Periods and L-values of Motives

Date & Time


Location

Schloss Elmau
In Elmau 2, 82493 Krün Germany

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Registration Closed
Invitation Only

Participation is by invitation only. All participants must register.

Organizers:
Jean-Benoit Bost, University of Paris 11
Shou-Wu Zhang, Princeton University
Gisbert Wüstholz, ETH & Universität Zürich

Motives over number fields provide a modern organizing framework for Diophantine geometry | a core subject in mathematics since Greek antiquity, that still plays a central role in pure mathematics. Motives can be viewed as an abstract version of an algebraic variety. To each motive over a number field one can attached well-defined periods (that are complex numbers) and L-functions (that are meromorphic functions of one complex variable). Two basic – although still largely conjectural – principles appear to govern the relations between periods of motives, special values of their L-functions, and their arithmetic geometry:

  • special values of L-functions may be expressed in terms of arithmetic intersection theory;
  • algebraic relations between periods of a projective variety X and between special values of L-functions are explained by geometry, i.e., by algebraic cycles on X and its powers.

During the last two decades, important new developments in Diophantine geometry, mathematical physics, and automorphic representations have led to new perspectives on these two principles and on their relations to diverse central problems of arithmetic geometry. The symposia would bring together some of the experts of these developments, and stimulate possible new applications to Diophantine geometry.

In view of these recent developments, the symposium on Periods and L-values of motives, will bring together experts from different areas to discuss state-of-the-art mathematics that lies at the interface of motives over global fields, periods, and L-functions and to initiate new collaborations.
 

  • Agendaplus--large

    A PDF of the agenda may be downloaded here.

    Sunday

    7:30 - 8:30 PMDinner at La Salle
    8:30 - 9:30 PMConcert: Dmitry Masleev

    Monday

    8:30 - 9:45 AMBreakfast at The Retreat
    10:00 - 11:00 AMProgram
    11:00 - 11:30 AMBreak
    11:30 - 12:30 PMProgram
    12:30 - 1:30 PMLunch at La Salle
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMProgram
    6:00 -7:00 PMProgram
    7:15 - 8:15 PMDinner at Kaminstüberl Fondue
    8:30 - 9:30 PMConcert: Éric Vuillard

    Tuesday

    8:30 - 9:45 AMBreakfast at The Retreat
    10:00 - 11:00 AMProgram
    11:00 - 11:30 AMBreak
    11:30 - 12:30 PMProgram
    12:30 - 1:30 PMLunch at La Salle
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMProgram
    6:00 -7:00 PMProgram
    8:00 - 9:30 PMDinner at La Salle

    Wednesday

    7:30 - 9:30 AMBreakfast at The Retreat
    9:45 - 2:00 PMGuided Hike to Partnach Gorge
    2:00 - 3:00 PMLunch at La Salle
    3:00 - 4:30 PMRecreation & Discussion
    4:30 - 5:00 PMTea
    5:00 - 6:00 PMProgram
    6:00 -7:00 PMProgram
    8:00 - 9:30 PMDinner at La Salle

    Thursday

    8:30 - 9:45 AMBreakfast at The Retreat
    10:00 - 11:00 AMProgram
    11:00 - 11:30 AMBreak
    11:30 - 12:30 PMProgram
    12:30 - 1:30 PMLunch at The Retreat
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMProgram
    6:00 -7:00 PMProgram
    8:00 - 9:30 PMDinner at The Retreat

    Friday

    8:30 - 9:45 AMBreakfast at The Retreat
    10:00 - 11:00 AMProgram
    11:00 - 11:30 AMBreak
    11:30 - 12:30 PMProgram
    12:30 - 1:30 PMLunch at The Retreat
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMProgram
    6:00 -7:00 PMProgram
    8:00 - 9:30 PMDinner at Spa Lounge

    Locations

    SESSIONSPavillion located at the Schloss Elmau Retreat
    MEALSLa Salle unless otherwise noted
    TEA & DISCUSSIONPavillion located at the Schloss Elmau Retreat
    EXCURSION Meet in Schloss Elmau Lobby
    SATURDAY DEPARTUREMeet in Schloss Elmau Lobby

    *Participants may explore the hotel property and its surrounding areas as well as engage in informal discussion with other participants.
     

    AV

    Participants will have access to a projector and screen for computer-based talks and blackboards for those who prefer to give board-based talks.

    High-speed Internet access is available.

    Wednesday Excursion

    On Wednesday symposium activities are shortened for a guided hiking tour from Schloss-Elmau through the Partnach Gorge. The hike difficulty is moderate and will take approximately 3 hours.

    If you will participate in the hike, hiking boots or shoes appropriate for traversing rocky/wet terrain, warm clothing (e.g. a sweater), sun protection (e.g. light cap) and waterproofs (e.g. raincoat or umbrella) are strongly recommended.

    A small satchel containing a light snack and water is provided, but feel free to bring your own backpack in which to carry a camera and other items that may be useful to you.

    Dress Code

    Business casual clothing should be worn during the symposium.

    The weather can change very quickly; please bring warm-weather clothing appropriate for spring in the mountains.

