05/12/2018, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Miguel Tierz, Grupo de Fisica Matematica, Universidade de Lisboa
Random matrix theory in topological gauge theories
We present an overview of analytical tools in random matrix theory and related areas, involving Toeplitz/ Hankel determinants and symmetric functions, with an emphasis on their relevance in the study of topological gauge theory and focussing on some specific Chern-Simons theories and 2d Yang-Mills theories. We will also explain how these methods and results are intertwined with localization results in supersymmetric gauge theories.