Title: New Strongly Regular Graphs from Finite Semifields and Finite Geometry
| Speaker: |
Stefano Lia |
| Affiliation: |
Umeå University |
| Location: | Please contact Sabrina Lato for Zoom link. |
Abstract: Finite geometry often provides natural examples of highly structured combinatorial objects, many of which exhibit strong symmetry properties.
In particular, many constructions of strongly regular graphs arise from classical geometric configurations. In this talk, we will present two new constructions of quasi-polar spaces, that give rise to two families of pairwise non-isomorphic strongly regular graphs, having the same non-trivial automorphism group.
Both constructions are related to a pair of commuting polarities in a projective space. Surprisingly, one of these constructions is connected to the algebraic structure of finite semifields and their tensor representation.