Description
This volume consists of two parts. The first part introduces the notion of ind-scheme and extends the theory of ind-coherent sheaves to inf-schemes, obtaining the theory of D-modules as an application. The second part establishes the equivalence between formal Lie group(oids) and Lie algebr(oids) in the category of ind-coherent sheaves. This equivalence gives a vast generalization of the equivalence between Lie algebras and formal moduli problems. This theory is applied to study natural filtrations in formal derived geometry generalizing the Hodge filtration.
About the Author
Dennis Gaitsgory, Harvard University, Cambridge, MA.
Nick Rozenblyum, University of Chicago, IL.
Book Information
ISBN 9781470452858
Author Dennis Gaitsgory
Format Paperback
Page Count 436
Imprint American Mathematical Society
Publisher American Mathematical Society
Weight(grams) 333g