Seminar on modular forms and sphere packings [mf_seminar_2025]

I explained the motivation and method of Viazovska for finding magic functions of sphere packings as in her fantastic annal paper.

References

Reference. The sphere packing problem in dimension 8 [viazovska2017sp8]

2017
Maryna Viazovska
10.4007/annals.2017.185.3.7

In this paper we prove that no packing of unit balls in Euclidean space R8 has density greater than that of the E8-lattice packing.

@article{viazovskaSpherePackingProblem2017,
  title = {The Sphere Packing Problem in Dimension \$8\$},
  author = {Viazovska, Maryna},
  year = 2017,
  month = may,
  journal = {Annals of Mathematics},
  volume = {185},
  number = {3},
  issn = {0003-486X},
  doi = {10.4007/annals.2017.185.3.7},
}

Backlinks

What’s new! [new]

November 25, 2025: uploaded a note on sphere packings.
November 18, 2025: uploaded some old mathematical notes. You can see a new section from homepage.
September 14, 2025: uploaded a talk about Lean : Build a reliable math library