• Lecturer: Emre Sertöz and Jacinta Torres
• Date: Thursday 15:15 - 16:30
• Room: MPI MiS, G3 10
• Target audience: MSc students, PhD students, Postdocs
• Language: English
• Keywords: Geomeric and combinatorial methods in the complex representation theory of semi-simple groups.
• Prerequisites: Linear algebra
• Remarks: Most lectures will be self-contained, encouraging diverse participation!
• Handout (download as PDF file)

Abstract:

The lecture will be divided in two. In the first half we will discuss the complex representation theory of the general linear group, including Schur-Weyl duality and related Young tableaux combinatorics.

The second half will be an introduction to complex geometry and projective geometry. We will begin with first examples and Bezout’s theorem. Eventually, we will build up to vector bundles and explain how one uses them to solve enumerative problems. At the very end, the two lectures will merge by stating Borel-Weil-Bott theorem, which unites both subjects.