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Algebraic groups

Organizers: Nikolai Vavilov, Alexei Stepanov, Anastasia Stavrova

Forcoming talks:

15 December, 19:30, Jeroen Meulewaeter (Ghent University), ”Structurable algebras and inner ideals: Moufang sets, triangles and hexagons»

Structurable algebras are a class of non-associative algebras introduced by Bruce Allison, which includes the class of Jordan algebras. In earlier work of Lien Boelaert, Tom De Medts and Anastasia Stavrova on low rank incidence geometries related to exceptional groups it became clear that structurable algebras play an important role in their description. The natural question arose to what extent it would be possible to recover those geometries directly from the structurable algebras and their associated Tits-Kantor-Koecher Lie algebra (which are Lie algebras of algebraic groups). It turns out that the notion of an inner ideal is essential. We have been able to recover many geometries of rank one and two directly from the algebras in a surprisingly direct fashion. More precisely, we describe the so-called Moufang sets, triangles and hexagons.


Past talks:

8 December 2020, Ning Guo (Institut de Mathématique d’Orsay),”The Grothendieck-Serre conjecture over valuation rings”.

30 November 2020, V.A. Petrov, «Isotropy of Tits construction»

24 November 2020, Alex Wertenheim (UCLA), «Degree One Milnor K-Invariants of Groups of Multiplicative Type»

16 November 2020 Александра Сонина, «Многообразия Горески-Коттвица-Макферсона и кольцо Чжоу симметрического пространства Е6/F4»

10 November 2020 Alexander Merkurjev (UCLA), «Classification of special reductive groups»

2 November 2020 Anand Sawant (TIFR), «Motivic version of Matsumoto’s theorem»

19 October 2020 Simon Rigby (Ghent University), «Bi-octonion algebras, algebraic groups, and cohomological invariants»

5 October 2020 Vladimir Sosnilo, «Comparing Nisnevich descent, Milnor excision, and the pro-cdh excision»

28 September 2020 Raimund Preusser (St. Petersburg State University), «The subnormal structure of classical-like groups over commutative rings»

21 September 2020 Anstasia Stavrova, «Isotropic reductive groups over Laurent polynomials»

14 September 2020 Sergei Sinchuk, «A pro-group approach to the centrality of K_2 (joint work with A. Lavrenov and E. Voronetsky)»

23 June 2020 Katrin Tent (University of Muenster), «Defining R and G(R)»

19 May 2020 Andrei Jaikin-Zapirain (Universidad Autonoma de Madrid), «Free Q-groups are residually nilpotent»

12 May 2020 Egor Voronetsky, «A new approach to centrality of K_2»

5 May 2020 Andrei Smolensky, «Root subgroups centralizers in Kac—Moody groups»

28 April 2020 Agatha Atkarskaya (Bar Ilan University), «Group-like small cancellation theory for rings (joint work with A.Kanel-Belov, E.Plotkin, E.Rips)»

21 April 2020 Egor Voronetsky, «Twisted forms of classical groups»

14 April 2020 R. Hazrat, «Leavitt path algebras»

7 April 2020 Nikolai Vavilov, «Commutators of elementary subgroups: curious and curiouser»