Computational Aspects of L-functions
(November 9-13, 2015)

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Description

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.

Organizing Committee

= speaker   = poster presenter

Monday November 9, 2015
Time Description Speaker Location Abstracts Slides
8:30 - 8:55Registration121 S.Main Street, Providence, RI (11th Floor Collaborative Space)
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 10:00Equidistribution of Eisenstein seriesMatthew Young, Texas A&M University11th Floor Lecture Hall
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10:10 - 11:10The Structure of L-functionsDavid Farmer, AIM11th Floor Lecture Hall
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11:10 - 11:30Coffee/Tea Break11th Floor Collaborative Space
11:30 - 12:30The Mahler measure of elliptic curvesMatilde Lalin, Université de Montréal11th Floor Lecture Hall
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12:30 - 2:00Break for Lunch/Free Time
2:00 - 2:15Omega results for the average value of the Mobius functionSandro Bettin, ICERM Semester Postdoc11th Floor Lecture Hall
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2:15 - 2:30One-level density in one-parameter families of elliptic curves with non-zero average root numberChantal David, Concordia University11th Floor Lecture Hall
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2:30 - 2:45L functions in Pari-GPPascal Molin, Université Paris Diderot11th Floor Lecture Hall
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2:45 - 3:00L-functions of degree 4 and weight 1Sally Koutsoliotas, Bucknell University11th Floor Lecture Hall
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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
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Simple zeros of degree 2 L-functionsAndrew Booker, University of Bristol11th Floor Lecture Hall
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10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 12:00Variance of sums of divisor functions in short intervalsJon Keating, University of Bristol11th Floor Lecture Hall
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12:00 - 2:00Break for Lunch/Free Time
2:00 - 2:15Lower bounds for explicit formulasTian An Wong, CUNY11th Floor Lecture Hall
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2:15 - 2:30Is it possible to compute values of a primitive L-function of degree 100?Brian Conrey, AIM11th Floor Lecture Hall
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2:30 - 2:45Biases in Moments of Satake Parameters and in Zeros near the Central Point in Families of L-FunctionsSteven Miller, Williams College11th Floor Lecture Hall
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2:45 - 3:00Approximate functional equation and representation theoryAndre Reznikov, Bar-Ilan University11th Floor Lecture Hall
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3:00 - 3:30Coffee/Tea Break11th Floor Collaborative Space
3:30 - 5:00Discussion/Work Time11th Floor

Wednesday November 11, 2015
Time Description Speaker Location Abstracts Slides
9:00 - 10:00Variance of divisor functions in arithmetic progressions. Kannan Soundararajan, Stanford University11th Floor Lecture Hall
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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-functionsMichael 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 sumsGhaith Hiary, Ohio State University11th Floor Lecture Hall
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2:15 - 2:30Investigating the vertical distribution of zeros of L-functionsCaroline Turnage-Butterbaugh, Duke University11th Floor Lecture Hall
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2:30 - 2:45More computations of the Riemann zeta functionJonathan Bober, University of Bristol11th Floor Lecture Hall
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2:45 - 3:00First moments of L-functionsMaksym Radziwill, Rutgers University11th Floor Lecture Hall
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3:15 - 5:00Poster Session and Coffee Break11th Floor Collaborative Space

Thursday November 12, 2015
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Automorphic Forms on GL(n)Valentin Blomer, Universität Göttingen11th Floor Lecture Hall
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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
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12:00 - 2:00Break for Lunch/Free Time
2:00 - 2:15Update on curves of genus 3 with many rational pointsNoam Elkies, Harvard University11th Floor Lecture Hall
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2:15 - 2:30GL_3 Maass forms and the Kuznetsov trace formulaMin Lee, University of Bristol11th Floor Lecture Hall
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2:30 - 2:45Analytic Questions Concerning Shintani Zeta FunctionsFrank Thorne, University of South Carolina11th Floor Lecture Hall
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2:45 - 3:00Additive Divisor Sums- bounds and conjectures.Nathan Ng, University of Lethbridge11th Floor Lecture Hall
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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 OrigamiRobert J. LangSalomon Center for Teaching, Providence, RI 02912, United States

Friday November 13, 2015
Time Description Speaker Location Abstracts Slides
9:30 - 10:30Computing central values of twisted L-functions of higher degreeNathan Ryan, Bucknell University11th Floor Lecture Hall
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10:30 - 11:00Coffee/Tea Break11th Floor Collaborative Space
11:00 - 12:00Non-vanishing of automorphic $L$-functions of prime power levelOlga Balkanova, ICERM Semester Postdoc11th Floor Lecture Hall
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12:00 - 2:00Break for Lunch / Free Time
2:00 - 5:00Discussion / Work Time
3:30 - 4:00Coffee/Tea Break