The theory of automorphic forms is a rich research area with deep connections to many different fields of mathematics and physics. This conference will bring together world class researchers with expertise on automorphic forms.
The goal is to advance the theory of automorphic forms and to shed light on several open problems.
A strong emphasis will be on real-analytic automorphic forms and their role in combinatorics, mathematical physics and representation theory. In particular, the conference will concentrate on the following important topics: Harmonic weak Maass forms, harmonic Maass-Jacobi forms, mock modular forms, umbral moonshine, Nahm’s conjecture, quantum black holes, partitions and $q$-series, and asymptotics.
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Scientific Committee
Jan H. Bruinier (TU Darmstadt)
Atish Dabholkar (Institut Mathématiques de Jussieu – Paris Rive Gauche)
Ken Ono (Emory University, Atlanta)
Organizing Committee
Kathrin Bringmann (University of Cologne)
Jérémy Lovejoy (Université Paris Diderot)
Olav Richter (University of North Texas)
Speakers
- Scott Ahlgren (University of Illinois)
Algebraic and transcendental formulas for the smallest parts function
- Jan Bruinier (TU Darmstadt)
Classes of Heegner divisors and traces of singular moduli
- Miranda Cheng (Institut Mathématiques de Jussieu – Paris Rive Gauche)
Optimal Mock Jacobi Forms
- Nikolas Diamantis (University Park, Nottingham)
Automorphic forms of general weights and cohomology
- Stephen Ehlen (McGill University)
On two arithmetic theta lifts
- Sol Friedberg (Boston College)
Higher theta functions
- Jens Funke (University of Durham)
Cohomolgical aspects of weakly holomorphic modular forms and periods
- Terry Gannon (University of Alberta)
Bounded denominators and p-curvature
- Valery Gritsenko (Université de Lille)
Borcherds products and a new class of Lorentzian Kac-Moody Algebras
- Tomoyoshi Ibukiyama (Osaka University)
New theorems on Jacobi forms of general degree
- Winfried Kohnen (University of Heidelberg)
A characterization of cusp forms by means of the growth of their Fourier coefficients »
- Karl Mahlburg (Louisiana State University)
Automorphic forms and classical partition identities
- Boris Pioline (UPMC Paris 6)
A string theorist view point on the genus-two Kawazumi-Zhang invariant
- Ameya Pitale (University of Oklahoma)
Nearly holomorphic vector-valued Siegel modular forms of degree 2
- A. Raghuram (Indian Institute of Science Education)
Endoscopy and the cohomology of arithmetic groups
- Larry Rolen (University of Cologne)
Mock theta functions and quantum modular forms
- Nils Skoruppa (University of Siegen)
Explicit methods in the theory of Jacobi forms
- Harold Stark (University of California, San Diego)
The construction of modular forms
- Martin Westerholt-Raum (MPIM Bonn)
Is there a Siegel analogue of E2?
- Wadim Zudilin (University of Newcastle)
Modular parametrizations of 4th order linear differential operators and their applications in number theory
- Sander Zwegers (University of Cologne)
Fourier coefficients of meromorphic Jacobi forms
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