Contents/conteúdo

Mathematics Department Técnico Técnico

LisMath Seminar  RSS

26/06/2018, 11:20 — 11:50 — Room 6.2.33, Faculty of Sciences of the Universidade de Lisboa
João Dias, LisMath, Faculdade de Ciências, Universidade de Lisboa

Supercharacters for algebra groups and their geometric relations

Given any algebra group over any finite field one has a supercharacter theory constructed by P. Diaconis and I. M. Isaacs. And we may ask three questions:

  • How does the supercharacter theory behave with respect to change of field (i. e. finite field extensions)?
  • Does there exist an object that contains all supercharacter theory for all changes of field?
  • If the answer to the second question is positive, does there exist a group and a supercharacter theory that has the information given by that object?

In this talk I will give a brief introduction to the supercharacter theory and give the answer to the questions above.


Começar

Universidade de Lisboa FCUL