Format results
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Traces of Singular Moduli and Moonshine for the Thompson group
Jeffrey Harvey - University of Chicago
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TBA
Albrecht Klemm - Rheinische Friedrich-Wilhelms-Universität Bonn
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Symplectic automorphisms of some hyperk\"ahler manifolds
Geoffrey Mason - University of California, Santa Cruz
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Moonshine at c=12
Shamit Kachru - Stanford University
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Umbral Moonshine Modules
John Duncan - Case Western Reserve University
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U-duality, exotic instantons and automorphic forms on Kac-Moody groups
Daniel Persson - Chalmers University of Technology
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Fricke S-duality in CHL models
Roberto Volpato - Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)
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Optimal Jacobi Forms and Mock Theta Functions
Miranda Cheng - Universiteit van Amsterdam
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How does extended supersymmetry affect the elliptic genus?
Katrin Wendland - University of Freiburg
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On holomorphic vertex operator algebras of central charge 24
Ching Hung Lam - Institute of Mathematics
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Traces of Singular Moduli and Moonshine for the Thompson group
Jeffrey Harvey - University of Chicago
We observe a relationship between the representation theory of the Thompson sporadic group and a weakly holomorphic modular form of weight one-half that appears in Zagier's work on traces of singular moduli and Borcherds products. We conjecture the existence of an infinite dimensional graded module… -
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Symplectic automorphisms of some hyperk\"ahler manifolds
Geoffrey Mason - University of California, Santa Cruz
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Umbral Moonshine Modules
John Duncan - Case Western Reserve University
Umbral moonshine attaches mock modular forms and meromorphic Jacobi forms to automorphisms of the Niemeier lattices. It is now known that this association can be recovered from specific, graded modules for the Niemeier lattice automorphism groups. We will describe recent progress in a program to… -
U-duality, exotic instantons and automorphic forms on Kac-Moody groups
Daniel Persson - Chalmers University of Technology
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Fricke S-duality in CHL models
Roberto Volpato - Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)
We consider dual pairs of four dimensional heterotic/type IIA CHL models with 16 space-time supersymmetries. We provide strong evidence for the existence of an S-duality acting on the heterotic axion-dilaton by a Fricke involution S --> -1/NS, where N is the order of the orbifold symmetry. While… -
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How does extended supersymmetry affect the elliptic genus?
Katrin Wendland - University of Freiburg
The elliptic genus of K3 and its decomposition into characters of the N=4 superconformal algebra of associated conformal field theories can be viewed as the outset of Mathieu Moonshine. Thus, extended supersymmetry induces additional properties of the elliptic genus, which so far lack a satisfactory… -
Modular invariance and holographic CFTs
Modular invariance plays an important role in AdS3/CFT2 holography. I discuss the structure of non-holomorphic CFT partition functions, namely in what sense the light spectrum determines the heavy spectrum and how to construct example partition functions using Poincare series. This yields necessary… -
On holomorphic vertex operator algebras of central charge 24
Ching Hung Lam - Institute of Mathematics
I will talk about the recent progress on the classification of (strongly regular) holomorphic vertex operator algebras of central charge 24. In particular, I will discuss a construction of certain holomorphic vertex operator algebras of central charge 24 using orbifold construction associated to… -