Oct 21, 2021
Bialynicki-Birula decompositions old and new
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date: October 21, 2021 |
2:00 pm –
Speaker: Joachim Jelisiejew, University of Warsaw
Bialynicki-Birula decomposition is a powerful tool for analysing a smooth variety with a torus action. In the talk, I will discuss it and recent developments: the generalization to singular varieties and its applications, as well as an analogue of BB decomposition for additive group actions. This last generalization, which is connected to Carrell's rationality conjecture and formal algebraic PDEs, offers several open questions.