Paul MEZO

Carleton University, Ottawa - Canada
Visiting Scholar invited by research center AGM
Stays from May 9 to 27, 2022
Curriculum Vitae / Project

Research project

A-pakets from a sheaf theoretic perspective

A-packets are sets of representations with common number-theoretic features given through the Langlands Correspondence. They are traditionally defined using harmonic analysis, but an alternative definition, introduced in [1], using sheaf theory also exists. In [2] it is verified that the two definitions coincide for real classical groups. This places sheaf-theoretic methods on equal footing with analytic methods when considering properties of automorphic forms at archimedean places. Our research objectives aim to show that sheaf theory, or more generally algebraic-geometric techniques, offer us new perpectives and powerful tools to use in answering questions related to the Langlands program at archimedean places.