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Today

Andrew Manion, NC State, Heegaard Floer homology and higher tensor products

SAS 4201

I will give a brief introduction to Heegaard Floer homology and survey what's known about its "extended" structure via Lipshitz-Ozsvath-Thurston's bordered Floer homology and Douglas-Lipshitz-Manolescu's cornered Floer homology. Then I will sketch a connection between this extended structure and a more algebraic problem, the construction of tensor products for higher representations, arising from my recent work with…

MATLAB Tutorial, SIAM Student Chapter part 2

LMP 218

The first SIAM event of the semester will be a MATLAB tutorial! This will be a two-part series, starting from the basics of MATLAB coding and building further into more complicated coding necessities. People with all levels of coding backgrounds are welcome to attend and there will be something new for everyone! We especially recommend…

Laura Colmenarejo, NC State, The Story of My Research

SAS 4201

In this talk, I will share with you what kind of problems I work on and what's my motivation. We will talk about the representation theory of finite groups and symmetric functions, and how algebraic combinatorics appears in the less expected places. This talk aims to be mostly informal and accessible for grad students.  Speaker’s…

Kate Pearce, NC State, Methodological Considerations for Identifiability and Parameter Subset Selection

Zoom

The issue of parameter identifiability is a pervasive one in determining model parameters from data, specifically in trying to answer whether unique parameter estimation is possible for a given problem. Many related definitions of identifiability with subtle distinctions can be found in existing literature, and in this talk, we highlight some of the most utilized…

Christopher Leonard, NC State, Mapping from Low Fidelity to High Fidelity Analysis for Failure Quantities of Interest

Zoom

Often in large numerical simulations decisions are made to reduce the fidelity of particular features in order to simulate the event duration. One common method is the application of shell formulations instead of 3D continuum, especially for objects with large aspect ratios of extent to thickness. While these reductions allow for longer duration events to…

Bessa Pacelli, Universidade Federale de Ceara, Fortaleza, Stochastic half-space theorems for minimal surfaces and H-surfaces of $\mathbb{R}^{3}$.

Zoom

In the 1980s Xavier proved that a complete non-planar minimal surface with bounded curvature of $\mathbb{R}^{3}$ can not lie in half-space. In 1990, Hoffman-Meeks proved that this half-space property holds for properly immersed non-planar minimal surfaces of $\mathbb{R}^{3}$ as well. And they went further, proving what is called "the strong half-space theorem" that states that…

Melisa Zhang, UGA, Constructions toward topological applications of U(1) x U(1) equivariant Khovanov homology

Zoom

In 2018, Khovanov and Robert introduced a version of Khovanov homology over a larger ground ring, termed U(1)xU(1)-equivariant Khovanov homology. This theory was also studied extensively by Taketo Sano. Ross Akhmechet was able to construct an equivariant annular Khovanov homology theory using the U(1)xU(1)-equivariant theory, while the existence of a U(2)-equivariant annular construction is still…

Giulia Cavagnari, Politecnico di Milano, Italy, Evolution equations in Wasserstein spaces driven by dissipative probability vector fields: a variational approach

Zoom

In this talk we present well posedness of Measure Differential Equations, i.e. evolution equations in the Wasserstein space of probability measures driven by dissipative probability vector fields. We take inspiration from the theory of \emph{dissipative operators} in Hilbert spaces and of Wasserstein gradient flows of geodesically convex functionals. Our approach is based on a measure-theoretic…

Graduate Student Panel, What is a Prelim?

