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Recordings "Modular forms are everywhere"

Update July 4th: The videos will be available in the next days

Recordings of the lectures from the summer school "Modular forms are everywhere".

Martin Möller Partitions, quasimodular forms and counting covers  Part1 Part2 Part3 Part4 Part5

Don Zagier Complex multiplication and its applications in the theory of modular forms  Part1 Part2 Part3 Part4 Part5

Fernando Rodriguez Villegas
Arithmetic of differential equations, with emphasis on the hypergeometric and modular cases  Part1 Part2 Part3 Part4 Part5

 

Recordings of the lectures from the conference "Modular forms are everywhere".

 

Maxim Kontsevich  Modular q-difference modules

Stavros Garoufalidis  A meromorphic extension of the 3D index

Francis Brown  A class of non-holomorphic modular forms

Masanobu Kaneko  Fourier coefficients and singular moduli of modular functions

Fernando Rodriguez Villegas  Motivic supercongruences

Martin Möller Modular forms defining gothic cathedrals

Dorian Goldfeld  Super-positivity for L-functions associated to modular forms

Özlem Imamoglu  The Kronecker limit formulas and geometric invariants for real quadratic fields, part I

William Duke The Kronecker limit formulas and geometric invariants for real quadratic fields, part II

Valentin Blomer  Spectral reciprocity and non-vanishing of L-functions

Philippe Michel  Sums of Kloosterman sums and sums of L-functions

Atish Dabholkar Mock Modular Forms on the Black Hole Horizon

Henri Darmon  Modular cocycles and class field theory

Henri Cohen  Classical Modular forms in Pari/GP

Maryna Viazovska  Modular forms and sphere packing

 

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