"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
Title: Equivariant automorphism groups and real forms of complexity-one varieties
Abstract: Let G be a connected reductive algebraic group over a perfect field. I will discuss the representability of equivariant automorphism groups of certain G-varieties. More precisely, for a broad class of G-varieties, called G-varieties of complexity one, I will explain why this group is representable by a group scheme locally of finite type, and even by a linear algebraic group in the almost homogeneous case. Finally, I will show how understanding the equivariant automorphism group, particularly through a description in terms of an exact sequence, allows us to address the question of the finiteness of real forms of G-varieties of complexity one. This is joint work with Giancarlo Lucchini Arteche (arXiv:2507.18475).
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Ivan Arzhantsev
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