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ON VIAZOVSKA’S MODULAR FORM INEQUALITIES

Geometry/Topology

Speaker: Dan Romik, UC Davis
Location: 2112 MSB
Start time: Wed, Dec 31 1969, 2:10PM

Viazovska proved that the E8 lattice sphere packing is the densest sphere packing in 8 dimensions. Her proof relies on two inequalities between functions defined in terms of modular and quasimodular forms. We give a direct proof of these inequalities that does not rely on computer calculations.