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 twodimensional Euclidean space corresponds to the wellknown 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. 0751520191614).
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






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






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






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






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






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






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






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






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






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






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