Zoom

Are you a graduate student that has to do a "Preliminary Oral Exam" at some point in the future?  Do you also have no idea what a "Preliminary Oral Exam" is?  This event is designed for you!  As part of the Graduate Training Modules series, MGSA is hosting a "What is a Prelim?" event consisting of…

Corey Jones, NC State, Fusion categories in mathematics and physics

SAS 4201

Fusion categories are algebraic structures that generalize the representation categories of finite groups. I will explain how fusion categories have become involved in diverse areas of mathematics and physics, from topologically ordered phases of matter in 2-dimensions to quantum symmetries of noncommutative spaces.   Jointly in person and virtually on Zoom. SAS 4201 for in-person…

Walker Powell, Convergence Acceleration for a 2-Level Iterative Neutronics Solution Scheme

Zoom

Accurate simulations of neutron transport within nuclear reactors are an important component in developing safe and efficient reactors and operation protocols. However, high-fidelity simulations of an entire core are often too costly for use in multi-query applications, such as multi-physics coupling, uncertainty quantification, or optimal experimental design. To facilitate efficient simulations, we utilize a simulation…

Qi Tang, Staff Scientist, Los Alamos National Laboratory, An adaptive, scalable fully implicit resistive MHD solver and its application in plasmoid instability

Zoom

The magnetohydrodynamics (MHD) equations are continuum models used in the study of a wide range of plasma physics systems. However, efficient numerical solution methods for MHD are extremely challenging due to disparate time and length scales, strong hyperbolic phenomena, and nonlinearity. Therefore the development of scalable, implicit MHD algorithms and high-resolution adaptive mesh refinement strategies…

Demetre Kazaras, Duke University, Calculating total mass with harmonic functions

SAS 4201

The ADM mass of an isolated gravitational system is a geometric invariant measuring the total mass due to matter and other fields. I'll describe how to compute this invariant (in 3 spatial dimensions) by studying harmonic functions as well as solutions to other elliptic equations. Recent results in this context will be presented, focusing on applications to…

Saverio Salzo, Istituto Italiano di Tecnologia, Italy, The iterative Bregman projection method and applications to Optimal Transport

Zoom

Iterative Bregman projections is a classical method to compute  Bregman projections onto an intersection of affine sets. In statistics it was applied to the adjustment of distributions to a priori known marginals, and is best known as the Iterative proportional fitting procedures. In this talk I will present novel results concerning such classical method as well…

Intermediate Latex Workshop

Zoom

Along with the following blurb: "Our AMS student chapter will be hosting an Intermediate Latex Workshop! The tutorial will be led by Jessica Stevens and Ashley Tharp, focusing on Beamer and Tikz. If you have any questions, don't hesitate to reach out to Jessica or Ashley." Zoom link: https://ncsu.zoom.us/j/92300217208

Andy Manion, NC State, Higher tensor products and Heegaard Floer homology

SAS 4201

I will discuss some algebraic aspects of recent work with Raphael Rouquier on a tensor product operation for categorified representations of U_q(gl(1|1)^+) and its connections to Heegaard Floer homology. Speaker’s webpage: https://sites.google.com/usc.edu/manion/home Jointly in person and virtually on Zoom. SAS 4201 for in-person participation. The Zoom link is sent out to the Algebra and Combinatorics…

John Darges, Extreme learning machines for variance-based global sensitivity analysis

Zoom

Variance-based global sensitivity analysis (GSA) provides useful measures, Sobol' indices, of how important individual input variables are to the output of a mathematical model. Traditional estimation of Sobol' indices by Monte Carlo methods can be unfeasible for models which are computationally expensive to evaluate. An appealing approach is to instead use a surrogate whose Sobol'…

Tim Reid, Examining Sensitivity Large Computational Problems on Early Termination of CG with Probabilistic Numerics

Zoom

Many large computational problems depend on solutions to systems of linear equations. One widely used method of solving systems of linear equations is the Conjugate Gradient method (CG). Terminating CG after only a few iterations can save computational resources but can also cause an error in the solution to the system of linear equations, and…

David Keyes, King Abdullah University of Science and Technology, Nonlinear Preconditioning for Implicit Solution of Discretized PDEs

Zoom

 Nonlinear preconditioning refers to transforming a nonlinear algebraic system to a form for which Newton-type algorithms have improved success through quicker advance to the domain of quadratic convergence. We place these methods, which go back at least as far as the Additive Schwarz Preconditioned Inexact Newton (ASPIN, 2002) in the context of a proliferation distinguished…