Recorded 11 January 2024. Alberto Elduque of the Universidad de Zaragoza presents "The Extended Freudenthal Magic Square via tensor categories" at IPAM's Symmetric Tensor Categories and Representation Theory Workshop. Abstract: The nontrivial unital composition superalgebras, of dimension 3 and 6, which exist only in characteristic 3, are obtained from the split Cayley algebra and its order 3 automorphisms, by means of the process of semisimplification of the symmetric tensor category of representations of the cyclic group of order 3. This allows us to get, in a unified way, the Lie superalgebras in the Extended Freudenthal Magic Square in characteristic 3, by "semisimplifying" the simple Lie algebra of type E8. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/symmetric-tensor-categories-and-representation-theory/?tab=overview