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Today

Jianping Pan, NC State, Crystals, Stable Grothendieck Polynomials, and Putting Numbers In Boxes

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I will tell you about my dissertation work on two variants of stable Grothendieck polynomials and their combinatorics. Relevant combinatorial objects include crystals (edge-labelled directed digraphs from representation theory), tableaux (numbers in boxes with rules), decreasing factorizations (numbers in parentheses), and insertion algorithms (how to put numbers in boxes). Background in algebraic combinatorics is helpful…

Sarah Strikwerda, NC State, Optimal Control in Fluid Flows through Deformable Porous Media

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We consider an optimal control problem subject to a poro-visco-elastic model with applications to fluid flows through biological tissues. Our goal is to optimize the fluid pressure and solid displacement using distributed or boundary control. We discuss an application of this problem to a tissue in the human eye. Previous literature on well- posedness of…

Pengtao Sun, University of Nevada, Las Vegas, Numerical Studies for Unsteady Moving Interface Problems and Applications to Fluid-Structure Interactions (FSI)

SAS 4201

In this talk, I will present our recent numerical methodology studies for unsteady moving interface problems and applications to dynamic fluid-structure interaction (FSI) problems. Our numerical methodologies include the body-fitted mesh method (arbitrary Lagrangian−Eulerian (ALE) method), the body-unfitted mesh method (fictitious domain (FD) method), combining with the mixed finite element approximation, as well as the…

Yifeng Yu, University of California – Irvine, High Degeneracy of Effective Hamiltonian in Two Dimensions

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One of the major open problems in homogenization of Hamilton-Jacobi equations is to under deep properties of the effective Hamiltonian.  In this talk,  I will present some recent progress. In particular, consider the effective Hamiltonian associated with the mechanical Hamiltonian H(p,x)=(|p|^2)/2+V(x). We can show that for generic V, the effective Hamiltonian is piecewise 1d in…

Carlos M. Ortiz Marrer, Pacific Northwest National Laboratory/ NCSU, Non-Local Games on Graphs

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In a non-local game, two non-communicating players cooperate to convince a referee about a strategy that does not violate the rules of the game. A quantum strategy for such a game enable players to determine their answers by performing joint measurements on a shared entangled state. In this talk we will concentrate on non-local games…

Michael Merritt, NC State, Efficient Global Sensitivity Analysis for Rare Event Simulation

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By their very nature, rare event probabilities are expensive to compute; they are also delicate to estimate as their value strongly depends on distributional assumptions on the model parameters. Hence, understanding the sensitivity of the computed rare event probabilities to the hyperparameters that define the distribution law of the model parameters is crucial. We show…

Dan Lucas, Keele University, Stabilisation of exact coherent structures by time-delay feedback

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Time-delayed feedback control, attributed to Pyragas (1992 Phys. Lett. 170), is a method known to stabilise periodic orbits in low dimensional chaotic dynamical systems. A system of the form dx/dt=f(x) has an additional term G(x(t)-x(t-T)) introduced where G is some 'gain matrix' and T a time delay. This form of the delay term is such…

Christian Seis, University of Münster, German, Leading order asymptotics for fast diffusion on bounded domains

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On a smooth bounded Euclidean domain,  Sobolev-subcritical fast diffusion with vanishing boundary trace leads to finite-time extinction, with a vanishing profile selected by the initial datum. In rescaled variables, we quantify the rate of convergence to this profile uniformly in relative error,  showing the rate is either exponentially fast (with a rate constant predicted by…

Mental Health and Neurodivergence

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AMS is hosting a workshop on Mental Health and Neurodivergence next Friday, October 22, 1:55-2:45pm. During the workshop, someone from the Counseling Center will give a presentation on diagnoses and disorders that are common among graduate students. They'll cover common symptoms, treatments, as well as if/how students with the diagnoses can be supported by the university, both within…

Peter McGrath, NC State, Calculus of Variations and the Bending Energy of Surfaces

SAS 1102

Beginning with the solution of the classical Plateau problem—the problem of finding an area-minimizing disk whose boundary is a prescribed simple closed curve in Euclidean 3-space—we will survey some applications of  Calculus of Variations to solve geometric extremal problems. Particular emphasis will be placed on the problem of finding a smooth surface in 3-space with…

Tim Reid, Prior Distributions for the Bayesian Conjugate Gradient Method

SAS 1108

Many computational problems depend on solving systems of linear equations. The Conjugate Gradient method (CG) is a widely used iterative method that solves systems of linear equations. Early termination of CG sacrifices accuracy to save computational resources. The Bayesian Conjugate Gradient method (BayesCG) is a probabilistic generalization of CG that solves systems of linear equations…

Daniel Massatt, University of Chicago, Electronics of Relaxed Bilayer 2D Heterostructures in Momentum Space

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Incommensurate stacked 2D materials have gained significant attention after the recent discovery of a new mechanism of superconductivity in systems with small twist angles. Theoretically, the electronics of such systems are studied through tight-binding models. These models can be studied in several different spaces, though momentum space is often the leading favorite for physicists because…

David Wiygul, ETH Zurich, Mass estimates for static vacuum metrics with small Bartnik data

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In general relativity, in the absence of special symmetries, there is no reasonable, nontrivial notion of mass-energy density accounting not only for all source fields but also for gravity itself. Nevertheless there are good definitions, such as the ADM mass, of the mass of an entire isolated system, modelled as an asymptotically flat space-time. Numerous…

Radu Ioan Boţ, University of Vienna Oskar-Morgenstern-Platz 1, Austria, Primal-dual dynamical approaches to structured convex minimization problems

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In this talk, we first propose a primal-dual dynamical approach to the minimization of a structured convex function consisting of a smooth term, a nonsmooth term, and the composition of another nonsmooth term with a linear continuous operator. To this end we introduce a dynamical system for which we prove that its trajectories asymptotically converge…

What are PTP and TCC?

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Are you interested in continuing in academia after you finish your degree?  You should consider the Preparing the Professoriate program and/or the Teaching and Communications Certificate offered by NCSU!  This week in the Graduate Training Module, GIST is excited to host Vanessa Doriott Anderson, Director of the Teaching and Communication Programs and Organizer of the Preparing…

Learning LaTeX Tutorial

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Are you an undergraduate that has heard of LaTeX, but don't know how to use it?  This event is for you!  LaTeX is the typesetting software used by the majority of mathematicians (and several other fields) for everything from CV's, to research papers to exams.  If you plan on continuing in academia, it is almost necessary…