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Workshop

Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017
 Registration Deadline: February 23, 2017 12 months ago November 06, 2016 over 1 year ago
Parent Program: Analytic Number Theory MSRI: Simons Auditorium, Atrium
Organizers Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), Kaisa Matomäki (University of Turku), Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))
Speaker(s)

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Description
There will be three minicourses, each three hours long: (1) K. Matomäki and M. Radziwill on multiplicative functions (2) Ph. Michel on trace functions and their applications (3) I. Petrow on Kuznetsov formula, Kloostermania and applications All other talks are one-hour long and will be targeted to a wide audience. In particular, speakers will attempt to give lectures that are also accessible to the participants of the Harmonic Analysis Programme. To help introduce the topics of the workshop to members of the harmonic analysis program, there will be a 45 minutes introductory lecture by Ph. Michel targeted for them.    Group Photo
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
• Analytic number theory

• Multiplicative number theory

• Automorphic forms

• L-functions

• Exponential sums over finite fields

• Arithmetic Quantum Chaos

• Multiplicative functions

• Kuznetsov formula

• Kloosterman sums

• Trace functions

• Arithmetic functions

• Chebychev bias

• Epstein zeta functions

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics

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

Students, recent Ph.D.'s, 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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MSRI has preferred rates at the Hotel Durant, depending on room availability. Reservations may be made by calling 1-800-238-7268 OR directly on their website. When making reservations, guests must request the MSRI preferred rate. Click on "Promo/Corporate Code" at the top of the page and enter the code 123MSRI (this code is not case sensitive).

MSRI has a preferred rate at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount. To book online visit this page. Click on "Promo/Corporate Code" at the top of the page and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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Feb 06, 2017
Monday
 09:00 AM - 09:15 AM Welcome 09:15 AM - 10:00 AM Introductory talk (Ph. Michel) -- targeted in particular to members of the harmonic analysis program Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL)) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Mini-course on multiplicative functions Kaisa Matomäki (University of Turku), Maksym Radziwill (McGill University) 11:30 AM - 02:00 PM Lunch 02:00 PM - 03:00 PM Geometric analytic number theory Jordan Ellenberg (University of Wisconsin-Madison) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Moments of arithmetical sequences Daniel Fiorilli (University of Ottawa) 04:45 PM - 05:45 PM The Kuznetsov Formula, Kloostermania and Applications Ian Petrow (ETH Zürich)
Feb 07, 2017
Tuesday
 09:30 AM - 10:30 AM $\ell$-adic trace functions in analytic number theory Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL)) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM A glimpse at arithmetic quantum chaos Gergely Harcos (Central European University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Quadratic twists of elliptic curves with 3-torsion Robert Lemke Oliver (Tufts University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Mini-course on multiplicative functions Kaisa Matomäki (University of Turku), Maksym Radziwill (McGill University) 04:30 PM - 06:20 PM Reception
Feb 08, 2017
Wednesday
 09:30 AM - 10:30 AM The Kuznetsov Formula, Kloostermania and Applications Ian Petrow (ETH Zürich) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM $\ell$-adic trace functions in analytic number theory Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))
Feb 09, 2017
Thursday
 09:30 AM - 10:30 AM Large fixed order character sums Youness Lamzouri (York University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM On Epstein's zeta function and related results in the geometry of numbers Anders Sodergren (Chalmers University of Technology) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Mini-course on multiplicative functions Kaisa Matomäki (University of Turku), Maksym Radziwill (McGill University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM $\ell$-adic trace functions in analytic number theory Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))
Feb 10, 2017
Friday
 09:30 AM - 10:30 AM Trace functions and special functions Will Sawin (ETH Zürich) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM The Kuznetsov Formula, Kloostermania and Applications Ian Petrow (ETH Zürich) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Variations on the Chebychev bias phenomenon Florent Jouve (Université de Bordeaux I) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM L-functions and spectral summation formulae for the symplectic group Valentin Blomer (Georg-August-Universität zu Göttingen)