The colloquium of the Center for Mathematical Sciences, Lund University, normally runs once a month, Wednesdays from 14.15 until 15.15 in the Hörmander or Gårding lecture halls. It is aimed at the entire Centre for Mathematical Sciences with overview talks by renowned experts about exciting mathematical topics. The purpose of our colloquium is twofold: firstly, it is to provide an inspiring overview of a specific field of mathematics, secondly, it is to bring together students and staff from the entire department and to serve as the proverbial waterhole where contacts are made and maintained. For more information, see the guidelines for colloquium speakers.

The colloquium is organized by Dragi Anevski, Ida Arvidsson, Magnus Goffeng, Gustavo Jasso and Tony Stillfjord. Feel free to contact any one of us for questions or suggestions for colloquia speakers. See also the information for suggesting colloquium speakers.

August 28 at MH:Riesz

Speaker

Frank Giraldo (Naval Postgraduate School)

Title

Element-based Galerkin Methods in Atmospheric Modeling

Abstract

In this talk, I will present the role that element-based Galerkin (EBG) methods have had in atmospheric modeling. I will describe the experiences of my group and collaborators to remedy the identified weaknesses and emphasize the strengths. Among EBG methods, I will describe not only spectral element and discontinuous Galerkin methods, but also flux differencing which invariably must include a discussion on kinetic-energy-preserving and entropy-stable methods. This talk is motivated by my group and collaborators’ research in building operational weather prediction models as well as advancing the field for application in climate and space weather. A list of publications on these topics can be found at: https://frankgiraldo.wixsite.com/mysite/publications.

September 11 at MH:Hörmander

Speaker

Kathleen Kohn (KTH)

Title

Algebra & Geometry in Data Science & AI

Abstract

Analyzing big and structured data and understanding modern AI tools require a vast interdisciplinary mathematical toolbox. An intricate geometry governs most data science applications and optimization tasks. This talk highlights how nonlinear algebra can be used to investigate these geometric structures. The tools we discuss are algebraic geometry at heart but driven by applications and interactions with other mathematical disciplines. The applications we focus on in this talk are machine learning with neural networks, 3D reconstruction in computer vision, and maximum likelihood estimation in statistics.

October 9 at MH:Hörmander

Speaker

Laura Mančinska (University of Copenhagen)

Title

Certification of quantum measurements via self-testing

Abstract

TBA

November 13 at MH:Riesz

Speaker

Steve Oudot (Inria and École Polytechnique)

Title

TBA

Abstract

TBA

November 27 at MH:Riesz

Speaker

Anders Karlsson (Genève and Uppsala)

Title

A fixed-point theorem for isometries

Abstract

TBA