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.

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Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Monday, November 9, 2015
TimeEventLocationMaterials
8:30 - 8:55am ESTRegistration121 S.Main Street, Providence, RI (11th Floor Collaborative Space) 
8:55 - 9:00am ESTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 10:00am ESTEquidistribution of Eisenstein series - Matthew Young, Texas A&M University11th Floor Lecture Hall
10:10 - 11:10am ESTThe Structure of L-functions - David Farmer, AIM11th Floor Lecture Hall
11:10 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:30pm ESTThe Mahler measure of elliptic curves - Matilde Lalin, Université de Montréal11th Floor Lecture Hall
12:30 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTOmega results for the average value of the Mobius function - Sandro Bettin, ICERM Semester Postdoc11th Floor Lecture Hall
2:15 - 2:30pm ESTOne-level density in one-parameter families of elliptic curves with non-zero average root number - Chantal David, Concordia University11th Floor Lecture Hall
2:30 - 2:45pm ESTL functions in Pari-GP - Pascal Molin, Université Paris Diderot11th Floor Lecture Hall
2:45 - 3:00pm ESTL-functions of degree 4 and weight 1 - Sally Koutsoliotas, Bucknell University11th Floor Lecture Hall
3:00 - 3:30pm ESTCoffee/Tea Break  
3:30 - 5:00pm ESTDiscussion/Work Time11th Floor 
5:00 - 6:30pm ESTWelcome Reception11th Floor Collabortive Space 
Tuesday, November 10, 2015
TimeEventLocationMaterials
9:30 - 10:30am ESTSimple zeros of degree 2 L-functions - Andrew Booker, University of Bristol11th Floor Lecture Hall
10:30 - 11:00am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00pm ESTVariance of sums of divisor functions in short intervals - Jon Keating, University of Bristol11th Floor Lecture Hall
12:00 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTLower bounds for explicit formulas - Tian An Wong, CUNY11th Floor Lecture Hall
2:15 - 2:30pm ESTIs it possible to compute values of a primitive L-function of degree 100? - Brian Conrey, AIM11th Floor Lecture Hall 
2:30 - 2:45pm ESTBiases 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 - 3:00pm ESTApproximate functional equation and representation theory - Andre Reznikov, Bar-Ilan University11th Floor Lecture Hall
3:00 - 3:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm ESTDiscussion/Work Time11th Floor 
Wednesday, November 11, 2015
TimeEventLocationMaterials
9:00 - 10:00am ESTVariance of divisor functions in arithmetic progressions. - Kannan Soundararajan, Stanford University11th Floor Lecture Hall
10:10 - 11:10am ESTSome challenges for computing automorphic forms and their L-functions. - Peter Sarnak, Princeton University11th Floor Lecture Hall 
11:10 - 11:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:30 - 12:30pm ESTComputing L-functions - Michael Rubinstein, University of Waterloo11th Floor Lecture Hall 
12:30 - 12:40pm ESTGroup Photo 11th Floor Lecture Hall 
12:40 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTOpen computational problems for Dirichlet character sums - Ghaith Hiary, Ohio State University11th Floor Lecture Hall
2:15 - 2:30pm ESTInvestigating the vertical distribution of zeros of L-functions - Caroline Turnage-Butterbaugh, Duke University11th Floor Lecture Hall
2:30 - 2:45pm ESTMore computations of the Riemann zeta function - Jonathan Bober, University of Bristol11th Floor Lecture Hall
2:45 - 3:00pm ESTFirst moments of L-functions - Maksym Radziwill, Rutgers University11th Floor Lecture Hall
3:15 - 5:00pm ESTPoster Session and Coffee Break11th Floor Collaborative Space 
Thursday, November 12, 2015
TimeEventLocationMaterials
9:30 - 10:30am ESTAutomorphic Forms on GL(n) - Valentin Blomer, Universität Göttingen11th Floor Lecture Hall
10:30 - 11:00am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00pm ESTUsing 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 - 2:00pm ESTBreak for Lunch/Free Time  
2:00 - 2:15pm ESTUpdate on curves of genus 3 with many rational points - Noam Elkies, Harvard University11th Floor Lecture Hall
2:15 - 2:30pm ESTGL_3 Maass forms and the Kuznetsov trace formula - Min Lee, University of Bristol11th Floor Lecture Hall
2:30 - 2:45pm ESTAnalytic Questions Concerning Shintani Zeta Functions - Frank Thorne, University of South Carolina11th Floor Lecture Hall
2:45 - 3:00pm ESTAdditive Divisor Sums- bounds and conjectures. - Nathan Ng, University of Lethbridge11th Floor Lecture Hall
3:00 - 3:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm ESTDiscussion/Work Time  
6:00 - 7:30pm ESTFrom 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 - 10:30am ESTComputing central values of twisted L-functions of higher degree - Nathan Ryan, Bucknell University11th Floor Lecture Hall
10:30 - 11:00am ESTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:00pm ESTNon-vanishing of automorphic $L$-functions of prime power level - Olga Balkanova, ICERM Semester Postdoc11th Floor Lecture Hall
12:00 - 2:00pm ESTBreak for Lunch / Free Time  
2:00 - 5:00pm ESTDiscussion / Work Time  
3:30 - 4:00pm ESTCoffee/Tea Break  

Associated Semester Workshops

Computational Aspects of the Langlands Program
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