We continue our discussion of r-discrete groupoids with left Haar systems and the C*-algebras that arise from them.
Introduction to Groupoids, part 4 Sponsored by the Meyer Fund
Sep. 30, 2014 2pm (MATH 350)
Lie Theory
Nat Thiem (CU)
X
In this series of two talks, the goal is to study combinatorial realizations of representations induced from unipotent subgroups. The first talk will build a combinatorial framework for the representations of the finite general linear groups via symmetric functions. The goal is to have a setting where representations have a pleasing combinatorial existence even without knowing the algebraic underpinnings. The second talk will then find the induced characters of unipotent groups in this combinatorial setting. This is joint work with S. Andrews.
Supercharacters and the generalized Gelfand--Graev representations
Sep. 30, 2014 3pm (Math 350)
Algebraic Geometry
Matthew Grimes (University of Colorado)
X
Recent work on the log minimal model program for the moduli space of curves, as well as past results of Caporaso, Pandharipande, and Simpson motivate an investigation of compactifications of the universal moduli space of slope semi-stable vector bundles over moduli spaces of curves arising in the Hassett-Keel program. Our main result is the construction of a universal moduli space of slope semi-stable sheaves which compactifies the moduli space of vector bundles over the moduli space of pseudo-stable curves.
The first half of the talk will emphasize accessibility and focus on background material: geometric invariant theory, moduli problems, and the log-minimal model program. In the second segment, we will discuss the construction of the universal moduli space of vector bundles.
Introduction to Groupoids, part 4