How to glue parity sheaves

Pramod N. Achar

Journal of Singularities
volume 20 (2020), 128-164

Received: 17 July 2019. Received in revised form: 30 April 2020.

DOI: 10.5427/jsing.2020.20g

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Abstract:

Let X be a stratified space on which the Juteau-Mautner-Williamson theory of parity sheaves is available. We develop a "nearby cycles formalism" in the framework of the homotopy category of parity sheaves on X, also known as the mixed modular derived category of X. This construction is expected to have applications in modular geometric representation theory.


Author(s) information:

Pramod N. Achar
Department of Mathematics
Louisiana State University
Baton Rouge, LA 70803
email: pramod@math.lsu.edu