On the arithmetic of modular varieties of D-elliptic sheaves

Algebra Seminar
Monday, March 8, 2010 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 171
Mihran Papikian – Penn State
Matt Baker
We discuss some arithmetic properties of modular varieties of D-elliptic sheaves, such as the existence of rational points or the structure of their "fundamental domains" in the Bruhat-Tits building. The notion of D-elliptic sheaf is a generalization of the notion of Drinfeld module. D-elliptic sheaves and their moduli schemes were introduced by Laumon, Rapoport and Stuhler in their proof of certain cases of the Langlands conjecture over function fields.