"Our aim is to provide a platform for exchanging ideas and recent results on algebraic transformation groups. The seminar brings together mathematicians worldwide and is particularly suitable for graduate students and researchers in algebraic geometry."
🗓️ PERIODICITY: Monthly, first Monday
🕒 TIME: 16:00 - Paris Time
⏳ DURATION: 60 minutes per talk
🔗 PLATFORM: ZOOM
Abstract: This talk is based on joint work with Serge Cantat, Hanspeter Kraft, and Andriy Regeta. We investigate the following question for a variety X: given an irreducible family of automorphisms of X that contains the identity, under which conditions does this family generate an algebraic subgroup of Aut(X)?
When the members of the family commute pairwise and X is affine, a result of Serge Cantat, Andriy Regeta, and Junyi Xie shows that such a family indeed generates an algebraic subgroup. We extend this theorem to the case where the family generates a solvable subgroup and X is only assumed to be quasi-affine. We also present several applications of this result, for example to Borel subgroups in Aut(X).
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Ivan Arzhantsev
Adrien Dubouloz
Alvaro Liendo
Andriy Regeta