Title: towards the (unramified) Ramanujan-Peterson conjecture for function fields.


Abstract: I'll show how to use the (known part of the) geometric Langlands 
conjecture for l-adic sheaves in order to deduce the statement of the Ramanujan-Peterson 
conjecture by analyzing the stack of arithmetic local systems. This relies on
a yet un-proved (but very plausible conjecture) by Raskin on matrix factorization
categories. This is a joint work with S. Raskin and V. Lafforgue.


Livestream/Recording Link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=b76cd7a4-c7e0-4aec-b968-b2d500a0fb71