncommutative resolutions.
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