Events
Department of Mathematics and Statistics
Texas Tech University
The Ricci flow is instrumental to the resolution of Poincare's and other important conjectures. Gradient Ricci solitons are modeling singularities that might develop along the flow. Understanding them would significantly advance our capacity to apply the theory. In this talk, we'll report certain progress on this subject in the presence of an almost complex structure and a large symmetry group.
This week's Analysis seminar may be attended at 4:00 PM CDT (UT-5) via this Zoom link.
Meeting ID: 976 4978 7908
Passcode: 973073
We explore the potential of using GAN-generated samples as a substitute for the traditional bootstrap resampling process. Specifically, we propose two procedures for low and high-dimensional cases and provide theoretical proof that both methods work. Notably, the high-dimensional method has a convergence rate that does not depend on the original dimension. Our results show that when the original dimension is low, GAN-based bootstrap can provide reliable estimates of variability and construct accurate confidence intervals.
Please virtually attend this week's Statistics seminar at 4:00 PM (CDT, UT-5) via this zoom link
Meeting ID: 993 8915 1930
Passcode: 724029
Gbemi will be presenting on a paper she read, by Lozano-Ochoa et. al. and titled 'Qualitative Stability Analysis of an Obesity Epidemic Model with Social Contagion' (Discrete Dynamics in Nature and Society, 2017).
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Bring your own lunch and discuss (mostly) biology-related topics in math. Students, postdocs, and faculty welcome from any discipline.
Ideals in the algebra of power series in three variables can be
classified based on algebra structures on their minimal free
resolutions. The classification is incomplete in the sense that it
remains open which algebra structures actually occur; this
realizability question was formally raised by Avramov in 2012. We
discuss the outcomes of an experiment performed to shed light on this
question: Using the computer algebra system Macaulay2, we classify a
billion randomly generated ideals and build a database with examples
of ideals of all classes realized in the experiment. Based on the
outcomes, we discuss the status of recent conjectures that relate to
the realizability question.
Abstract. Our goal is to develop and analyze numerical methods for incompressible flows with variable density and viscosity that can be applied to a large range of problems in engineering and geophysics. We will introduce novel numerical methods that are suitable for high order finite element and spectral methods. Moreover, for computational efficiency, the stiffness matrices of the methods considered are made time independent. First, we present a semi-implicit scheme based on projection methods and the use of the momentum, equal to the density times the velocity, as primary unknown. We analyze the stability and convergence properties of the method and establish a priori error estimates. A fully explicit version of the scheme is then proposed. Its robustness and convergence properties are studied with a pseudo spectral code over various setups involving large ratio of density, gravity and surface tension effects. Then we present a novel method based on artificial compressibility technique and we compare its robustness with the above projection-based method. Applications to magnetohydrodynamics instabilities in industrial setups such as liquid metal batteries and aluminum production cell will be also presented shortly.
About the speaker. In 2015, Loic Cappanera completed his PhD in Fluid Mechanics at Paris-Saclay University. Between 2016 to 2019, he worked as a postdoc at TAMU and Rice University. In 2019, he started to work in the Mathematics Department at the University of Houston as an Assistant Professor.
When: 4:00 pm (Lubbock's local time is GMT -6)
Where: room MATH 011 (basement)
ZOOM details:
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* Meeting ID: 940 7062 3025
* Passcode: applied