19 October 2020, 18:30 - (UTC+3)

Title : Voronoi conjecture for five-dimensional parallelohedra

Speaker : Alexey Garber (The University of Texas Rio Grande Valley)

Organization : Knots and representation theory (by Skype: knots-in-moscow)

Abstract:

In this talk I am going to discuss a well-known connection between lattices in $\mathbb{R}^d$ and convex polytopes that tile $\mathbdd{R}^d$ with translations only.

My main topic will be the Voronoi conjecture, a century old conjecture which is, while stated in very simple terms, is still open in general.

The conjecture states that every convex polytope that tiles $\mathbb{R}^d$ with translations can be obtained as an affine image of the Voronoi domain for some lattice.

I plan to survey several known results on the Voronoi conjecture and give an insight on a recent proof of the Voronoi conjecture in the five-dimensional case. The talk is based on a joint work with Alexander Magazinov.

21 October 2020, 10:30 - (UTC+3)

Title: Torsion in Khovanov homology of links with smoothing number one

Speaker: Xiao Wang (Jilin University)

Organization : Seminar in Moscow and Beijing by zoom

Abstract :

Khovanov homology as a categorification of the Jones polynomial is an important link invariant. In this talk, I will briefly introduce the definition of Khovanonv homology(Viro's version), and then show some infinite families of links with smoothing number one, whose Khovanov homology contain 3-8 torsion. Then, we explore some connections between Hochschild homology and Khovanov homology. In particular, we can show that after certain i grading, the Khovanov homology of torus links are zero.

The seminar will be held during 15:30--17:00 (Beijing time) on Zoom.

Meeting ID: 831 5020 0580

Password: 141592

22 October 2020, 17:30 - (UTC+3)

Title: Non-real zeroes of homogeneous differential polynomials and a generalisation of the Laguerre and Newton inequalities

Speaker: Mikhail Tyaglov (Shanghai Jiao Tong University)

Organization: Mathematical colloquium in BMSTU

Abstract: See here

Подключиться к конференции Zoom

https://us02web.zoom.us/j/9483416153?pwd=NzJmdk5pZjdiMXdoMUFoakNzNFhLQT09

Идентификатор конференции: 948 341 6153

Код доступа: 2SXtEz