Conference on Number Theory, Geometry, Moonshine & Strings

  • Organized by
  • Quantrell Award winner Jeff Harvey, a physics professor, in the Gordon Center Monday, May 20, 2013, at the University of Chicago.    (Photo by Robert Kozloff)Jeffrey Harvey, Ph.D.Professor, University of Chicago
Date & Time


Wed.: 8:00 am - 6:00 pm
Thu.: 8:00 am - 4:30 pm
Fri.: 8:00 am - 3:30 pm

Location

Gerald D. Fischbach Auditorium
160 5th Ave
New York, NY 10010 United States

The recognition that Calabi-Yau manifolds are fundamental for string compactification initiated a synthesis of geometry and string theory in the 1980s. This reinvigorated enumerative geometry, reshaped Gromov-Witten theory, and precipitated the development of new fields such as Donaldson-Thomas theory, quantum cohomology and homological mirror symmetry. Contemporaneously, efforts to unravel the mysteries of monstrous moonshine produced new algebraic theories which elucidated the role of automorphic forms in string theory and facilitated further developments in these and other fields.

In this century, the connections between number theory, geometry and string theory have deepened, with developments in the theory of harmonic Maass forms, the appearance of mock modular forms in enumerative geometry and string theory, and new relationships between automorphic forms and arithmetic geometry. New forms of moonshine have illuminated new paths for exploration.

The Conference on Number Theory, Geometry, Moonshine & Strings is the first in a series of meetings that will bring together mathematicians and physicists to elucidate, synthesize, develop and disseminate these emerging relationships between number theory, geometry, moonshine and string theory. The first meeting will focus on exploring number theoretic and string theoretic aspects of some recently discovered half-integral weight forms of moonshine which exhibit connections to modularity of varieties and the Birch–Swinnerton-Dyer conjecture.

Note: Attendance is by invitation only.

  • Agendaplus--large
    Wednesday, September 6
    8:00 AM CHECK-IN & BREAKFAST
    9:00 AM Eric Urban
    The BSD Conjecture
    10:00 AM BREAK
    10:30 AM Michael Mertens
    O’Nan Moonshine
    11:30 AM David Morrison
    The Number Theory of Elliptic Curves and the Physics of F-theory
    12:30 PM LUNCH
    2:00 PM Jens Funke
    Kudla-Milson for Physicists
    3:00 PM BREAK
    3:15 PM Jan Brunier
    Theta Lifts
    4:15 PM TEA
    5:00 PM Public Lecture by Jeff Harvey
    From Moonshine to Black Holes: Number Theory in Mathematics and Physics
    6:00 PM DAY ONE CONCLUDES
    Thursday, September 7
    8:00 AM BREAKFAST
    9:00 AM Miranda Cheng
    Class Number Moonshine
    10:00 AM BREAK
    10:30 AM Scott Carnahan
    Generalized Moonshine
    11:30 AM John Duncan
    TBA
    12:30 PM LUNCH
    2:00 PM Sarah Harrison
    Strings, M5-branes and Skew-holomorphic Jacobi Forms
    3:00 PM BREAK
    3:30 PM Discussion
    4:30 PM DAY TWO CONCLUDES
    Friday, September 8
    8:00 AM BREAKFAST
    9:00 AM Boris Pioline
    Maass Forms and Mock Modular Forms in Physics
    10:00 AM BREAK
    10:30 AM Larry Rolen
    Maass Forms and Mock Modular Forms in Mathematics
    11:30 AM Greg Moore
    Relations between the U-plane Integral of Donaldson-Witten Theory, Mock Modular Forms and Indefinite Theta Functions
    12:30 PM LUNCH
    1:30 PM Arnav Tripathy
    BPS State Counting and Jumping Loci
    2:30 PM Minhyong Kim
    Arithmetic Quantum Topological Field Theories
    3:30 PM MEETING CONCLUDES
  • Travelplus--large

     

    Air and Train

    Group A

    The foundation will arrange and pay for all air and train travel to the conference for those in Group A. Please provide your travel specifications by clicking the registration link above. If you are unsure of your group, please refer to your invitation sent via email.

    Group B

    Individuals in Group B will not receive travel or hotel support. Please register at the link above so that we can capture your dietary requirements. If you are unsure of your group, please refer to your invitation sent via email.

    Personal Car

    For participants driving to Manhattan, The Roger Hotel offers valet parking. Please note there are no in-and-out privileges when using the hotel’s garage, therefore it is encouraged that participants walk or take public transportation to the Simons Foundation.
  • Hotelplus--large

    Participants in Group A who require accommodations are hosted by the foundation for a maximum of four nights at The Roger hotel. Any additional nights are at the attendee’s own expense.

    The Roger New York
    131 Madison Avenue
    New York, NY 10016
    (between 30th and 31st Streets)

    To arrange accommodations, please register at the link above.

    For driving directions to The Roger, please click here.

  • Contactsplus--large

    Travel Assistance

    Christophe Vergnol, Protravel International
    christophe.vergnol@protravelinc.com
    646-747-9767

    Registration, Hotel and General Meeting Assistance

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