On the arithmetic of modular varieties of D-elliptic sheaves

Series: 
Algebra Seminar
Monday, March 8, 2010 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 171
,  
Penn State
Organizer: 
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.