Rational homotopy theory and computation of cohomology

Title: Rational homotopy theory and computation of cohomology

Abstract:
In algebraic topology, topological spaces are studied via invariants such as cohomology and homotopy groups. By using rational homotopy theory, we can explicitly describe these invariants in terms of algebraic objects, namely, Sullivan algebras. In this talk, I will introduce rational homotopy theory together with explicit computational examples. Moreover, I will also introduce the software "kohomology", which I have developed to compute complicated examples.

Time: Nov 28, 2023 11:00 AM Osaka, Sapporo, Tokyo

Zoom Link;

Invite Link https://oist.zoom.us/j/97348134173?pwd=OGF3WUE4UTBlYVdHc1FhamFPaHo3Zz09 https://oist.zoom.us/j/97348134173?pwd=OGF3WUE4UTBlYVdHc1FhamFPaHo3Zz09

Join Zoom Meeting
https://oist.zoom.us/j/97348134173?pwd=OGF3WUE4UTBlYVdHc1FhamFPaHo3Zz09

Meeting ID: 973 4813 4173
Passcode: 157060