Colloquium: Ivan Horozov, Non-commutative Hilbert modular symbols
Event Type:
Colloquium
Speaker:
Ivan Horozov
Event Date:
Thursday, February 5, 2015 -
3:30pm to 4:30pm
Location:
SMLC 356
Audience:
General PublicFaculty/StaffStudentsAlumni/Friends
Event Description:
Abstract: Modular forms are functions with good transformation properties
with respect to the group $SL_2(\Z)$. Modular symbols were introduced by
Birch and Manin to study elliptic curves. A Hilbert modular modular form
is a function with good transformation properties with respect to the
group $SL_2(\Z[\sqrt{d}])$, where $d$ is a (square-free) positive integer.
In this talk will present a geometric construction of a Hilbert modular
symbol.