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Workshop

Arithmetic Statistics April 11, 2011 - April 15, 2011
Registration Deadline: April 11, 2011 over 13 years ago
To apply for Funding you must register by: January 11, 2011 almost 14 years ago
Parent Program:
Organizers Brian Conrey (American Institute of Mathematics), Barry Mazur (Harvard University), and Michael Rubinstein* (University of Waterloo)
Speaker(s)

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Description
Our workshop will highlight some work relevant to or carried out during our program at the MSRI, including statistical results about ranks for elliptic curves, zeros of L-functions, curves over finite fields, as well as algorithms for L-functions, point counting, and automorphic forms. Accommodation A block of rooms has been reserved at the Hotel Durant. Please mention MSRI and the workshop name when making reservations via phone, fax or e-mail. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "1104MSRIAR" promo code in the box. The cut-off date for reservations is March 4, 2011. The rate is $110 per night plus tax. A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The cut-off date for reservations is February 21, 2011. New, completely renovated Hotel Shattuck Plaza has rooms available for you! MSRI’s preferred rate is $131. Guests can either call the hotel’s main line, 510-845-7300, and ask for the MSRI rate or go to http://www.hotelshattuckplaza.com, click on "Corporate Rates" in the reservation screen and type the code msri10.        
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Apr 11, 2011
Monday
09:25 AM - 09:40 AM
  Welcome
09:40 AM - 10:30 AM
  The Riemann Hypothesis is more likely to be true than not!
Henryk Iwaniec
10:30 AM - 11:10 AM
  Tea
11:10 AM - 12:00 PM
  Point count statistics for families of curves over finite fields
Par Kurlberg
12:00 PM - 02:10 PM
  Lunch
02:10 PM - 03:00 PM
  A positive proportion of plane cubics fail the Hasse principle
Manjul Bhargava (Princeton University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:20 PM
  Images of Galois representations associated to elliptic curves
Nathan Jones
04:20 PM - 06:00 PM
  Reception
Apr 12, 2011
Tuesday
09:40 AM - 10:30 AM
  Almost all reductions of a generic Drinfeld module have a large exponent
Alina Cojocaru
10:30 AM - 11:10 AM
  Tea
11:10 AM - 12:00 PM
  Large values of the zeta function and disordered landscapes
Jon Keating (University of Oxford)
12:00 PM - 02:10 PM
  Lunch
02:10 PM - 03:00 PM
  Paramodular forms and Böcherer's Conjecture
Gonzalo Tornaría
03:00 PM - 03:30 PM
  Tea
Apr 13, 2011
Wednesday
09:40 AM - 10:30 AM
  Disparity in the statistics for quadratic twist families of elliptic curves
Barry Mazur (Harvard University)
10:30 AM - 11:10 AM
  Tea
11:10 AM - 12:00 PM
  Fast methods to compute the Riemann zeta function
Ghaith Hiary (Ohio State University)
Apr 14, 2011
Thursday
09:40 AM - 10:30 AM
  Towards an arithmetic theory of Jacobi forms over number fields
Nils-Peter Skoruppa
10:30 AM - 11:10 AM
  Tea
11:10 AM - 12:00 PM
  Elliptic curves with a 7-isogeny, and a recalcitrant genus 12 curve
Alice Silverberg (University of California, Irvine)
12:00 PM - 02:10 PM
  Lunch
02:10 PM - 03:00 PM
  Powers as values of polynomials
David (Roger) Heath-Brown (University of Oxford)
03:00 PM - 03:30 PM
  Tea
Apr 15, 2011
Friday
09:40 AM - 10:30 AM
  Bounding Average Ranks of Elliptic Curves in Families
Wei Ho (Institute for Advanced Study)
10:30 AM - 11:10 AM
  Tea
11:10 AM - 12:00 PM
  Maass forms and class groups
Andrew Booker
12:00 PM - 02:10 PM
  Lunch
02:10 PM - 03:00 PM
  Computing Zeta Functions of Curves with Automorphisms
Kiran Kedlaya (University of California, San Diego)
03:00 PM - 03:30 PM
  Tea