Arkamouli Debnath, University of Washington
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PDL C-401
Taking quotients in algebraic geometry is difficult, mainly because you don't just want a topological quotient but also a variety/scheme structure on it. Geometric Invariant Theory (GIT) gives one possible way to form quotients. On the other hand, derived categories are homological tools that one associates to algebro-geometric objects (such as schemes or stacks) in a similar way as one associates various algebraic invariants (such as the homotopy groups, singular cohomology, etc) to topological spaces. In my writing milestone I have explored derived categories that show up in the context of geometric invariant theory, which will be the content of my talk.