Jan Manschot (HMI/TCD)
Larry Rolen (HMI/TCD)
Modular forms have been of major significance in various subjects, such as number theory, algebraic geometry and theoretical physics. The aim of this workshop is to bring together researchers on modular forms and their applications. The workshop will pay specific attention to indefinite theta functions, which play a key role in the modern understanding of Ramanujan’s mock theta functions, as well as in conformal field theory, BPS state counting and wall-crossing of moduli invariants. The workshop will include lectures by five leading international experts, who will each deliver two talks. We hope that the lecture program will be of particular interest to young researchers in the field, including Phd students and postdocs.
Tuesday:
10:30-11:00 Coffee and registration
11:00-12:00 Zwegers:(Indefinite) Theta Functions: an introduction
12:00-14:00 Lunch
14:00-15:00 Zwegers: Explicit construction of theta functions for quadratic forms of general signature
15:00-15:30 Coffee break
15:30-16:00 Stephan Ehlen: A completion of a generating series of Duke-Imamoglu-Toth
Wednesday:
9:30-10:30 Pioline: Indefinite theta series and generalized error functions I
10:30-11:00 Coffee
11:00-12:00 Creutzig: Introduction to the modular aspects of logarithmic conformal field theory I
12:00-14:00 Lunch
14:00-15:00 Kudla: Integrals of theta forms I
15:00-15:30 Coffee break
15:30-16:00 Michael Griffin: Umbral Moonshine
Thursday:
9:30-10:30 Pioline: Indefinite theta series and generalized error functions II
10:30-11:00 Coffee
11:00-12:00 Creutzig: Introduction to the modular aspects of logarithmic conformal field theory II
12:00-14:00 Lunch
14:00-15:00 Hikami: Quantum modular forms I: Introduction to quantum invariants of knots and 3-manifolds
15:00-15:30 Coffee break
15:30-16:00 Yingkun Li: Another sum expression for the Appell-Lerch sum
Friday:
9:30-10:30 Hikami: Quantum modular forms II: Asymptotics of quantum invariants
10:30-11:00 Coffee
11:00-12:00 Kudla: Integrals of theta forms II
12:00-14:00 Lunch
Registration is free of charge but mandatory. Please email theta@maths.tcd.ie to register by May 29th. The application deadline for funding has passed.
Participants are listed here