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Course by I. S. Rezvyakova "On the densest sphere packing in dimension eight"
February 12–April 23, 2021, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom

The densest packing of equal spheres in the two-dimensional Euclidean space corresponds to the well-known hexagonal lattice (or honeycomb). However, already 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 corresponding to the Korkine–Zolotareff lattice is the densest in ${\mathbb R}^8$. In this course we provide the details of Viazovska's proof.

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. 075-15-2019-1614).

RSS: Forthcoming seminars

Lecturer
Rezvyakova Irina Sergeevna

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


Course by I. S. Rezvyakova "On the densest sphere packing in dimension eight", February 12–April 23, 2021

April 23, 2021 (Fri)
1. Lecture 11. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 23, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

April 16, 2021 (Fri)
2. Lecture 10. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 16, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

April 9, 2021 (Fri)
3. Lecture 9. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 9, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

April 2, 2021 (Fri)
4. Lecture 8. On the densest sphere packing in dimension eight
I. S. Rezvyakova
April 2, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

March 26, 2021 (Fri)
5. Lecture 7. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 26, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

March 19, 2021 (Fri)
6. Lecture 6. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 19, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

March 12, 2021 (Fri)
7. Lecture 5. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 12, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

March 5, 2021 (Fri)
8. Lecture 4. On the densest sphere packing in dimension eight
I. S. Rezvyakova
March 5, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

February 26, 2021 (Fri)
9. Lecture 3. On the densest sphere packing in dimension eight
I. S. Rezvyakova
February 26, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

February 19, 2021 (Fri)
10. Lecture 2. On the densest sphere packing in dimension eight
I. S. Rezvyakova
February 19, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  

February 12, 2021 (Fri)
11. Lecture 1. On the densest sphere packing in dimension eight
I. S. Rezvyakova
February 12, 2021 18:00, Steklov Mathematical Institute, Room. 530 (8 Gubkina) + Zoom
I. S. Rezvyakova
  
 
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