Algebra and Number Theory Seminar
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Posted October 11, 2019

Last modified January 14, 2020

Kent Vashaw, Louisiana State University

Noncommutative tensor triangular geometry

We describe a general theory of the prime spectrum of non-braided monoidal triangulated categories. These notions are a noncommutative analogue to Paul Balmer's prime spectra of symmetric tensor-triangulated categories. Noncommutative monoidal triangulated categories appear naturally as stable module categories for non-quasitriangular Hopf algebras and as derived categories of bimodules of noncommutative algebras. In stable module categories of Hopf algebras, the support theory of the category, as described by Benson-Iyengar-Krause, is linked to the Balmer spectrum, which is shown to be the final support datum. We will describe how this connection can be used to compute Balmer spectra in general, and we will compute the Balmer spectra for stable module categories of the small quantum group of a Borel subalgebra at a root of unity, and the stable module categories for smash coproduct Hopf algebras of group algebras with coordinate rings of groups. This is joint work with Daniel Nakano and Milen Yakimov.

Colloquium
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Posted January 10, 2020

3:30 pm - 4:20 pm TBD
Christopher Sogge, Johns Hopkins University
J. J. Sylvester Professor of Mathematics

TBD

Applied Analysis Seminar
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Posted December 2, 2019

3:30 pm Lockett 233
Junshan Lin, Auburn University

Title pending

Algebra and Number Theory Seminar
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Posted January 15, 2020

3:10 pm - 4:00 pm 232 Lockett
Po-Han Hsu, Louisiana State University

TBA

Computational Mathematics Seminar

Posted January 7, 2020

3:30 pm - 4:20 pm Digital Media Center 1034
Giordano Tierra-Chica, University of North Texas

Numerical Schemes for Mixtures of Isotropic and Nematic Flows Taking into Account Anchoring and Stretching Effects

The study of interfacial dynamics between two different components has become the key role to understand the behavior of many interesting systems. Indeed, two-phase flows composed of fluids exhibiting different microscopic structures are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: microscopic inside each component, mesoscopic interfacial morphology and macroscopic hydrodynamics. Moreover, in the case of complex fluids composed by the mixture between isotropic (newtonian fluid) and nematic (liquid crystal) flows, its interfaces exhibit novel dynamics due to anchoring effects of the liquid crystal molecules on the interface.

In this talk I will introduce a PDE system to model mixtures composed by isotropic fluids and nematic liquid crystals, taking into account viscous, mixing, nematic, stretching and anchoring effects and reformulating the corresponding stress tensors in order to derive a dissipative energy law. Then, I will present new linear unconditionally energy-stable splitting schemes that allows us to split the computation of the three pairs of unknowns (velocity-pressure, phase field-chemical potential and director vector-equilibrium) in three different steps. The fact of being able to decouple the computations in different linear sub-steps maintaining the discrete energy law is crucial to carry out relevant numerical experiments under a feasible computational cost and assuring the accuracy of the computed results.

Finally, I will present several numerical simulations in order to show the efficiency of the proposed numerical schemes, the influence of the shape of the nematic molecules (stretching effects) in the dynamics and the importance of the interfacial interactions (anchoring effects) in the equilibrium configurations achieved by the system.

(Refreshments at 3:00PM in the Computational Math Area of LDMC)

Algebra and Number Theory Seminar
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Posted January 14, 2020

Mardi Gras Holiday

Applied Analysis Seminar
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Posted December 2, 2019

3:30 pm Lockett 233
Rudi Weikard, University of Alabama at Birmingham

Title pending

Geometry and Topology Seminar
Seminar website

Posted November 11, 2019

3:30 pm - 4:30 pm Lockett 233
Zhenkun Li, MIT

TBA

Algebra and Number Theory Seminar
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Posted January 14, 2020

Spring Break

Algebra and Number Theory Seminar
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Posted January 14, 2020

3:10 pm - 4:00 pm 232 Lockett
Walter Bridges, Louisiana State University

TBA

Algebra and Number Theory Seminar
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Posted January 14, 2020

3:10 pm - 4:00 pm 232 Lockett
Shashika Mestrige, Louisiana State University

TBA

Algebra and Number Theory Seminar
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Posted January 14, 2020

Last modified January 15, 2020

Alyson Deines, Center for Communications Research La Jolla (CCR-L)

TBA

Colloquium
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Posted January 15, 2020

3:30 pm - 4:20 pm Lockett 232
Lenhard Ng, Duke University

TBD

Undergraduate Student Colloquium

Posted January 13, 2020

TBA
Shelly Harvey, Rice University

Undergraduate Talk

Posted January 13, 2020

TBA
Shelly Harvey, Rice University

Graduate talk