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math.AG2016
Categorical geometric symmetric Howe duality
Sabin Cautis, Joel Kamnitzer
We provide a natural geometric setting for symmetric Howe duality. This is realized as a (loop) sl(n) action on derived categories of coherent sheaves on certain varieties arising…
math.AG2016★ 2 cited
Associated graded of Hodge modules and categorical sl_2 actions
Sabin Cautis, Christopher Dodd, Joel Kamnitzer
One of the most mysterious aspects of Saito's theory of Hodge modules are the Hodge and weight filtrations that accompany the pushforward of a Hodge module under an open embedding.…