Algebra
and Number Theory Seminar
Fall
2006 Schedule
Wednesdays
3-4pm, MATH 1311
|
Date
|
Speaker
|
Title
|
|
6 Sept
|
Tom
Haines
|
Introduction to Shimura
Varieties I
|
|
13 Sept
|
Tom
Haines
|
Introduction to Shimura
Varieties II
|
|
20 Sept
|
Sreekar Shastry
(TIFR)
|
The Drinfeld
Modular Jacobian $J_1(n)$ has connected
fibers
|
|
27 Sept
|
Larry
Washington
|
|
|
4 Oct
|
No
meeting
|
|
|
11 Oct
|
Mircea Mustata
|
|
|
18 Oct
|
No
meeting
|
|
|
25 Oct
|
No
meeting
|
|
|
1 Nov
|
Brian
Conrad (UMich/Columbia)
|
|
|
8 Nov
|
Jaya
Iyer (IMSc/IAS)
|
|
|
15 Nov
|
Paul
Gunnells(UMass)
|
|
|
22 Nov
|
Thanksgiving
Holiday
|
|
|
29 Nov
|
Dipendra Prasad (TIFR/IAS)
|
|
|
6 Dec
|
|
|
Organizers: Niranjan Ramachandran, Larry Washington
(Math Dept of UMCP)
Abstracts:
Sreekar Sastry:
The main result is that the Jacobian of
the Drinfeld modular curve
$X_1(n)$ associated to the prime $n\in
\bb{F}_q[T]$ and the congruence
subgroup $\Gamma_1(n)$ of
$GL(2)$) has
connected reduction modulo the
place $n$. This
determines one of the bad Tamagawa factors
in the
$L$-function of
the Jacobian. The
proof rests on constructing a
function field analogue of
the Igusa curves which describe the bad
reduction of elliptic
modular curves, as well
as on the resolution of
cyclic quotient
singularities on arithmetic
surfaces.
Directions
to campus:
By car from I-95:
From I-95, take 495 East
(directions
to Route 1= Baltimore Avenue)
and head south on
Route 1 towards College Park. Stay on the right
lane. Soon after Berwyn Road,
there will be a new right turn lane which
brings you to the entrance of
campus. An immediate right and a STOP sign
or two brings you to a paid
parking
lot.
The mathematics
department is straight from the entrance, on the
right, just
before the big M
circle. It is a building with a fountain and a bus stop in
front
and (mysteriously) it
is marked Glenn Martin
Institute of Technology.
By train:
New Carrolton Station is the
closest
station. A taxi ride or a short bus
ride (F-6) will get
you to campus. From Washington, DC Union Station,
take the DC Metro Red line (in the direction of
Glenmont) to Fort Totten
and change to the Green line (direction of
Greenbelt) and get off at the
College Park Metro Station. Take
a (free!) University Shuttle bus and get off
at the first stop after entering
the campus. The building behind the bus stop
is the mathematics
department.
For more detailed directions as well
as a campus map, click here
and scroll down
