4th Midwest Algebraic 

Number Theory Day



University of Illinois,
Urbana-Champaign,
Saturday, March 29



The fourth Midwest Algebraic Number Theory Day will be held
on Saturday, March 29, from 1 pm to 6 pm at the University 
of Illinois at Urbana-Champaign. The key speakers will be 
Richard Taylor of Harvard University and Chris Skinner of
Princeton University. 


1:00-1:50 Richard Taylor (Harvard), Modular forms and 
Galois representations
1:55-2:15 Yihsiang Liow (UIUC), Global Galois
representations with prescribed local conditions

2:15-2:45 Refreshments

2:45-3:05 Darrin Doud (UIUC), S4 extensions ramified at one
prime
3:10-3:50 Yuri Tschinkel (UIC), Rational points and Tamagawa
numbers of algebraic varieties
3:55-4:15 Romyar Sharifi (U of Chicago), Ramification groups
of nonabelian Kummer extensions

4:15-4:45 Refreshments

4:45-5:05 Boris Iskra (UIUC), Noncongruent numbers with
arbitrarily many prime factors congruent to 3 (mod 8)
5:10-6:00 Chris Skinner (Princeton), Deformations of
reducible representations


It is hoped that people will car-pool to enable groups to
drive up and back again within the day. There will be a
dinner afterwards, for which people can sign up at the
meeting. If anyone wishes to stay overnight, then 
arrangements can be made. Further details on places to stay,
directions to the meeting, and a speaker roster (when
available) will appear on this web page.

If you intend to attend the seminar, for further information 
please contact me at:


Nigel Boston 
Department of Mathematics
University of Illinois
Urbana, IL 61801 

tel: 217-333-2677

e-mail: boston@math.uiuc.edu

web: http://www.math.uiuc.edu/~boston/ 


The meeting will be held in 314 Altgeld Hall. From I-74,
take the Lincoln Avenue exit. Go south for a 1.7 miles, 
until you reach Green Street. Go west on Green St. for 0.7
miles to 5th Street. Go south one block and then east on 
John. There is a free parking garage on your right at the end
of the block. Altgeld Hall is the historic building with a
bell tower at the end of John St., one block to the east. It's
easiest to enter the building by its north face, going past
the Alma Mater statue, then up to the top of the stairs to
find Room 314 and the refreshment lounge. There will be signs!