Geometry of Arithmetic Statistics (2020)

Date & Time


Location

Schloss Elmau
In Elmau 2, 82493 Krün Germany

View Map
Deadline to Register

Monday February 10, 2020

Participation is by invitation only. All participants must register.

Organizers:
Alina Bucur, University of California, San Diego
Jordan Ellenberg, University of Wisconsin, Madison
Ila Varma, University of California, San Diego
David Zureick-Brown, Emory University

The Simons Symposium on Geometry of Arithmetic Statistics will bring together experts to explore recent developments in arithmetic statistics, an old subject which in recent years has been recast in a totally new light and represents a sudden influx of geometric ideas to what has traditionally been an analytically-flavored subject. The series will gather the disparate research groups reshaping arithmetic statistics and develop a unified point of view about the geometric future of the subject.

The topics to be discussed include:

• Advances and recent applications of the geometry of numbers and arithmetic invariant theory, including recent work by Bhargava and Shankar and Bhargava, Skinner and Zhang, especially their development of a more robust theory of sieve methods, which allows a systematic approach to counting in shapes that can be quite unwieldy and “thin”.

• The “Q-method” of Bhargava, Shankar and Wang, which improves mod p sieves into ones that are mod p2 by suitable high dimensional embeddings and has seen applications to squarefree values of polynomial discriminants and asymptotics over thin families, giving additional evidence towards the Cohen-Lenstra-Martinet heuristics.

• New approaches to the Batyrev-Manin conjectures, including Ellenberg, Satriano and Zureick-Brown’s recent development of a theory of heights for rational points on stacks, which unifies the Cohen-Lenstram-Martinet and Batyrev-Manin into a single framework as well as Peyre’s 2018 “Beyond Heights” which introduces “categorification” (or better “latticification”) of the idea of counting by height, and appears to be critical in unraveling the mysterious “accumulating subvarieties” which make the Batyrev-Manin conjectures difficult to state and to computationally assess

 

  • Agendaplus--large

    SUNDAY

    8:30 - 9:30 PMDinner (Location TBA)

    MONDAY

    7:30 - 9:45 AMBreakfast at La Salle
    10:00 - 11:00 AMScientific Program
    11:00-11:30 AMBreak
    11:30 - 12:30 PMScientific Program
    12:30 - 1:30 PMLunch at La Salle
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMScientific Program
    6:00 - 6:15 PMBreak
    6:15 - 7:15 PMScientific Program
    8:00 - 9:30 PMDinner (Location TBA)

    TUESDAY

    7:30 - 9:45 AMBreakfast at La Salle
    10:00 - 11:00 AMScientific Program
    11:00-11:30 AMBreak
    11:30 - 12:30 PMScientific Program
    12:30 - 1:30 PMLunch at La Salle
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMScientific Program
    6:00 - 6:15 PMBreak
    6:15 - 7:15 PMScientific Program
    8:00 - 9:30 PMDinner (Location TBA)

    WEDNESDAY

    7:30 - 9:30 AMBreakfast
    9:45 - 2:00 PMGuided Hike to Partnach Gorge
    2:00 - 3:00 PMLunch at La Salle
    3:00 - 4:30 PMDiscussion & Recreation*
    4:30 - 5:00 PMTea
    5:00 - 6:00 PMScientific Program
    6:00 - 6:15 PMBreak
    6:15 - 7:15 PMScientific Program
    7:30 - 8:15 PMDinner (Location TBA)
    8:30 - 9:30 PMTBA

    THURSDAY

    7:30 - 9:45 AMBreakfast at La Salle
    10:00 - 11:00 AMScientific Program
    11:00-11:30 AMBreak
    11:30 - 12:30 PMScientific Program
    12:30 - 1:30 PMLunch at La Salle
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMScientific Program
    6:00 - 6:15 PMBreak
    6:15 - 7:15 PMScientific Program
    8:00 - 9:30 PMDinner (Location TBA)

    FRIDAY

    7:30 - 9:45 AMBreakfast at La Salle
    10:00 - 11:00 AMScientific Program
    11:00-11:30 AMBreak
    11:30 - 12:30 PMScientific Program
    12:30 - 1:30 PMLunch at La Salle
    1:30 - 4:30 PMDiscussion & Recreation*
    4:30- 5:00 PMTea
    5:00 - 6:00 PMScientific Program
    6:00 - 6:15 PMBreak
    6:15 - 7:15 PMScientific Program
    8:00 - 9:30 PMDinner (Location TBA)

    LOCATIONS

    SESSIONSPavilion located at the Schloss Elmau Retreat
    MEALSLa Salle unless otherwise noted
    TEA & DISCUSSIONPavilion 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.

  • AVplus--large

    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 Excursionplus--large

    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.

  • 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.

    Visas

    Should you require a visa to travel to Germany, please contact Meghan Fazzi for an official letter of invitation to assist in the application process. The visa approval process can last several months, especially for non-residents residing in the US wishing to travel to and return from countries outside North America. We recommend attendees begin their visa application paperwork as soon as you have registered for the symposium.

    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 Klais 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

    Schloss Elmau Luxury Spa & Cultural Hideaway

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

    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.

    Dress Code

    Business casual clothing should be worn during the symposium.

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

  • 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 7:30 AM at La Salle restaurant. Food at La Salle 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

    Christophe Vergnol, Protravel
    chrisvgroup@protravelinc.com
    (646)-747-9767

    Meeting Questions and Assistance

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

  • Reimbursement and Participation 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.

    Participation and Guest Policy

    By registering, you agree to participate fully in the symposium program, which begins on Sunday and concludes on Saturday. No accommodations will be made for partial attendance.

    It is the foundation’s policy to discourage spouses, families or others from joining participants during the symposium. Participants who choose to invite guests to come before or stay on after the symposium 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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