Bialynicki-Birula decompositions old and new
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date:
Thursday, October 21, 2021 14:00 - 16:00
Speaker:
Joachim Jelisiejew (University of Warsaw)
Location:
https://mathseminars.org/seminar/AGNTISTA
Series:
Mathematics and CS Seminar
Host:
Tamas Hausel
Contact:
Birgit Oosthuizen-Noczil
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.