  • Participantsplus--large
    Yves AndreInstitut de Math. de Jussieu
    Fabrizio AndreattaUniversita Statale di Milano
    Joseph AyoubUniversität Zürich
    Jean-Benoît BostUniversity of Paris 11
    Jan BruinierTechnische Universität Darmstadt
    Chieh-Yu ChangNational Tsing Hua University
    François CharlesUniversité Paris-Sud
    Pierre ColmezInstitut de Mathmatiques de Jussieu
    Hélène EsnaultFU Berlin
    Javier FresánÉcole Polytechnique, Palaiseau
    Alexander GoncharovYale University
    Philipp HabeggerUniversity of Basel
    Peter JossenETH Zürich
    Matt KerrWashington University
    Minhyong KimOxford University
    Jie LinIHES
    Yifeng LiuNorthwestern University
    Michael RapoportMathematiches Institut Universitat Bonn
    Tomohide TerasomaUniversity of Tokyo
    Ye TianAcademy of Mathematics & Systems Science
    Yichao TianMorningside Center for Mathematics
    Gisbert WüstholzETH & Universität Zürich
    Shou-Wu ZhangPrinceton University

    A PDF of the participant list may be downloaded here.

  • Travelplus--large

    Air

    The foundation will coordinate and purchase air and train travel to the symposium. Travel specifications can be provided by clicking the registration link above.

    Participants arriving via plane will arrive via Munich International Airport (MUC) Airport.

    Train

    The closet train station to Schloss Elmau is in Klais. Those traveling by train should book their tickets directly and request reimbursement at the conclusion of the meeting. Should you require booking assistance, please contact Meghan Fazzi.

    All participants are required to arrive on Sunday prior to the meeting’s start and attend the entire week. No accommodations will be made for partial participation.

    Passports

    Passports are required.

    Local Ground Transportation

    Arrival at Munich International Airport

    The foundation will arrange for your transfer from MUC airport to Schloss Elmau via a private car. After claiming your luggage at baggage claim you will proceed through customs and to the exit where a uniformed driver holding a Simons Symposia sign will greet you.

    Travel time from Munich to Schloss Elmau is 90 minutes.

    Arrival at Klais Train Station

    The foundation will arrange for your transfer from Klais train station to Schloss Elmau via a hotel shuttle.

    Travel time from Kalis to Elmau is approximately 10 minutes.

    Departure from Schloss Elmau

    The day prior to your departure you will receive a departure letter advising on your departure time to the airport or train station via private car. Please meet your driver in the hotel lobby ten minutes prior to your noted departure time. If for any reason your flight departure time changes, please visit the front desk to update hotel staff.

  • Hotelplus--large

    Scholss Elmau Retreat

    In Elmau 2, 82493 Krün
    Germany
    Tel: +49 (0) 8823 18-0
    https://www.schloss-elmau.de/en/spa-retreat/

    Check-in time is at 4:30 PM
    Check-out time is 11:30 AM

    Additional Night at Elmau

    The meeting concludes on Friday evening. Participants have the option to depart on Saturday following the conclusion of the meeting or depart on Sunday at no additional cost. Please note your desired departure date when registering.

  • Mealsplus--large

    Sunday and Saturday: Meals on arrival and departure days (including while traveling) are reimbursable by the foundation. Your meals on these days are not to exceed $115 USD.

    Monday through Friday: All meals occurring during the meeting week will be covered directly by the Simons Foundation. Participants are expected to be present for all foundation-hosted meals.

    Breakfast is served starting at 8:30 AM at The Retreat restaurant. Food at The Retreat is served buffet-style and is open to all hotel guests; tables are reserved for all symposium participants so that the group may dine together.

    Lunch is served daily at La Salle.

    Dinner is hosted around the hotel property at one of the restaurants. Locations are noted on the agenda.

  • Contactsplus--large

    Registration and Travel Assistance

    Elise Volpe, Protravel
    elise.volpe@protravelinc.com
    516-465-1006

    Meeting Questions and Assistance

    Meghan Fazzi
    Senior Executive Assistant, Simons Foundation
    mfazzi@simonsfoundation.org
    (212) 524-6080

  • Reimbursement and Travel Policyplus--large

    Reimbursement

    Any expenses not directly paid for by the Simons Foundation are subject to reimbursement based on the travel policy. Please review the policy and complete when submitting your expenses. Receipts are required for any expenses over $50 USD and are due within THIRTY DAYS (30) after the conclusion of the symposium. All expenses are reconciled through the foundation’s online reimbursement platform. Additional information regarding reimbursement is sent via email on the final day of the symposium.

    Should you have any questions, please contact Meghan Fazzi.

    Guest Policy

    It is the foundation’s policy to discourage spouses, families or others from joining participants during the meeting. Participants who choose to invite guests to come before or stay on after the meeting do so at their own expense. The Simons Foundation will not cover expenses associated with such extensions.

    Additional Nights

    Should you decide to extend your stay, Schloss Elmau will honor the conference rate of €337.50/night for up to two nights. Any nights beyond those associated with the conference are not reimbursable by the foundation.

    Please note on your registration form if you wish to extend your stay.

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