On November 12 at 19:00 Novosibirsk time (UTC+7) the second meeting of the Kourovka Forum will take place. Sergey Shpectorov (University of Birmingham, England) will present his talk “Axial algebras and groups”.
Axial algebras were introduced as a broad generalisation of Majorana algebras of Ivanov, which in turn generalise the properties of the Griess algebra whose automorphism group is the Monster sporadic simple group. Axial algebras with graded fusion laws have inherent symmetry and hence they always have nontrivial automorphism groups.
In the talk we survey a number of recent results concerning axial algebras of Jordan and Monster type and mention several interesting open problems.
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