- Organized by
Jeffrey Harvey, Ph.D.Professor, University of Chicago
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.
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
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
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
11:30 AM John Duncan
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
Air and Train
Group AThe 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 BIndividuals 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 CarFor 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.
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.
Travel AssistanceChristophe Vergnol, Protravel International
Registration, Hotel and General Meeting AssistanceMeghan Fazzi
Senior Executive Assistant, Simons Foundation