Organizing Committee
Abstract

This conference will revolve around several themes: the computational complexity of L-functions; statistical problems concerning L-functions, such as the distribution of their values, and zeros, moments of L-functions, statistics and size of ranks in families of elliptic curves; practical implementations of algorithms and their applications to testing various conjectures about L-functions; rigorous and certifiable computations of L-functions. One goal is to stimulate dialogue between theoreticians and computationally minded researchers regarding problems to which computation might provide insight or important confirmation of conjectures. In the other direction, we hope that discussions will lead to new ideas concerning algorithms for L-functions.

Confirmed Speakers & Participants

Workshop Schedule

Monday, November 9, 2015
TimeEventLocationMaterials
8:30 - 8:55Registration121 S.Main Street, Providence, RI (11th Floor Collaborative Space) 
8:55 - 9:00Welcome - ICERM Director11th Floor Lecture Hall 
9:00 - 10:00Equidistribution of Eisenstein series - Matthew Young, Texas A&M University11th Floor Lecture Hall
10:10 - 11:10The Structure of L-functions - David Farmer, AIM11th Floor Lecture Hall
11:10 - 11:30Coffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:30The Mahler measure of elliptic curves - Matilde Lalin, Université de Montréal11th Floor Lecture Hall
12:30 - 2:00Break for Lunch/Free Time  
2:00 - 2:15Omega results for the average value of the Mobius function - Sandro Bettin, ICERM Semester Postdoc11th Floor Lecture Hall
2:15 - 2:30One-level density in one-parameter families of elliptic curves with non-zero average root number - Chantal David, Concordia University11th Floor Lecture Hall
2:30 - 2:45L functions in Pari-GP - Pascal Molin, Université Paris Diderot11th Floor Lecture Hall
2:45 - 3:00L-functions of degree 4 and weight 1 - Sally Koutsoliotas, Bucknell University11th Floor Lecture Hall
3:00 - 3:30Coffee/Tea Break  
3:30 - 5:00Discussion/Work Time11th Floor 
5:00 - 6:30Welcome Reception11th Floor Collabortive Space 
Tuesday, November 10, 2015
TimeEventLocationMaterials
9:30 - 10:30Simple zeros of degree 2 L-functions - Andrew Booker, University of Bristol11th Floor Lecture Hall
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00Variance of sums of divisor functions in short intervals - Jon Keating, University of Bristol11th Floor Lecture Hall
12:00 - 2:00Break for Lunch/Free Time  
2:00 - 2:15Lower bounds for explicit formulas - Tian An Wong, CUNY11th Floor Lecture Hall
2:15 - 2:30Is it possible to compute values of a primitive L-function of degree 100? - Brian Conrey, AIM11th Floor Lecture Hall 
2:30 - 2:45Biases in Moments of Satake Parameters and in Zeros near the Central Point in Families of L-Functions - Steven Miller, Williams College11th Floor Lecture Hall
2:45 - 3:00Approximate functional equation and representation theory - Andre Reznikov, Bar-Ilan University11th Floor Lecture Hall
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Discussion/Work Time11th Floor 
Wednesday, November 11, 2015
TimeEventLocationMaterials
9:00 - 10:00Variance of divisor functions in arithmetic progressions. - Kannan Soundararajan, Stanford University11th Floor Lecture Hall
10:10 - 11:10Some challenges for computing automorphic forms and their L-functions. - Peter Sarnak, Princeton University11th Floor Lecture Hall 
11:10 - 11:30Coffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:30Computing L-functions - Michael Rubinstein, University of Waterloo11th Floor Lecture Hall 
12:30 - 12:40Group Photo 11th Floor Lecture Hall 
12:40 - 2:00Break for Lunch/Free Time  
2:00 - 2:15Open computational problems for Dirichlet character sums - Ghaith Hiary, Ohio State University11th Floor Lecture Hall
2:15 - 2:30Investigating the vertical distribution of zeros of L-functions - Caroline Turnage-Butterbaugh, Duke University11th Floor Lecture Hall
2:30 - 2:45More computations of the Riemann zeta function - Jonathan Bober, University of Bristol11th Floor Lecture Hall
2:45 - 3:00First moments of L-functions - Maksym Radziwill, Rutgers University11th Floor Lecture Hall
3:15 - 5:00Poster Session and Coffee Break11th Floor Collaborative Space 
Thursday, November 12, 2015
TimeEventLocationMaterials
9:30 - 10:30Automorphic Forms on GL(n) - Valentin Blomer, Universität Göttingen11th Floor Lecture Hall
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00Using Katsurada's determination of the Eisenstein series to compute Siegel eigenforms in degree three. - Cris Poor, Fordham University and David Yuen, Lake Forest College11th Floor Lecture Hall
12:00 - 2:00Break for Lunch/Free Time  
2:00 - 2:15Update on curves of genus 3 with many rational points - Noam Elkies, Harvard University11th Floor Lecture Hall
2:15 - 2:30GL_3 Maass forms and the Kuznetsov trace formula - Min Lee, University of Bristol11th Floor Lecture Hall
2:30 - 2:45Analytic Questions Concerning Shintani Zeta Functions - Frank Thorne, University of South Carolina11th Floor Lecture Hall
2:45 - 3:00Additive Divisor Sums- bounds and conjectures. - Nathan Ng, University of Lethbridge11th Floor Lecture Hall
3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00Discussion/Work Time  
6:00 - 7:30From Flapping Birds to Space Telescopes: The Mathematics of Origami - Robert J. LangSalomon Center for Teaching, Providence, RI 02912, United States 
Friday, November 13, 2015
TimeEventLocationMaterials
9:30 - 10:30Computing central values of twisted L-functions of higher degree - Nathan Ryan, Bucknell University11th Floor Lecture Hall
10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00Non-vanishing of automorphic $L$-functions of prime power level - Olga Balkanova, ICERM Semester Postdoc11th Floor Lecture Hall
12:00 - 2:00Break for Lunch / Free Time  
2:00 - 5:00Discussion / Work Time  
3:30 - 4:00Coffee/Tea Break  

Associated Semester Workshops

Computational Aspects of the Langlands Program