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Course by I. S. Rezvyakova "On the densest sphere packing in dimension eight"
February 15–May 2, 2024, Steklov Mathematical Institute, Room 303 (8 Gubkina)
We kindly ask all participants, including remote ones and those
watching recorded videos, to register at this link.
The densest packing of equal spheres in two-dimensional Euclidean space
corresponds to the well-known hexagonal lattice (or, honeycomb). However, even in
dimension three the proof of the result on the densest sphere packing is rather
difficult. Nevertheless, in 2016 Maryna Viazovska elegantly, but relatively easy (by
means of modular forms), proved that the packing corresponds to the Korkine-
Zolotareff lattice is the densest in $\mathbb{R}^8$. Her achievement was awarded the Fields medal
2022. In this course we provide a detailed proof of M. Viazovska’s result affordable
for middle course students.
 Lecturer
Rezvyakova Irina Sergeevna
Financial support
The course is supported by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2022-265).
Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center |
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| Course by I. S. Rezvyakova "On the densest sphere packing in dimension eight", February 15–May 2, 2024 |
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May 2, 2024 (Thu) |
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Lecture 12. On the densest sphere packing in dimension eight
I. S. Rezvyakova
May 2, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 25, 2024 (Thu) |
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Lecture 11. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 25, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 18, 2024 (Thu) |
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Lecture 10. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 18, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 11, 2024 (Thu) |
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Lecture 9. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 11, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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April 4, 2024 (Thu) |
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Lecture 8. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 4, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 28, 2024 (Thu) |
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Lecture 7. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 28, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 21, 2024 (Thu) |
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Lecture 6. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 21, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 14, 2024 (Thu) |
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Lecture 5. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 14, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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March 7, 2024 (Thu) |
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Lecture 4. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 7, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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February 29, 2024 (Thu) |
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Lecture 3. On the densest sphere packing in dimension eight
I. S. Rezvyakova
February 29, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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February 22, 2024 (Thu) |
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Lecture 2. On the densest sphere packing in dimension eight
I. S. Rezvyakova
February 22, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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February 15, 2024 (Thu) |
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| 12. |
Lecture 1. On the densest sphere packing in dimension eight
I. S. Rezvyakova
February 15, 2024 18:00, Steklov Mathematical Institute, Room 303 (8 Gubkina)
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