Scientific seminar “On volumes of hyperbolic polytopes”

Scientific seminar “On volumes of hyperbolic polytopes”

The event passed
6 Apr 2021
Location
Online
About the event

6 April at 12:00 MSK

Topic: On volumes of hyperbolic polytopes.

The talk will provide an overview of recent results on the theory of volumes of hyperbolic polytopes. In the first part of the lecture, our focus will be on the application of the scheme for the proof of the Sforza formula for the volume of an arbitrary non-Euclidean tetrahedron to the calculation of the volume of a hyperbolic orthoscheme and an octahedron with 4|m-symmetry. In the second part, we will consider Sabitov's method for calculating hyperbolic volumes, based on the multidimensional Stokes formula, and the application of this method to cyclic polytopes. Finally, we will talk about the volumes of permutohedra (permutation polyhedra) in the Lobachevsky space.

Online

Speaker

Krasnov Vladimir A., Mathematical Institute, RUDN University.

Related eventsAll events
2023
28 Mar
Scientific seminar on the differential and functional differential equation “Non-radiality of the second eigenfunction of the fractional Laplace in the ball”
2023
20 Mar
Scientific seminar «Modern methods of plant resources research»
2023
15 Mar
International Scientific Seminar «Landscape engineering and nature-based technologies»
2023
14 Mar
Seminar “On the spectral theory of 1D Schrödinger and Dirac operators with point interactions and quantum graphs”