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Schedule, Notes/Handouts & Videos

Introductory Workshop: Arithmetic Statistics January 31, 2011 - February 04, 2011

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Jan 31, 2011
Monday
08:55 AM - 09:10 AM
  Welcome
09:10 AM - 10:10 AM
  Introduction to asymptotics of number fields, conjectures, computation, experiments
Henri Cohen
10:10 AM - 10:40 AM
  Tea
10:40 AM - 11:40 AM
  Selmer groups and ranks I
Karl Rubin (University of California, Irvine)
11:40 AM - 12:40 PM
  Asymptotics of number fields
Manjul Bhargava (Princeton University)
12:40 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Overview of NT and RMT
Michael Rubinstein (University of Waterloo)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  The ratios conjecture and applications
Nina Snaith (University of Bristol)
Feb 01, 2011
Tuesday
09:00 AM - 10:00 AM
  Selmer groups and ranks II
Karl Rubin (University of California, Irvine)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Asymptotics of number fields, II
Manjul Bhargava (Princeton University)
11:30 AM - 12:30 PM
  Counting Galois Sextic Fields by Varying Invariants
Melanie Wood (Harvard University; University of California, Berkeley)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Orthogonal Ensembles and Central Values of L-functions
Brian Conrey (AIM - American Institute of Mathematics)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Hyperelliptic curves, L-polynomials, and random matrices
Andrew Sutherland
05:00 PM - 06:00 PM
  Reception
Feb 02, 2011
Wednesday
08:30 AM - 09:30 AM
  Statistics of number and function fields I
Jordan Ellenberg (University of Wisconsin-Madison)
09:30 AM - 10:30 AM
  Asymptotics of elliptic curves I
Manjul Bhargava (Princeton University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Finding L-Functions out of Nothing
David Farmer (AIM - American Institute of Mathematics)
12:00 PM - 01:00 PM
  Computations with Hilbert modular forms
John Voight (Dartmouth College)
Feb 03, 2011
Thursday
09:00 AM - 10:00 AM
  Asymptotics of elliptic curves II
Manjul Bhargava (Princeton University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Bilinear Forms over Elliptic Curves with a Fixed Frobenius Field
Henryk Iwaniec
11:30 AM - 12:30 PM
  Statistics of number and function fields
Akshay Venkatesh (Institute for Advanced Study)
12:30 PM - 02:15 PM
  Lunch
02:15 PM - 03:15 PM
  Computing Elliptic Curves using Modular Symbols
John Cremona (University of Warwick)
03:15 PM - 03:45 PM
  Tea
04:10 PM - 05:00 PM
  \(x^2 + y^3 = z^7\)
Bjorn Poonen (Massachusetts Institute of Technology)
Feb 04, 2011
Friday
09:00 AM - 10:00 AM
  Towards an analogue over Q(sqrt(5)) of Cremona\'s Tables
William Stein (University of Washington)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Random Maximal Isotropic Subspaces and Selmer Groups
Bjorn Poonen (Massachusetts Institute of Technology)
11:30 AM - 12:30 PM
  Moments of L-functions
Kannan Soundararajan (Stanford University)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  The distribution of the zeros of L-functions in families over function fields
Chantal David (Concordia University)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Thorne: Lower terms in counting cubic fields
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