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Algebra and Geometry Seminar

Monday, January 9, 2023
4:00pm to 5:00pm
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Linde Hall 387
Coherent matrix factorizations and superconnections
Zhaoting Wei, Department of Mathematics, Texas A&M-Commerce,

Matrix factorization plays an important role in mathematics and it is interesting to consider matrix factorizations with coherent components over non-affine spaces. On difficulty is that it is quite complicated to describe quasi-isomorphisms between them. On the other hand, people showed that the category of flat anti-holomorphic superconnections is equivalent to the bounded derived category of coherent sheaves on complex manifolds, which assures us that superconnection is a useful tool in the study of coherent sheaves. In this talk I will describe an attempt to use (non-flat) anti-holomorphic superconnections to give resolutions of coherent matrix factorizations and some possible applications along this line.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].