Posted January 27, 2019
Last modified April 23, 2019
Federico Salmoiraghi, Department of Mathematics, LSU
Sutured Floer Homology and TQFT
Abstract: In this talk I will describe a result by Juhasz. He introduces a natural notion of cobordism between sutured manifolds, and shows that such a cobordism induces a map on sutured Floer homology. This map is a common generalization of the hat version of the closed 3-manifold cobordism map in Heegaard Floer theory, and the contact gluing map defined by Honda, Kazez, and Matic.
Posted April 16, 20194:30 pm - 5:30 pm Lockett 232
Meeting of tenured faculty
Posted January 17, 2019
Last modified April 22, 2019
Jasson Vindas, Ghent University, Belgium
Complex Tauberian theorems for Laplace transforms
Abstract: Complex Tauberian theorems have been strikingly useful tools in diverse areas of mathematics such as number theory and spectral theory for differential operators. Many results in the area from the last three decades have been motivated by applications in operator theory and semigroups. In this talk we shall discuss some developments in complex Tauberian theory for Laplace transforms. We will focus on two groups of statements, usually labeled as Ingham-Karamata theorems and Wiener-Ikehara theorems. We will present sharp versions of such theorems, including results with minimal boundary requirements on the Laplace transforms, computation of optimal Tauberian constants, and error terms. Several classical applications will be discussed in order to explain the nature of these Tauberian theorems.