Title: Fractals and Syzygies Abstract: Syzygies are objects invented and utilized by David Hilbert in 1890 to study relations among polynomial equations, and have played a big role in the development of modern algebraic geometry. The quest to understand patterns of syzygies is both challenging and interesting, and sometimes reveals unexpected connections to other branches
AWM is co-sponsoring a talk given by Daphanie Nisbeth from the NSA. The talk will be on Tuesday, September 27th, at 4:30 pm in Gordon Palmer Hall 301-302.Please see the attached flyers for information on the talk and information about their summer programs.We hope to see you there!
Title: On the long term dynamics of the Landau-DeGennes gradient flow Abstract: We study the gradient flow of the Landau-deGennes energy functionals, in the physically relevant spatial dimensions $d=2,3$. We establish global well-posedness and global exponential time decay bounds for large $H^1$ data in the 2D case, and uniform bounds for large data in 3D.
Title: Quantifying model-form uncertainty with an application to subsurface transport Abstract: Computational models are increasingly used to make predictions affecting high-consequence engineering design and policy decisions. However, incomplete information about the represented phenomena and limitations in computational resources require approximations and simplifications that can lead to uncertainties in the computational models’ forms and errors in