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Algebra Seminar

Monday, April 2, 2018 - 3:15pm

Mihran Papikian

Penn State University

Location

University of Pennsylvania

DRL 4N30

We study a generalization of Drinfeld modules arising from central division algebras over function fields, which we call Drinfeld-Stuhler modules. We prove some basic results about Drinfeld-Stuhler modules and their endomorphism rings, and then examine the existence and properties of Drinfeld-Stuhler modules with large endomorphism algebras, which are analogous to CM and supersingular Drinfeld modules. Finally, we examine the fields of moduli of Drinfeld-Stuhler modules.