北京雁栖湖应用数学研究院

赛蒙·阿尔塔莫诺夫 , 叶夫根·马科东斯基 , 帕维尔·尼基丁 , 沙米尔·沙基洛夫

格里戈里·帕帕亚诺夫

2025年12月19日 13:00 至 14:30

A3-4-301

Zoom 242 742 6089 (BIMSA)

Let $A$ be a dg-algebra, and let $J$ be a graded ideal in the graded algebra $H(A)$. One may then try to classify the liftings of $J$ to a dg-ideal in $A$. I want to talk about a theorem, joint with $A$. Gorinov, that over a field of characteristic zero any two liftings are quasiisomorphic in a suitable sense. The question was motivated by the problem of describing the rational homotopy type of manifold complements; I also want to discuss this application.

I am mostly interested in the applications of homological algebra to the problems of geometry, in the broad sense.