01 February 2021, 18:30 - (UTC+3)

Title: Invariants of free knots valued in free groups

Speaker: V.O. Manturov

Organization : Knots and representation theory (by Zoom)
Abstract: 

This talk is a part of the project of creating ``non-commutative'' invariants in topology. The main idea is to replace ``characteristic classes'' of moduli spaces with ``characteristic loops''. We discuss ``the last stage'' of the talk devoted to the abstract objects we get in the end: the free knots, an discuss their invariants valued in free groups.

These invariants allow one to detect easily mutations, invertibility, and other phenomena.

Record of the talk

05 April 2021, 18:30 - (UTC+3)

 

Title:Virtual knot theory methods in classical topology. Part 2: Classical links on the cylinder

Organization: Knots and representation theory

Abstract: This talk is a part of the project of creating ``non-commutative'' invariants in topology. The main idea is to replace ``characteristic classes'' of moduli spaces with ``characteristic loops''. We discuss ``the last stage'' of the talk devoted to the abstract objects we get in the end: the free knots, and discuss their invariants valued in free groups. These invariants allow one to detect easily mutations, invertibility, and other phenomena. We shall use parity on the cylinder to construct classical link invariants valued in free groups.

Record of the talk

Virtual knot theory methods in classical topology II : Knots in the full torus

Date: 11th May 2021

Knot theory seminar
of Roger Fenn​ and Louis Kauffman

Record of the talk.

Virtual knot theory methods in topology II: Partiy and cobordisms in the cylinder.

Date: 2nd June 2021

Moscow-Beijing Topology Seminar

We shall present a general theory of constructing free-group valued invariants of knots in the full torus. We shall touch on the applications of these invariants: sliceness obstructions, potential invariants of 3-manifolds

Record of the talk.

Time line

Chicago -8h

Moscow +0h

Beijing +5h

Seoul +6h

Tokyo +6h